diff --git a/docs/tutorials/dc_hex_ising.ipynb b/docs/tutorials/dc_hex_ising.ipynb new file mode 100644 index 00000000000..c3be6beefca --- /dev/null +++ b/docs/tutorials/dc_hex_ising.ipynb @@ -0,0 +1,1952 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "44ef87b3", + "metadata": {}, + "source": [ + "{/* cspell:ignore hcords ycords xcords fontsize ncol Krsulich Lishman */}\n", + "\n", + "# Simulation of kicked Ising Hamiltonian with dynamic circuits" + ] + }, + { + "cell_type": "markdown", + "id": "2ae52bd4", + "metadata": {}, + "source": [ + "*Usage estimate: 7.5 minutes on a Heron r3 processor. (NOTE: This is an estimate only. Your runtime may vary.)*" + ] + }, + { + "cell_type": "markdown", + "id": "c76f2627", + "metadata": {}, + "source": [ + "Dynamic circuits are circuits with classical feedforward - in other words, they are mid-circuit measurements followed by classical logic operations that determine quantum operations conditioned on the classical output. In this tutorial, we simulate the kicked Ising model on a hexagon lattice of spins and use dynamic circuits to realize interactions beyond the physical connectivity of the hardware.\n", + "\n", + "The Ising model has been studied extensively across areas of physics. It models spins that undergo Ising interactions between lattice sites, as well as kicks from the local magnetic field on each site. The Trotterized time evolution of the spins is given by the following unitary:\n", + "\n", + "\n", + "\n", + "$$\n", + "U(\\theta)=\\left(\\prod_{\\langle j, k\\rangle} \\exp \\left(i \\frac{\\pi}{8} Z_j Z_k\\right)\\right)\\left(\\prod_j \\exp \\left(-i \\frac{\\theta}{2} X_j\\right)\\right)\n", + "$$\n", + "\n", + "To probe the spin dynamics, we study the average magnetization of the spins at each site as a function of Trotter steps. Hence, we construct the following observable:\n", + "\n", + "$$\n", + "\\langle O\\rangle = \\frac{1}{N} \\sum_i \\langle Z_i \\rangle\n", + "$$\n", + "\n", + "To realize the ZZ interaction between lattice sites, we present a solution using the dynamic circuit feature, leading to a significantly shorter circuit depth compared to the standard routing method with SWAP gates. On the other hand, the classical feedforward operations in dynamic circuits typically have longer execution times than quantum gates; hence, dynamic circuits have limitations and tradeoffs. We also present a way to add a dynamical decoupling sequence on idling qubits during the classical feed-forward operation using the [stretch](https://quantum.cloud.ibm.com/docs/guides/stretch) duration." + ] + }, + { + "cell_type": "markdown", + "id": "a6c0af3b", + "metadata": {}, + "source": [ + "## Requirements\n", + "Before starting this tutorial, ensure that you have the following installed:\n", + "\n", + "* Qiskit SDK v2.0 or later with visualization support (`pip install 'qiskit[visualization]'`)\n", + "* Qiskit Runtime v0.37 or later with visualization support (`pip install 'qiskit-ibm-runtime[visualization]'`)\n", + "* Rustworkx graph library (`pip install rustworkx`)\n", + "* Qiskit Aer (`pip install qiskit-aer`)" + ] + }, + { + "cell_type": "markdown", + "id": "03860584", + "metadata": {}, + "source": [ + "## Set up" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "88a21408", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "from typing import List\n", + "import rustworkx as rx\n", + "import matplotlib.pyplot as plt\n", + "from rustworkx.visualization import mpl_draw\n", + "from qiskit.circuit import (\n", + " Parameter,\n", + " QuantumCircuit,\n", + " QuantumRegister,\n", + " ClassicalRegister,\n", + ")\n", + "from qiskit.transpiler import CouplingMap\n", + "from qiskit.quantum_info import SparsePauliOp\n", + "from qiskit.circuit.classical import expr\n", + "from qiskit.transpiler.preset_passmanagers import (\n", + " generate_preset_pass_manager,\n", + ")\n", + "from qiskit.transpiler import PassManager\n", + "from qiskit.circuit.library import RZGate, XGate\n", + "from qiskit.transpiler.passes import (\n", + " ALAPScheduleAnalysis,\n", + " PadDynamicalDecoupling,\n", + ")\n", + "\n", + "from qiskit.transpiler.basepasses import TransformationPass\n", + "from qiskit.circuit.measure import Measure\n", + "from qiskit.transpiler.passes.utils.remove_final_measurements import (\n", + " calc_final_ops,\n", + ")\n", + "from qiskit.circuit import Instruction\n", + "\n", + "from qiskit.visualization import plot_circuit_layout\n", + "from qiskit.circuit.tools import pi_check\n", + "\n", + "from qiskit_aer import AerSimulator\n", + "from qiskit_aer.primitives import SamplerV2 as Aer_Sampler\n", + "\n", + "from qiskit_ibm_runtime import (\n", + " QiskitRuntimeService,\n", + " Batch,\n", + " SamplerV2 as Sampler,\n", + ")\n", + "from qiskit_ibm_runtime.visualization import (\n", + " draw_circuit_schedule_timing,\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "df65631b", + "metadata": {}, + "source": [ + "## Step 1: Map classical inputs to a quantum circuit" + ] + }, + { + "cell_type": "markdown", + "id": "188f83ae", + "metadata": {}, + "source": [ + "We start by defining the lattice to simulate. We choose to work with the honeycomb (also called hexagonal) lattice, which is a planar graph with nodes of degree 3. Here, we specify the size of the lattice, the relevant circuit parameters of interest in the Trotterized dynamics. We will simulate the Trotterized time evolution under the Ising model under three different $\\theta$ values of the local magnetic field." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "e8bc54ef", + "metadata": {}, + "outputs": [], + "source": [ + "hex_rows = 3 # specify lattice size\n", + "hex_cols = 5\n", + "depths = range(9) # specify Trotter steps\n", + "zz_angle = np.pi / 8 # parameter for ZZ interaction\n", + "max_angle = np.pi / 2 # max theta angle\n", + "points = 3 # number of theta parameters\n", + "\n", + "θ = Parameter(\"θ\")\n", + "params = np.linspace(0, max_angle, points)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "0b12f364", + "metadata": {}, + "outputs": [], + "source": [ + "def make_hex_lattice(hex_rows=1, hex_cols=1):\n", + " hex_cmap = CouplingMap.from_hexagonal_lattice(\n", + " hex_rows, hex_cols, bidirectional=False\n", + " )\n", + " data = list(hex_cmap.physical_qubits)\n", + " graph = hex_cmap.graph.to_undirected(multigraph=False)\n", + " edge_colors = rx.graph_misra_gries_edge_color(graph)\n", + " layer_edges = {color: [] for color in edge_colors.values()}\n", + " for