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add test suites
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‎benchmark/MPSKitBenchmarks/derivatives/DerivativesBenchmarks.jl‎

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Original file line numberDiff line numberDiff line change
@@ -3,6 +3,7 @@ module DerivativesBenchmarks
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export AC2Spec
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using BenchmarkTools
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using TOML
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using TensorKit
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using BlockTensorKit
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using MPSKit
@@ -11,7 +12,27 @@ import ..BenchUtils: tomlify, untomlify
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const SUITE = BenchmarkGroup()
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const allparams = Dict(
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"heisenberg_NN" => TOML.parsefile(joinpath(@__DIR__, "heisenberg_NN_specs.toml"))
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)
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include("AC2_benchmarks.jl")
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T = Float64
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suite_init = addgroup!(SUITE, "AC2_preparation")
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suite_apply = addgroup!(SUITE, "AC2_contraction")
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for (model, params) in allparams
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g_prep = addgroup!(suite_init, model)
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g_contract = addgroup!(suite_apply, model)
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specs = untomlify.(AC2Spec, params["specs"])
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for spec in specs
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name = benchname(spec)
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g_prep[name] = preparation_benchmark(spec; T)
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g_contract[name] = contraction_benchmark(spec; T)
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end
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end
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end

‎benchmark/MPSKitBenchmarks/derivatives/heisenberg_NN.toml‎

Lines changed: 150 additions & 0 deletions
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,150 @@
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[[specs]]
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mps_virtualspaces = ["ℂ^1", "ℂ^3", "ℂ^1"]
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nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
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mpo_virtualspaces = ["(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)", "(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)", "(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)"]
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physicalspaces = ["ℂ^3", "ℂ^3"]
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[[specs]]
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mps_virtualspaces = ["ℂ^4", "ℂ^4", "ℂ^4"]
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nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
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mpo_virtualspaces = ["(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)", "(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)", "(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)"]
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physicalspaces = ["ℂ^3", "ℂ^3"]
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[[specs]]
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mps_virtualspaces = ["ℂ^4", "ℂ^4", "ℂ^4"]
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nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
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mpo_virtualspaces = ["(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)", "(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)", "(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)"]
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physicalspaces = ["ℂ^3", "ℂ^3"]
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[[specs]]
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mps_virtualspaces = ["ℂ^9", "ℂ^7", "ℂ^9"]
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nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
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mpo_virtualspaces = ["(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)", "(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)", "(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)"]
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physicalspaces = ["ℂ^3", "ℂ^3"]
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[[specs]]
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mps_virtualspaces = ["ℂ^12", "ℂ^12", "ℂ^12"]
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nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
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mpo_virtualspaces = ["(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)", "(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)", "(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)"]
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physicalspaces = ["ℂ^3", "ℂ^3"]
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[[specs]]
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mps_virtualspaces = ["ℂ^21", "ℂ^21", "ℂ^21"]
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nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
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mpo_virtualspaces = ["(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)", "(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)", "(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)"]
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physicalspaces = ["ℂ^3", "ℂ^3"]
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[[specs]]
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mps_virtualspaces = ["ℂ^29", "ℂ^24", "ℂ^29"]
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nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