edge_index, color in edge_colors.items():\n", + " layer_edges[color].append(graph.edge_list()[edge_index])\n", + " return data, layer_edges, hex_cmap, graph" + ] + }, + { + "cell_type": "markdown", + "id": "b2286ebb", + "metadata": {}, + "source": [ + "Let's start with a small test example:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "c011bc1a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "hex_rows_test = 1\n", + "hex_cols_test = 2\n", + "\n", + "data_test, layer_edges_test, hex_cmap_test, graph_test = make_hex_lattice(\n", + " hex_rows=hex_rows_test, hex_cols=hex_cols_test\n", + ")\n", + "\n", + "# display a small example for illustration\n", + "node_colors_test = [\"lightblue\"] * len(graph_test.node_indices())\n", + "pos = rx.graph_spring_layout(\n", + " graph_test,\n", + " k=5 / np.sqrt(len(graph_test.nodes())),\n", + " repulsive_exponent=1,\n", + " num_iter=150,\n", + ")\n", + "mpl_draw(graph_test, node_color=node_colors_test, pos=pos)" + ] + }, + { + "cell_type": "markdown", + "id": "8e5f862a", + "metadata": {}, + "source": [ + "We will use the small example for illustration and simulation. Below we also construct a large example to show the workflow can be extended to large sizes." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "ba481bd4", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "num_qubits = 46\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "data, layer_edges, hex_cmap, graph = make_hex_lattice(\n", + " hex_rows=hex_rows, hex_cols=hex_cols\n", + ")\n", + "num_qubits = len(data)\n", + "print(f\"num_qubits = {num_qubits}\")\n", + "\n", + "# display the honeycomb lattice to simulate\n", + "node_colors = [\"lightblue\"] * len(graph.node_indices())\n", + "pos = rx.graph_spring_layout(\n", + " graph,\n", + " k=5 / np.sqrt(num_qubits),\n", + " repulsive_exponent=1,\n", + " num_iter=150,\n", + ")\n", + "mpl_draw(graph, node_color=node_colors, pos=pos)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "695e2bad", + "metadata": {}, + "outputs": [], + "source": [ + "observables_unitary = SparsePauliOp.from_sparse_list(\n", + " [(\"Z\", [i], 1 / num_qubits) for i in range(num_qubits)],\n", + " num_qubits=num_qubits,\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "6eb03e83", + "metadata": {}, + "source": [ + "### 1.1 Build unitary circuits" + ] + }, + { + "cell_type": "markdown", + "id": "f4b421fa", + "metadata": {}, + "source": [ + "With the problem size and parameters specified, we are now ready to build the parametrized circuit that simulates the Trotterized time evolution of $U(\\theta)$ with different Trotter steps, specified by the `depth` argument. The circuit we construct has alternating layers of `Rx($\\theta$)` gates and `Rzz` gates. The `Rzz` gates realize the ZZ interactions between coupled spins, which will be placed between each lattice site specified by the `layer_edges` argument." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "9e2dc428", + "metadata": {}, + "outputs": [], + "source": [ + "def gen_hex_unitary(\n", + " num_qubits=6,\n", + " zz_angle=np.pi / 8,\n", + " layer_edges=[\n", + " [(0, 1), (2, 3), (4, 5)],\n", + " [(1, 2), (3, 4), (5, 0)],\n", + " ],\n", + " θ=Parameter(\"θ\"),\n", + " depth=1,\n", + " measure=False,\n", + " final_rot=True,\n", + "):\n", + " circuit = QuantumCircuit(num_qubits)\n", + " for _ in range(depth):\n", + " for i in range(num_qubits):\n", + " circuit.rx(θ, i)\n", + " circuit.barrier()\n", + " for coloring in layer_edges.keys():\n", + " for e in layer_edges[coloring]:\n", + " circuit.rzz(zz_angle, e[0], e[1])\n", + " circuit.barrier()\n", + " if final_rot:\n", + " for i in range(num_qubits):\n", + " circuit.rx(θ, i)\n", + " if measure:\n", + " circuit.measure_all()\n", + "\n", + " return circuit" + ] + }, + { + "cell_type": "markdown", + "id": "24235b4a", + "metadata": {}, + "source": [ + "Visualize the small test circuit:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "268e6999", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "circ_unitary_test = gen_hex_unitary(\n", + " num_qubits=len(data_test),\n", + " layer_edges=layer_edges_test,\n", + " θ=Parameter(\"θ\"),\n", + " depth=1,\n", + " measure=True,\n", + ")\n", + "circ_unitary_test.draw(output=\"mpl\", fold=-1)" + ] + }, + { + "cell_type": "markdown", + "id": "0a8abb0d", + "metadata": {}, + "source": [ + "Similarly, construct the unitary circuits of the large example at different trotter steps." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "6c9e388a", + "metadata": {}, + "outputs": [], + "source": [ + "circuits_unitary = []\n", + "for depth in depths:\n", + " circ = gen_hex_unitary(\n", + " num_qubits=num_qubits,\n", + " layer_edges=layer_edges,\n", + " θ=Parameter(\"θ\"),\n", + " depth=depth,\n", + " measure=True,\n", + " )\n", + " circuits_unitary.append(circ)" + ] + }, + { + "cell_type": "markdown", + "id": "84d2cd91", + "metadata": {}, + "source": [ + "### 1.2 Build dynamic circuit implementation\n", + "\n", + "This section shows the main dynamic circuit implementation to simulate the same Trotterized time evolution. Note that the honeycomb lattice we want to simulate does not match the heavy lattice of the hardware qubits. One straightforward way to map the circuit to the hardware is to introduce a series of SWAP operations to bring interacting qubits next to each other, to realize the ZZ interaction. Here we highlight an alternative approach using dynamic circuits as a solution to illustrate that we can use the combination of quantum and real-time classical computation within a circuit in Qiskit to realize interactions beyond nearest-neighbor.\n", + "\n", + "In the dynamic circuit implementation, the ZZ interaction is effectively implemented by using ancilla qubits, mid-circuit measurement, and feed-forward. To understand this, note that the ZZ rotations apply a phase factor $e^{i\\theta}$ to the state based on its parity. For two qubits, the computational basis states are $|00\\rangle$, $|01\\rangle$, $|10\\rangle$, and $|11\\rangle$. The ZZ rotation gate applies a phase factor to states $|01\\rangle$ and $|10\\rangle$ whose parity (the number of `1`s in the state) is odd and leaves even-parity states unchanged. The following describes how we can effectively implement ZZ interactions on two qubits using dynamic circuits.\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "1. Compute parity into an ancilla qubit: Instead of directly applying ZZ to two qubits, we introduce a third qubit, the ancilla qubit, to store the parity information of the two data qubits. We entangle the ancilla with each data qubit using CX gates from the data qubit to the ancilla qubit.