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mpo_virtualspaces = ["(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)", "(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)", "(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)"]
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physicalspaces = ["ℂ^3", "ℂ^3"]
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[[specs]]
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mps_virtualspaces = ["ℂ^44", "ℂ^44", "ℂ^44"]
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nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
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mpo_virtualspaces = ["(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)", "(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)", "(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)"]
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physicalspaces = ["ℂ^3", "ℂ^3"]
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[[specs]]
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mps_virtualspaces = ["ℂ^65", "ℂ^63", "ℂ^65"]
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nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
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mpo_virtualspaces = ["(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)", "(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)", "(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)"]
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physicalspaces = ["ℂ^3", "ℂ^3"]
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[[specs]]
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mps_virtualspaces = ["ℂ^81", "ℂ^96", "ℂ^81"]
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nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
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mpo_virtualspaces = ["(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)", "(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)", "(ℂ^1 ⊞ ℂ^3 ⊞ ℂ^1)"]
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physicalspaces = ["ℂ^3", "ℂ^3"]
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[[specs]]
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mps_virtualspaces = ["Rep[U₁](0 => 1)", "Rep[U₁](0 => 1, 1 => 1, -1 => 1)", "Rep[U₁](0 => 1)"]
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nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
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mpo_virtualspaces = ["(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))", "(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))", "(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))"]
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physicalspaces = ["Rep[U₁](0 => 1, 1 => 1, -1 => 1)", "Rep[U₁](0 => 1, 1 => 1, -1 => 1)"]
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[[specs]]
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mps_virtualspaces = ["Rep[U₁](0 => 2, 1 => 1, -1 => 1)", "Rep[U₁](0 => 2, 1 => 1, -1 => 1)", "Rep[U₁](0 => 2, 1 => 1, -1 => 1)"]
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nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
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mpo_virtualspaces = ["(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))", "(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))", "(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))"]
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physicalspaces = ["Rep[U₁](0 => 1, 1 => 1, -1 => 1)", "Rep[U₁](0 => 1, 1 => 1, -1 => 1)"]
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[[specs]]
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mps_virtualspaces = ["Rep[U₁](0 => 2, 1 => 1, -1 => 1)", "Rep[U₁](0 => 2, 1 => 1, -1 => 1)", "Rep[U₁](0 => 2, 1 => 1, -1 => 1)"]
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nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
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mpo_virtualspaces = ["(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))", "(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))", "(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))"]
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physicalspaces = ["Rep[U₁](0 => 1, 1 => 1, -1 => 1)", "Rep[U₁](0 => 1, 1 => 1, -1 => 1)"]
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[[specs]]
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mps_virtualspaces = ["Rep[U₁](0 => 3, 1 => 2, -1 => 2, 2 => 1, -2 => 1)", "Rep[U₁](0 => 2, 1 => 1, -1 => 1)", "Rep[U₁](0 => 3, 1 => 2, -1 => 2, 2 => 1, -2 => 1)"]
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nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
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mpo_virtualspaces = ["(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))", "(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))", "(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))"]
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physicalspaces = ["Rep[U₁](0 => 1, 1 => 1, -1 => 1)", "Rep[U₁](0 => 1, 1 => 1, -1 => 1)"]
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[[specs]]
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mps_virtualspaces = ["Rep[U₁](0 => 3, 1 => 2, -1 => 2, 2 => 1, -2 => 1)", "Rep[U₁](0 => 3, 1 => 2, -1 => 2, 2 => 1, -2 => 1)", "Rep[U₁](0 => 3, 1 => 2, -1 => 2, 2 => 1, -2 => 1)"]
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nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
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mpo_virtualspaces = ["(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))", "(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))", "(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))"]
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physicalspaces = ["Rep[U₁](0 => 1, 1 => 1, -1 => 1)", "Rep[U₁](0 => 1, 1 => 1, -1 => 1)"]
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[[specs]]
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mps_virtualspaces = ["Rep[U₁](0 => 3, 1 => 2, -1 => 2, 2 => 1, -2 => 1)", "Rep[U₁](0 => 3, 1 => 2, -1 => 2, 2 => 1, -2 => 1)", "Rep[U₁](0 => 3, 1 => 2, -1 => 2, 2 => 1, -2 => 1)"]
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nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
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mpo_virtualspaces = ["(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))", "(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))", "(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))"]