\n", + "\n", + "\n", + "\n", + "2. Apply a single-qubit Z rotation to the ancilla qubit: This is because the ancilla has the parity information of the two data qubits, which effectively implements the ZZ rotation on the data qubits.\n", + "\n", + "\n", + "\n", + "3. Measure the ancilla qubit in the X basis: this is the key step that collapses the state of the ancilla qubit, and the measurement outcome tells us what has happened:\n", + "\n", + " * Measure 0: When a 0 outcome is observed, we have in fact correctly applied a ZZ(θ) rotation to our data qubits.\n", + "\n", + " * Measure 1: When a 1 outcome is observed, We've applied $ZZ(\\theta + \\pi)$ instead.\n", + "\n", + "\n", + "\n", + "4. Apply correction gate when measuring 1: If we measured 1, we apply Z gates to the data qubits to \"fix\" the extra $\\pi$ phase.\n", + "\n", + "\n", + "\n", + "The resulting circuit is the following:\n", + "\n", + "![dynamic implementation](data:image/png;base64,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)" + ] + }, + { + "cell_type": "markdown", + "id": "9872fed2", + "metadata": {}, + "source": [ + "When we adopt this approach to simulate a honeycomb lattice, the resulting circuit embeds perfectly into the hardware with a heavy-hex lattice: all data qubits reside on the degree-3 sites of the lattice, which forms a hexagonal lattice. Every pair of data qubits shares an ancilla qubit residing on a degree-2 site. Below, we construct the qubit lattice for the dynamic circuit implementation, introducing ancilla qubits (shown in the darker purple circles)." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "c0e7afd2", + "metadata": {}, + "outputs": [], + "source": [ + "def make_lattice(hex_rows=1, hex_cols=1):\n", + " # define lattice (change rows and cols to get larger lattices)\n", + " hex_cmap = CouplingMap.from_hexagonal_lattice(\n", + " hex_rows, hex_cols, bidirectional=False\n", + " )\n", + " data = list(hex_cmap.physical_qubits)\n", + "\n", + " heavyhex_cmap = CouplingMap()\n", + " for d in data:\n", + " heavyhex_cmap.add_physical_qubit(d)\n", + "\n", + " a = len(data)\n", + " for edge in hex_cmap.get_edges():\n", + " heavyhex_cmap.add_physical_qubit(a)\n", + " heavyhex_cmap.add_edge(edge[0], a)\n", + " heavyhex_cmap.add_edge(edge[1], a)\n", + " a += 1\n", + " ancilla = list(range(len(data), a))\n", + " qubits = data + ancilla\n", + "\n", + " # color edges\n", + " graph = heavyhex_cmap.graph.to_undirected(multigraph=False)\n", + " edge_colors = rx.graph_misra_gries_edge_color(graph)\n", + " layer_edges = {color: [] for color in edge_colors.values()}\n", + " for edge_index, color in edge_colors.items():\n", + " layer_edges[color].append(graph.edge_list()[edge_index])\n", + "\n", + " obs_hex = SparsePauliOp.from_sparse_list(\n", + " [(\"Z\", [i], 1 / len(data)) for i in data],\n", + " num_qubits=len(qubits),\n", + " )\n", + "\n", + " return (\n", + " data,\n", + " qubits,\n", + " ancilla,\n", + " layer_edges,\n", + " heavyhex_cmap,\n", + " graph,\n", + " obs_hex,\n", + " )" + ] + }, + { + "cell_type": "markdown", + "id": "5c39eeab", + "metadata": {}, + "source": [ + "Visualize the heavy-hex lattice for data qubits and ancilla qubits at a small scale:" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "id": "2d7224ef", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "number of data qubits = 46\n", + "number of ancilla qubits = 60\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "(\n", + " data,\n", + " qubits,\n", + " ancilla,\n", + " layer_edges,\n", + " heavyhex_cmap,\n", + " graph,\n", + " obs_hex,\n", + ") = make_lattice(hex_rows=hex_rows, hex_cols=hex_cols)\n", + "\n", + "print(f\"number of data qubits = {len(data)}\")\n", + "print(f\"number of ancilla qubits = {len(ancilla)}\")\n", + "node_colors = []\n", + "for node in graph.node_indices():\n", + " if node in ancilla:\n", + " node_colors.append(\"purple\")\n", + " else:\n", + " node_colors.append(\"lightblue\")\n", + "\n", + "pos = rx.graph_spring_layout(\n", + " graph,\n", + " k=1 / np.sqrt(len(qubits)),\n", + " repulsive_exponent=2,\n", + " num_iter=200,\n", + ")\n", + "\n", + "# Draw with custom node colors\n", + "mpl_draw(graph, node_color=node_colors, pos=pos)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "bf9177d2", + "metadata": {}, + "source": [ + "Below, we construct the dynamic circuit for the Trotterized time evolution. The `RZZ` gates are replaced with the dynamic circuit implementation using the steps described above." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "4c98664f", + "metadata": {}, + "outputs": [], + "source": [ + "def gen_hex_dynamic(\n", + " depth=1,\n", + " zz_angle=np.pi / 8,\n", + " θ=Parameter(\"θ\"),\n", + " hex_rows=1,\n", + " hex_cols=1,\n", + " measure=False,\n", + " add_dd=True,\n", + "):\n", + " (\n", + " data,\n", + " qubits,\n", + " ancilla,\n", + " layer_edges,\n", + " heavyhex_cmap,\n", + " graph,\n", + " obs_hex,\n", + " ) = make_lattice(hex_rows=hex_rows, hex_cols=hex_cols)\n", + " qr = QuantumRegister(len(qubits), \"qr\")\n", + " cr = ClassicalRegister(len(ancilla), \"cr\")\n", + " circuit = QuantumCircuit(qr, cr)\n", + " for d in data:\n", + " circuit.rx(θ, d)\n", + "\n", + " for k in range(depth):\n", + " circuit.barrier()\n", + " for same_color_edges in layer_edges.values():\n", + " for e in same_color_edges:\n", + " circuit.cx(e[0], e[1])\n", + " circuit.barrier()\n", + " for a in ancilla:\n", + " circuit.rz(zz_angle, a)\n", + " circuit.h(a)\n", + " #####need this to align terminal measurement\n", + " circuit.barrier()\n", + "\n", + " for i, a in enumerate(ancilla):\n", + " circuit.measure(a, i)\n", + " d2ros = {}\n", + " a2ro = {}\n", + " for a in ancilla:\n", + " a2ro[a] = cr[ancilla.index(a)]\n", + " for d in data:\n", + " ros = [a2ro[a] for a in heavyhex_cmap.neighbors(d)]\n", + " d2ros[d] = ros\n", + " for d in data:\n", + " if add_dd:\n", + " circuit = add_stretch_dd(circuit, d, f\"data_{d}_depth_{k}\")\n", + " ros = d2ros[d]\n", + " parity = ros[0]\n", + " for ro in ros[1:]:\n", + " parity = expr.bit_xor(parity, ro)\n", + " with circuit.if_test(expr.equal(parity, True)):\n", + " circuit.z(d)\n", + " for a in ancilla:\n", + " with circuit.if_test(expr.equal(a2ro[a], True)):\n", + " circuit.x(a)\n", + " circuit.barrier()\n", + " for d in data:\n", + " circuit.rx(θ, d)\n", + " if measure:\n", + " circuit.measure_all()\n", + "\n", + " return circuit, obs_hex\n", + "\n", + "\n", + "def add_stretch_dd(qc, q, name):\n", + " s = qc.add_stretch(name)\n", + " qc.delay(s, q)\n", + " qc.x(q)\n", + " qc.delay(s, q)\n", + " qc.delay(s, q)\n", + " qc.rz(np.pi, q)\n", + " qc.x(q)\n", + " qc.rz(-np.pi, q)\n", + " qc.delay(s, q)\n", + " return qc" + ] + }, + { + "cell_type": "markdown", + "id": "c8b3b632", + "metadata": {}, + "source": [ + "#### 1.2.1 Dynamical decoupling (DD) and support for `stretch` duration" + ] + }, + { + "cell_type": "markdown", + "id": "1f08bda1", + "metadata": {}, + "source": [ + "One caveat of using the dynamic circuit implementation to realize the ZZ interaction is that the mid-circuit measurement and the classical feed-forward operations typically take a longer time to execute than quantum gates. To suppress qubit decoherence during the idling time for the classical operations to happen, we added a [dynamical decoupling](https://quantum.cloud.ibm.com/docs/en/guides/error-mitigation-and-suppression-techniques#dynamical-decoupling) (DD) sequence after the measurement operation on the ancilla qubits, and before the conditional Z operation on the data qubit, before the `if_test` statement.\n", + "\n", + "The DD sequence is added by the function `add_stretch_dd()`, which uses the [`stretch` durations](https://quantum.cloud.ibm.com/docs/guides/stretch) to determine the time intervals between the DD gates. A `stretch` duration is a way to specify a stretchable time duration for the `delay` operation such that the delay duration can grow to fill up the qubit idling time. The duration variables specified by `stretch` are resolved at compile time into desired durations that satisfy a certain constraint. This is very useful when the timing of DD sequences is essential to achieve good error suppression performance. For more details on the `stretch` type, please see the [OpenQASM](https://openqasm.com/language/delays.html#duration-and-stretch-types) documentation. Currently, support for the `stretch` type in Qiskit Runtime is experimental. For details on its usage constraints, please refer to [this page](https://quantum.cloud.ibm.com/docs/en/guides/stretch#qiskit-runtime-limitations).\n", + "\n", + "Using the functions defined above, we build the Trotterized time evolution circuits, with and without DD, and the corresponding observables." + ] + }, + { + "cell_type": "markdown", + "id": "997419c8", + "metadata": {}, + "source": [ + "We start by visualizing the dynamic circuit of a small example:" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "b6e2e76c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "hex_rows_test = 1\n", + "hex_cols_test = 1\n", + "\n", + "(\n", + " data_test,\n", + " qubits_test,\n", + " ancilla_test,\n", + " layer_edges_test,\n", + " heavyhex_cmap_test,\n", + " graph_test,\n", + " obs_hex_test,\n", + ") = make_lattice(hex_rows=hex_rows_test, hex_cols=hex_cols_test)\n", + "\n", + "node_colors = []\n", + "for node in graph_test.node_indices():\n", + " if node in ancilla_test:\n", + " node_colors.append(\"purple\")\n", + " else:\n", + " node_colors.append(\"lightblue\")\n", + "pos = rx.graph_spring_layout(\n", + " graph_test,\n", + " k=5 / np.sqrt(len(qubits_test)),\n", + " repulsive_exponent=2,\n", + " num_iter=150,\n", + ")\n", + "\n", + "# display a small example for illustration\n", + "node_colors_test = [\"lightblue\"] * len(graph_test.node_indices())\n", + "mpl_draw(graph_test, node_color=node_colors, pos=pos)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "735e590a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "circuit_dynamic_test, obs_dynamic_test = gen_hex_dynamic(\n", + " depth=1,\n", + " θ=Parameter(\"θ\"),\n", + " hex_rows=hex_rows_test,\n", + " hex_cols=hex_cols_test,\n", + " measure=False,\n", + " add_dd=False,\n", + ")\n", + "circuit_dynamic_test.draw(\"mpl\", fold=-1)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "5de9381a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "circuit_dynamic_dd_test, _ = gen_hex_dynamic(\n", + " depth=1,\n", + " θ=Parameter(\"θ\"),\n", + " hex_rows=hex_rows_test,\n", + " hex_cols=hex_cols_test,\n", + " measure=False,\n", + " add_dd=True,\n", + ")\n", + "circuit_dynamic_dd_test.draw(\"mpl\", fold=-1)" + ] + }, + { + "cell_type": "markdown", + "id": "956dd43e", + "metadata": {}, + "source": [ + "Similarly, construct the dynamic circuits for the large example:" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "id": "bd7b2be0", + "metadata": {}, + "outputs": [], + "source": [ + "circuits_dynamic = []\n", + "circuits_dynamic_dd = []\n", + "observables_dynamic = []\n", + "for depth in depths:\n", + " circuit, obs = gen_hex_dynamic(\n", + " depth=depth,\n", + " θ=Parameter(\"θ\"),\n", + " hex_rows=hex_rows,\n", + " hex_cols=hex_cols,\n", + " measure=True,\n", + " add_dd=False,\n", + " )\n", + " circuits_dynamic.append(circuit)\n", + "\n", + " circuit_dd, _ = gen_hex_dynamic(\n", + " depth=depth,\n", + " θ=Parameter(\"θ\"),\n", + " hex_rows=hex_rows,\n", + " hex_cols=hex_cols,\n", + " measure=True,\n", + " add_dd=True,\n", + " )\n", + " circuits_dynamic_dd.append(circuit_dd)\n", + " observables_dynamic.append(obs)" + ] + }, + { + "cell_type": "markdown", + "id": "0f0fdf70", + "metadata": {}, + "source": [ + "## Step 2: Optimize problem for hardware execution" + ] + }, + { + "cell_type": "markdown", + "id": "86642d2b", + "metadata": {}, + "source": [ + "We are now ready to transpile the circuit to the hardware. We will transpile both the unitary standard implementation and the dynamic circuit implementation to the hardware.\n", + "\n", + "To transpile to the hardware, we first instantiate the backend." + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "id": "08e22a4a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "service = QiskitRuntimeService()\n", + "backend = service.least_busy(\n", + " operational=True, simulator=False, use_fractional_gates=True\n", + ")\n", + "backend" + ] + }, + { + "cell_type": "markdown", + "id": "610622b4", + "metadata": {}, + "source": [ + "### 2.1 Transpilation for dynamic circuits\n", + "First, we transpile the dynamic circuits, with and without adding the DD sequence. To ensure we use the same set of physical qubits in all circuits for more consistent results, we first transpile the circuit once, and then use its layout for all subsequent circuits, specified by `initial_layout` in the pass manager. We then construct the [primitive unified blocs](https://quantum.cloud.ibm.com/docs/guides/primitive-input-output) (PUBs) as the Sampler primitive input." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "aa653907", + "metadata": {}, + "outputs": [], + "source": [ + "pm_temp = generate_preset_pass_manager(\n", + " optimization_level=3,\n", + " backend=backend,\n", + ")\n", + "isa_temp = pm_temp.run(circuits_dynamic[-1])\n", + "dynamic_layout = isa_temp.layout.initial_index_layout(filter_ancillas=True)\n", + "\n", + "pm = generate_preset_pass_manager(\n", + " optimization_level=3, backend=backend, initial_layout=dynamic_layout\n", + ")\n", + "\n", + "dynamic_isa_circuits = [pm.run(circ) for circ in circuits_dynamic]\n", + "dynamic_pubs = [(circ, params) for circ in dynamic_isa_circuits]\n", + "\n", + "dynamic_isa_circuits_dd = [pm.run(circ) for circ in circuits_dynamic_dd]\n", + "dynamic_pubs_dd = [(circ, params) for circ in dynamic_isa_circuits_dd]" + ] + }, + { + "cell_type": "markdown", + "id": "6979ad68", + "metadata": {}, + "source": [ + "We can visualize the qubit layout of the transpiled circuit below. The black circles show the qubits used as the data qubits and the ancilla qubits in the dynamic circuit implementation." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "65b2df70", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def _heron_coords_r2():\n", + " cord_map = np.array(\n", + " [\n", + " [\n", + " 0,\n", + " 1,\n", + " 2,\n", + " 3,\n", + " 4,\n", + " 5,\n", + " 6,\n", + " 7,\n", + " 8,\n", + " 9,\n", + " 10,\n", + " 11,\n", + " 12,\n", + " 13,\n", + " 14,\n", + " 15,\n", + " 3,\n", + " 7,\n", + " 11,\n", + " 15,\n", + " 0,\n", + " 1,\n", + " 2,\n", + " 3,\n", + " 4,\n", + " 5,\n", + " 6,\n", + " 7,\n", + " 8,\n", + " 9,\n", + " 10,\n", + " 11,\n", + " 12,\n", + " 13,\n", + " 14,\n", + " 15,\n", + " 1,\n", + " 5,\n", + " 9,\n", + " 13,\n", + " 0,\n", + " 1,\n", + " 2,\n", + " 3,\n", + " 4,\n", + " 5,\n", + " 6,\n", + " 7,\n", + " 8,\n", + " 9,\n", + " 10,\n", + " 11,\n", + " 12,\n", + " 13,\n", + " 14,\n", + " 15,\n", + " 3,\n", + " 7,\n", + " 11,\n", + " 15,\n", + " 0,\n", + " 1,\n", + " 2,\n", + " 3,\n", + " 4,\n", + " 5,\n", + " 6,\n", + " 7,\n", + " 8,\n", + " 9,\n", + " 10,\n", + " 11,\n", + " 12,\n", + " 13,\n", + " 14,\n", + " 15,\n", + " 1,\n", + " 5,\n", + " 9,\n", + " 13,\n", + " 0,\n", + " 1,\n", + " 2,\n", + " 3,\n", + " 4,\n", + " 5,\n", + " 6,\n", + " 7,\n", + " 8,\n", + " 9,\n", + " 10,\n", + " 11,\n", + " 12,\n", + " 13,\n", + " 14,\n", + " 15,\n", + " 3,\n", + " 7,\n", + " 11,\n", + " 15,\n", + " 0,\n", + " 1,\n", + " 2,\n", + " 3,\n", + " 4,\n", + " 5,\n", + " 6,\n", + " 7,\n", + " 8,\n", + " 9,\n", + " 10,\n", + " 11,\n", + " 12,\n", + " 13,\n", + " 14,\n", + " 15,\n", + " 1,\n", + " 5,\n", + " 9,\n", + " 13,\n", + " 0,\n", + " 1,\n", + " 2,\n", + " 3,\n", + " 4,\n", + " 5,\n", + " 6,\n", + " 7,\n", + " 8,\n", + " 9,\n", + " 10,\n", + " 11,\n", + " 12,\n", + " 13,\n", + " 14,\n", + " 15,\n", + " 3,\n", + " 7,\n", + " 11,\n", + " 15,\n", + " 0,\n", + " 1,\n", + " 2,\n", + " 3,\n", + " 4,\n", + " 5,\n", + " 6,\n", + " 7,\n", + " 8,\n", + " 9,\n", + " 10,\n", + " 11,\n", + " 12,\n", + " 13,\n", + " 14,\n", + " 15,\n", + " ],\n", + " -1\n", + " * np.array([j for i in range(15) for j in [i] * [16, 4][i % 2]]),\n", + " ],\n", + " dtype=int,\n", + " )\n", + "\n", + " hcords = []\n", + " ycords = cord_map[0]\n", + " xcords = cord_map[1]\n", + " for i in range(156):\n", + " hcords.append([xcords[i] + 1, np.abs(ycords[i]) + 1])\n", + "\n", + " return hcords\n", + "\n", + "\n", + "plot_circuit_layout(\n", + " dynamic_isa_circuits_dd[8],\n", + " backend,\n", + " qubit_coordinates=_heron_coords_r2(),\n", + " view=\"virtual\",\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "82fb6fa8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dynamic_isa_circuits_dd[1].draw(fold=-1, output=\"mpl\", idle_wires=False)" + ] + }, + { + "cell_type": "markdown", + "id": "47d43b9e", + "metadata": {}, + "source": [ + "#### 2.2.1 Transpile using `MidCircuitMeasure`\n", + "\n", + "The `MidCircuitMeasure` is an addition to the available measurement operations, calibrated specifically to perform [mid-circuit measurements](https://quantum.cloud.ibm.com/docs/en/guides/measure-qubits#mid-circuit-measurements). The `MidCircuitMeasure` instruction maps to the `measure_2` instruction supported by the backends. Note that `measure_2` is not supported on all backends. You can use `service.backends(filters=lambda b: \"measure_2\" in b.supported_instructions)` to find backends that support it. Here, we show how to transpile the circuit so that the mid-circuit measurements defined in the circuit are executed using the `MidCircuitMeasure` operation, if the backend supports it.\n", + "\n", + "Below, we print the duration for the `measure_2` instruction and the standard `measure` instruction." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "de870864", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mid-circuit measurement `measure_2` duration: 1.624 μs\n", + "Terminal measurement `measure` duration: 2.2 μs\n" + ] + } + ], + "source": [ + "print(\n", + " f'Mid-circuit measurement `measure_2` duration: {backend.instruction_durations.get('measure_2',0) * backend.dt * 1e9/1e3} μs'\n", + ")\n", + "print(\n", + " f'Terminal measurement `measure` duration: {backend.instruction_durations.get('measure',0) * backend.dt *1e9/1e3} μs'\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "a1bdc9e7", + "metadata": {}, + "outputs": [], + "source": [ + "\"\"\"Pass that replaces terminal measures in the middle of the circuit with\n", + "MidCircuitMeasure instructions.\"\"\"\n", + "\n", + "\n", + "class ConvertToMidCircuitMeasure(TransformationPass):\n", + " \"\"\"This pass replaces terminal measures in the middle of the circuit with\n", + " MidCircuitMeasure instructions.\n", + " \"\"\"\n", + "\n", + " def __init__(self, target):\n", + " super().__init__()\n", + " self.target = target\n", + "\n", + " def run(self, dag):\n", + " \"\"\"Run the pass on a dag.\"\"\"\n", + " mid_circ_measure = None\n", + " for inst in self.target.instructions:\n", + " if isinstance(inst[0], Instruction) and inst[0].name.startswith(\n", + " \"measure_\"\n", + " ):\n", + " mid_circ_measure = inst[0]\n", + " break\n", + " if not mid_circ_measure:\n", + " return dag\n", + "\n", + " final_measure_nodes = calc_final_ops(dag, {\"measure\"})\n", + " for node in dag.op_nodes(Measure):\n", + " if node not in final_measure_nodes:\n", + " dag.substitute_node(node, mid_circ_measure, inplace=True)\n", + "\n", + " return dag\n", + "\n", + "\n", + "pm = PassManager(ConvertToMidCircuitMeasure(backend.target))\n", + "\n", + "dynamic_isa_circuits_meas2 = [pm.run(circ) for circ in dynamic_isa_circuits]\n", + "dynamic_pubs_meas2 = [(circ, params) for circ in dynamic_isa_circuits_meas2]\n", + "\n", + "dynamic_isa_circuits_dd_meas2 = [\n", + " pm.run(circ) for circ in dynamic_isa_circuits_dd\n", + "]\n", + "dynamic_pubs_dd_meas2 = [\n", + " (circ, params) for circ in dynamic_isa_circuits_dd_meas2\n", + "]" + ] + }, + { + "cell_type": "markdown", + "id": "a1e982ee", + "metadata": {}, + "source": [ + "### 2.2 Transpilation for unitary circuits\n", + "\n", + "To establish a fair comparison between the dynamic circuits and their unitary counterpart, we use the same set of physical qubits used in the dynamic circuits for the data qubits as the layout for transpiling the unitary circuits." + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "87962c09", + "metadata": {}, + "outputs": [], + "source": [ + "init_layout = [\n", + " dynamic_layout[ind] for ind in range(circuits_unitary[0].num_qubits)\n", + "]\n", + "\n", + "\n", + "pm = generate_preset_pass_manager(\n", + " target=backend.target,\n", + " initial_layout=init_layout,\n", + " optimization_level=3,\n", + ")\n", + "\n", + "\n", + "def transpile_minimize(circ: QuantumCircuit, pm: PassManager, iterations=10):\n", + " \"\"\"Transpile circuits for specified number of iterations and return the one with smallest two-qubit gate depth\"\"\"\n", + " circs = [pm.run(circ) for i in range(iterations)]\n", + " circs_sorted = sorted(\n", + " circs,\n", + " key=lambda x: x.depth(lambda x: x.operation.num_qubits == 2),\n", + " )\n", + " return circs_sorted[0]\n", + "\n", + "\n", + "unitary_isa_circuits = []\n", + "for circ in circuits_unitary:\n", + " circ_t = transpile_minimize(circ, pm, iterations=100)\n", + " unitary_isa_circuits.append(circ_t)\n", + "\n", + "unitary_pubs = [(circ, params) for circ in unitary_isa_circuits]" + ] + }, + { + "cell_type": "markdown", + "id": "e7da0161", + "metadata": {}, + "source": [ + "We visualize the qubit layout of the transpiled unitary circuits to confirm that the unitary circuits have used the same set of physical qubits as the data qubits in the dynamic circuit implementation." + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "8c3c633f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "plot_circuit_layout(\n", + " unitary_isa_circuits[-1],\n", + " backend,\n", + " qubit_coordinates=_heron_coords_r2(),\n", + " view=\"virtual\",\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "2fd70904", + "metadata": {}, + "source": [ + "We now add the DD sequence to the transpiled circuits and construct the corresponding pubs for job submission." + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "383ba663", + "metadata": {}, + "outputs": [], + "source": [ + "pm_dd = PassManager(\n", + " [\n", + " ALAPScheduleAnalysis(target=backend.target),\n", + " PadDynamicalDecoupling(\n", + " dd_sequence=[\n", + " XGate(),\n", + " RZGate(np.pi),\n", + " XGate(),\n", + " RZGate(-np.pi),\n", + " ],\n", + " spacing=[1 / 4, 1 / 2, 0, 0, 1 / 4],\n", + " target=backend.target,\n", + " ),\n", + " ]\n", + ")\n", + "\n", + "unitary_isa_circuits_dd = pm_dd.run(unitary_isa_circuits)\n", + "unitary_pubs_dd = [(circ, params) for circ in unitary_isa_circuits_dd]" + ] + }, + { + "cell_type": "markdown", + "id": "c4980277", + "metadata": {}, + "source": [ + "### 2.3 Compare two-qubit gate depth of unitary and dynamic circuits" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "36f1d72d", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# compare circuit depth of unitary and dynamic circuit implementations\n", + "unitary_depth = [\n", + " unitary_isa_circuits[i].depth(lambda x: x.operation.num_qubits == 2)\n", + " for i in range(len(unitary_isa_circuits))\n", + "]\n", + "\n", + "dynamic_depth = [\n", + " dynamic_isa_circuits[i].depth(lambda x: x.operation.num_qubits == 2)\n", + " for i in range(len(dynamic_isa_circuits))\n", + "]\n", + "\n", + "plt.plot(\n", + " list(range(len(unitary_depth))),\n", + " unitary_depth,\n", + " label=\"unitary circuits\",\n", + " color=\"#be95ff\",\n", + ")\n", + "plt.plot(\n", + " list(range(len(dynamic_depth))),\n", + " dynamic_depth,\n", + " label=\"dynamic circuits\",\n", + " color=\"#ff7eb6\",\n", + ")\n", + "plt.xlabel(\"Trotter steps\")\n", + "plt.ylabel(\"Two-qubit depth\")\n", + "plt.legend()" + ] + }, + { + "cell_type": "markdown", + "id": "c566243b", + "metadata": {}, + "source": [ + "The main benefit of the measurement-based circuit is that, when implementing multiple ZZ interactions, the CX layers can be parallelized, and measurements can occur simultaneously. This is because all ZZ interactions commute, so the computation can be performed with measurement depth 1. After transpiling the circuits, we observe that the dynamic circuit approach yields a shorter two-qubit depth than the standard unitary approach." + ] + }, + { + "cell_type": "markdown", + "id": "206a7278", + "metadata": {}, + "source": [ + "## Step 3: Execute using Qiskit Primitives" + ] + }, + { + "cell_type": "markdown", + "id": "53a3e876", + "metadata": {}, + "source": [ + "#### Local testing mode\n", + "\n", + "Before submitting the jobs to the hardware, as a sanity check, we can run a small test simulation of the dynamic circuit using the [local testing mode](https://quantum.cloud.ibm.com/docs/en/guides/local-testing-mode)." + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "id": "cdfd9576", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Simulated average magnetization at trotter step = 1 at three theta values\n" + ] + }, + { + "data": { + "text/plain": [ + "array([ 0.16666667, 0.01855469, -0.13476562])" + ] + }, + "execution_count": 69, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "aer_sim = AerSimulator()\n", + "pm = generate_preset_pass_manager(backend=aer_sim, optimization_level=1)\n", + "circuit_dynamic_test.measure_all()\n", + "isa_qc = pm.run(circuit_dynamic_test)\n", + "with Batch(backend=aer_sim) as batch:\n", + " sampler = Sampler(mode=batch)\n", + " result = sampler.run([(isa_qc, params)]).result()\n", + "\n", + "print(\n", + " \"Simulated average magnetization at trotter step = 1 at three theta values\"\n", + ")\n", + "result[0].data[\"meas\"].expectation_values(obs_dynamic_test[0])" + ] + }, + { + "cell_type": "markdown", + "id": "59a3a8a0", + "metadata": {}, + "source": [ + "#### MPS simulation\n", + "\n", + "For large circuits, we can use the `matrix_product_state` (MPS) simulator which provides an approximate result to the expectation value according to the chosen bond dimension. We later use the MPS simulation results as the baseline to compare the results from the hardware." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "6fab4462", + "metadata": {}, + "outputs": [], + "source": [ + "# The MPS simulation below took approximately 7 minutes to run on a laptop with Apple M1 chip\n", + "\n", + "mps_backend = AerSimulator(\n", + " method=\"matrix_product_state\",\n", + " matrix_product_state_truncation_threshold=1e-5,\n", + " matrix_product_state_max_bond_dimension=100,\n", + ")\n", + "mps_sampler = Aer_Sampler.from_backend(mps_backend)\n", + "\n", + "shots = 4096\n", + "\n", + "data_sim = []\n", + "for j in range(points):\n", + " circ_list = [\n", + " circ.assign_parameters([params[j]]) for circ in circuits_unitary\n", + " ]\n", + "\n", + " mps_job = mps_sampler.run(circ_list, shots=shots)\n", + " result = mps_job.result()\n", + "\n", + " point_data = [\n", + " result[d].data[\"meas\"].expectation_values(observables_unitary)\n", + " for d in depths\n", + " ]\n", + "\n", + " data_sim.append(point_data) # data at one theta value\n", + "\n", + "data_sim = np.array(data_sim)" + ] + }, + { + "cell_type": "markdown", + "id": "ebd28d97", + "metadata": {}, + "source": [ + "With the circuits and observables prepared, we now execute them on hardware using the Sampler primitive.\n", + "\n", + "Here we submit three jobs for `unitary_pubs`, `dynamic_pubs`, and `dynamic_pubs_dd`. Each is a list of parametrized circuits corresponding to nine different Trotter steps with three different $\\theta$ parameters." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "76b5e07e", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "unitary: d5dtt0ldq8ts73fvbhj0\n", + "unitary: d5dtt11smlfc739onuag\n", + "dynamic: d5dtt1hsmlfc739onuc0\n", + "dynamic_dd: d5dtt25jngic73avdne0\n", + "dynamic_meas2: d5dtt2ldq8ts73fvbhm0\n", + "dynamic_dd_meas2: d5dtt2tjngic73avdnf0\n" + ] + } + ], + "source": [ + "shots = 10000\n", + "\n", + "with Batch(backend=backend) as batch:\n", + " sampler = Sampler(mode=batch)\n", + "\n", + " sampler.options.experimental = {\n", + " \"execution\": {\n", + " \"scheduler_timing\": True\n", + " }, # set to True to retrieve circuit timing info\n", + " }\n", + "\n", + " job_unitary = sampler.run(unitary_pubs, shots=shots)\n", + " print(f\"unitary: {job_unitary.job_id()}\")\n", + "\n", + " job_unitary_dd = sampler.run(unitary_pubs_dd, shots=shots)\n", + " print(f\"unitary_dd: {job_unitary_dd.job_id()}\")\n", + "\n", + " job_dynamic = sampler.run(dynamic_pubs, shots=shots)\n", + " print(f\"dynamic: {job_dynamic.job_id()}\")\n", + "\n", + " job_dynamic_dd = sampler.run(dynamic_pubs_dd, shots=shots)\n", + " print(f\"dynamic_dd: {job_dynamic_dd.job_id()}\")\n", + "\n", + " job_dynamic_meas2 = sampler.run(dynamic_pubs_meas2, shots=shots)\n", + " print(f\"dynamic_meas2: {job_dynamic_meas2.job_id()}\")\n", + "\n", + " job_dynamic_dd_meas2 = sampler.run(dynamic_pubs_dd_meas2, shots=shots)\n", + " print(f\"dynamic_dd_meas2: {job_dynamic_dd_meas2.job_id()}\")" + ] + }, + { + "cell_type": "markdown", + "id": "273fa3a0", + "metadata": {}, + "source": [ + "## Step 4: Post-process and return results in desired classical format\n", + "\n", + "After the jobs are completed, we can retrieve the circuit duration from the job results metadata and visualize the circuit schedule information. To read more about visualizing a circuit's scheduling information, refer to [this page](https://quantum.cloud.ibm.com/docs/en/guides/visualize-circuit-timing#qiskit-runtime-support)." + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "id": "bc16418f", + "metadata": {}, + "outputs": [], + "source": [ + "# Circuit durations is reported in the unit of `dt` which can be retrieved from `Backend` object\n", + "unitary_durations = [\n", + " job_unitary.result()[i].metadata[\"compilation\"][\"scheduler_timing\"][\n", + " \"circuit_duration\"\n", + " ]\n", + " for i in depths\n", + "]\n", + "\n", + "dynamic_durations = [\n", + " job_dynamic.result()[i].metadata[\"compilation\"][\"scheduler_timing\"][\n", + " \"circuit_duration\"\n", + " ]\n", + " for i in depths\n", + "]\n", + "\n", + "dynamic_durations_meas2 = [\n", + " job_dynamic_meas2.result()[i].metadata[\"compilation\"][\"scheduler_timing\"][\n", + " \"circuit_duration\"\n", + " ]\n", + " for i in depths\n", + "]\n", + "\n", + "result_dd = job_dynamic_dd.result()[1]\n", + "circuit_schedule_dd = result_dd.metadata[\"compilation\"][\"scheduler_timing\"][\n", + " \"timing\"\n", + "]\n", + "\n", + "# to visualize the circuit schedule, one can show the figure below\n", + "fig_dd = draw_circuit_schedule_timing(\n", + " circuit_schedule=circuit_schedule_dd,\n", + " included_channels=None,\n", + " filter_readout_channels=False,\n", + " filter_barriers=False,\n", + " width=1000,\n", + ")\n", + "\n", + "# Save to a file since the figure is large\n", + "fig_dd.write_html(\"scheduler_timing_dd.html\")" + ] + }, + { + "cell_type": "markdown", + "id": "bee08b77", + "metadata": {}, + "source": [ + "We plot the circuit durations for unitary circuits and the dynamic circuits. From the plot below, we can see that, despite the time needed for mid-circuit measurements and classical operations, dynamic circuit implementation with `measure_2` results in comparable circuit durations as the unitary implementation." + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "id": "639221e6", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 61, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# visualize circuit durations\n", + "\n", + "\n", + "def convert_dt_to_microseconds(circ_duration: List, backend_dt: float):\n", + " dt = backend_dt * 1e6 # dt in microseconds\n", + " return list(map(lambda x: x * dt, circ_duration))\n", + "\n", + "\n", + "dt = backend.target.dt\n", + "plt.plot(\n", + " depths,\n", + " convert_dt_to_microseconds(unitary_durations, dt),\n", + " color=\"#be95ff\",\n", + " linestyle=\":\",\n", + " label=\"unitary\",\n", + ")\n", + "plt.plot(\n", + " depths,\n", + " convert_dt_to_microseconds(dynamic_durations, dt),\n", + " color=\"#ff7eb6\",\n", + " linestyle=\"-.\",\n", + " label=\"dynamic\",\n", + ")\n", + "plt.plot(\n", + " depths,\n", + " convert_dt_to_microseconds(dynamic_durations_meas2, dt),\n", + " color=\"#ff7eb6\",\n", + " linestyle=\"-.\",\n", + " marker=\"s\",\n", + " mfc=\"none\",\n", + " label=\"dynamic w/ meas2\",\n", + ")\n", + "\n", + "plt.xlabel(\"Trotter steps\")\n", + "plt.ylabel(r\"Circuit durations in $\\mu$s\")\n", + "plt.legend()" + ] + }, + { + "cell_type": "markdown", + "id": "3c2bd06f", + "metadata": {}, + "source": [ + "After the jobs are completed, we retrieve the data below and compute the average magnetization estimated by the observables `observables_unitary` or `observables_dynamic` we constructed earlier." + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "id": "f4947049", + "metadata": {}, + "outputs": [], + "source": [ + "runs = {\n", + " \"unitary\": (\n", + " job_unitary,\n", + " [observables_unitary] * len(circuits_unitary),\n", + " ),\n", + " \"unitary_dd\": (\n", + " job_unitary_dd,\n", + " [observables_unitary] * len(circuits_unitary),\n", + " ),\n", + " # Omitting Dyn w/o DD and Dynamic w/ DD plots for better readability\n", + " # \"dynamic\": (job_dynamic, observables_dynamic),\n", + " # \"dynamic_dd\": (job_dynamic_dd, observables_dynamic),\n", + " \"dynamic_meas2\": (job_dynamic_meas2, observables_dynamic),\n", + " \"dynamic_dd_meas2\": (\n", + " job_dynamic_dd_meas2,\n", + " observables_dynamic,\n", + " ),\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "id": "583d417e", + "metadata": {}, + "outputs": [], + "source": [ + "data_dict = {}\n", + "for key, (job, obs) in runs.items():\n", + " data = []\n", + " for i in range(points):\n", + " data.append(\n", + " [\n", + " job.result()[ind].data[\"meas\"].expectation_values(obs[ind])[i]\n", + " for ind in depths\n", + " ]\n", + " )\n", + " data_dict[key] = data" + ] + }, + { + "cell_type": "markdown", + "id": "507073d9", + "metadata": {}, + "source": [ + "Below we plot the spin magnetization as a function of the Trotter steps at different $\\theta$ values, corresponding to different strengths of the local magnetic field. We plot both the pre-computed MPS simulation results for the unitary ideal circuits, together with the experimental results from the following:\n", + "\n", + "1. running the unitary circuits with DD\n", + "2. running the dynamic circuits with `MidCircuitMeasure`\n", + "3. running the dynamic circuits with DD and `MidCircuitMeasure`" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "id": "662239cf", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "\n", + "colors = [\"#0f62fe\", \"#be95ff\", \"#ff7eb6\"]\n", + "for i in range(points):\n", + " plt.plot(\n", + " depths,\n", + " data_sim[i],\n", + " color=colors[i],\n", + " linestyle=\"solid\",\n", + " label=f\"θ={pi_check(i*max_angle/(points-1))} (MPS)\",\n", + " )\n", + " # plt.plot(\n", + " # depths,\n", + " # data_dict[\"unitary\"][i],\n", + " # color=colors[i],\n", + " # linestyle=\":\",\n", + " # label=f\"θ={pi_check(i*max_angle/(points-1))} (Unitary)\",\n", + " # )\n", + "\n", + " plt.plot(\n", + " depths,\n", + " data_dict[\"unitary_dd\"][i],\n", + " color=colors[i],\n", + " marker='o',\n", + " mfc=\"none\",\n", + " linestyle=':',\n", + " label=f\"θ={pi_check(i*max_angle/(points-1))} (Unitary w/DD)\",\n", + " )\n", + "\n", + " # Omitting Dyn w/o DD and Dynamic w/ DD plots for better readability\n", + " # plt.plot(\n", + " # depths,\n", + " # data_dict[\"dynamic\"][i],\n", + " # color=colors[i],\n", + " # linestyle=\"-.\",\n", + " # label=f\"θ={pi_check(i*max_angle/(points-1))} (Dyn w/o DD)\",\n", + " # )\n", + " # plt.plot(\n", + " # depths,\n", + " # data_dict[\"dynamic_dd\"][i],\n", + " # marker=\"D\",\n", + " # mfc=\"none\",\n", + " # color=colors[i],\n", + " # linestyle=\"-.\",\n", + " # label=f\"θ={pi_check(i*max_angle/(points-1))} (Dynamic w/ DD)\",\n", + " # )\n", + "\n", + " # plt.plot(\n", + " # depths,\n", + " # data_dict[\"dynamic_meas2\"][i],\n", + " # color=colors[i],\n", + " # marker=\"s\",\n", + " # mfc=\"none\",\n", + " # linestyle=':',\n", + " # label=f\"θ={pi_check(i*max_angle/(points-1))} (Dynamic w/ MidCircuitMeas)\",\n", + " # )\n", + "\n", + " plt.plot(\n", + " depths,\n", + " data_dict[\"dynamic_dd_meas2\"][i],\n", + " color=colors[i],\n", + " marker=\"*\",\n", + " markersize=8,\n", + " linestyle=':',\n", + " label=f\"θ={pi_check(i*max_angle/(points-1))} (Dynamic w/ DD & MidCircuitMeas)\",\n", + " )\n", + "\n", + "\n", + "plt.xlabel(\"Trotter steps\", fontsize=16)\n", + "plt.ylabel(\"Average magnetization\", fontsize=16)\n", + "plt.xticks(rotation=45)\n", + "handles, labels = plt.gca().get_legend_handles_labels()\n", + "plt.legend(\n", + " handles,\n", + " labels,\n", + " loc=\"upper right\",\n", + " bbox_to_anchor=(1.46, 1.0),\n", + " shadow=True,\n", + " ncol=1,\n", + ")\n", + "plt.title(\n", + " f\"{hex_rows}x{hex_cols} hex ring, {num_qubits} data qubits, {len(ancilla)} ancilla qubits \\n{backend.name}: Sampler\"\n", + ")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "aead1034", + "metadata": {}, + "source": [ + "When we compare the experimental results with the simulation, we see that the dynamic circuit implementation (dashed-dotted line) overall has better performance than the standard unitary implementation (dotted line). Adding dynamical decoupling sequences helps in certain cases—for example, for $\\theta=\\pi/4$ or $\\theta=\\pi/2$ at certain Trotter steps. However, it does not help in other cases—for example, for $\\theta=0$. In summary, we present dynamic circuits as a solution for simulating Ising spin models on a honeycomb lattice, a topology that is not native to the hardware. The dynamic circuit solution allows ZZ interactions between qubits that are not nearest neighbors, with a shorter two-qubit gate depth than using SWAP gates, at the cost of introducing extra ancilla qubits and classical feed-forward operations." + ] + }, + { + "cell_type": "markdown", + "id": "52fb43e1", + "metadata": {}, + "source": [ + "# References\n", + "- Quantum computing with Qiskit, by Javadi-Abhari, A., Treinish, M., Krsulich, K., Wood, C.J., Lishman, J., Gacon, J., Martiel, S., Nation, P.D., Bishop, L.S., Cross, A.W. and Johnson, B.R., 2024. arXiv preprint [arXiv:2405.08810 (2024)](https://arxiv.org/abs/2405.08810)" + ] + } + ], + "metadata": { + "description": "Tutorial demonstrating utility-scale dynamic circuits using a hexagonal kicked Ising model simulation", + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3" + }, + "title": "Simulation of kicked Ising Hamiltonian with dynamic circuits" + }, + "nbformat": 4, + "nbformat_minor": 5 +}