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physicalspaces = ["Rep[U₁](0 => 1, 1 => 1, -1 => 1)", "Rep[U₁](0 => 1, 1 => 1, -1 => 1)"]
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[[specs]]
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mps_virtualspaces = ["Rep[U₁](0 => 3, 1 => 2, -1 => 2, 2 => 1, -2 => 1)", "Rep[U₁](0 => 3, 1 => 2, -1 => 2, 2 => 1, -2 => 1)", "Rep[U₁](0 => 3, 1 => 2, -1 => 2, 2 => 1, -2 => 1)"]
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nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
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mpo_virtualspaces = ["(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))", "(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))", "(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))"]
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physicalspaces = ["Rep[U₁](0 => 1, 1 => 1, -1 => 1)", "Rep[U₁](0 => 1, 1 => 1, -1 => 1)"]
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[[specs]]
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mps_virtualspaces = ["Rep[U₁](0 => 4, 1 => 3, -1 => 3, 2 => 2, -2 => 2, 3 => 1, -3 => 1)", "Rep[U₁](0 => 4, 1 => 3, -1 => 3, 2 => 2, -2 => 2, 3 => 1, -3 => 1)", "Rep[U₁](0 => 4, 1 => 3, -1 => 3, 2 => 2, -2 => 2, 3 => 1, -3 => 1)"]
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nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
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mpo_virtualspaces = ["(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))", "(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))", "(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))"]
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physicalspaces = ["Rep[U₁](0 => 1, 1 => 1, -1 => 1)", "Rep[U₁](0 => 1, 1 => 1, -1 => 1)"]
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[[specs]]
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mps_virtualspaces = ["Rep[U₁](0 => 4, 1 => 3, -1 => 3, 2 => 2, -2 => 2, 3 => 1, -3 => 1)", "Rep[U₁](0 => 4, 1 => 3, -1 => 3, 2 => 2, -2 => 2, 3 => 1, -3 => 1)", "Rep[U₁](0 => 4, 1 => 3, -1 => 3, 2 => 2, -2 => 2, 3 => 1, -3 => 1)"]
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nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
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mpo_virtualspaces = ["(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))", "(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))", "(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))"]
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physicalspaces = ["Rep[U₁](0 => 1, 1 => 1, -1 => 1)", "Rep[U₁](0 => 1, 1 => 1, -1 => 1)"]
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[[specs]]
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mps_virtualspaces = ["Rep[U₁](0 => 5, 1 => 4, -1 => 4, 2 => 3, -2 => 3, 3 => 2, -3 => 2, 4 => 1, -4 => 1)", "Rep[U₁](0 => 4, 1 => 3, -1 => 3, 2 => 2, -2 => 2, 3 => 1, -3 => 1)", "Rep[U₁](0 => 5, 1 => 4, -1 => 4, 2 => 3, -2 => 3, 3 => 2, -3 => 2, 4 => 1, -4 => 1)"]
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nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
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mpo_virtualspaces = ["(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))", "(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))", "(Rep[U₁](0=>1) ⊞ Rep[U₁](0=>1, 1=>1, -1=>1) ⊞ Rep[U₁](0=>1))"]
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physicalspaces = ["Rep[U₁](0 => 1, 1 => 1, -1 => 1)", "Rep[U₁](0 => 1, 1 => 1, -1 => 1)"]
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[[specs]]
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mps_virtualspaces = ["Rep[SU₂](0 => 1)", "Rep[SU₂](1 => 1)", "Rep[SU₂](0 => 1)"]
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nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
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mpo_virtualspaces = ["(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))", "(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))", "(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))"]
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physicalspaces = ["Rep[SU₂](1 => 1)", "Rep[SU₂](1 => 1)"]
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[[specs]]
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mps_virtualspaces = ["Rep[SU₂](0 => 1, 1 => 1)", "Rep[SU₂](0 => 1, 1 => 1)", "Rep[SU₂](0 => 1, 1 => 1)"]
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nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
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mpo_virtualspaces = ["(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))", "(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))", "(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))"]
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physicalspaces = ["Rep[SU₂](1 => 1)", "Rep[SU₂](1 => 1)"]
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[[specs]]
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mps_virtualspaces = ["Rep[SU₂](0 => 1, 1 => 1)", "Rep[SU₂](0 => 1, 1 => 1)", "Rep[SU₂](0 => 1, 1 => 1)"]
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nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
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mpo_virtualspaces = ["(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))", "(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))", "(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))"]
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physicalspaces = ["Rep[SU₂](1 => 1)", "Rep[SU₂](1 => 1)"]
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[[specs]]
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mps_virtualspaces = ["Rep[SU₂](0 => 1, 1 => 1, 2 => 1)", "Rep[SU₂](0 => 1, 1 => 2)", "Rep[SU₂](0 => 1, 1 => 1, 2 => 1)"]
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nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
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mpo_virtualspaces = ["(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))", "(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))", "(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))"]
120+
physicalspaces = ["Rep[SU₂](1 => 1)", "Rep[SU₂](1 => 1)"]
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[[specs]]
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mps_virtualspaces = ["Rep[SU₂](0 => 1, 1 => 2, 2 => 1)", "Rep[SU₂](0 => 1, 1 => 2, 2 => 1)", "Rep[SU₂](0 => 1, 1 => 2, 2 => 1)"]
123+
nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
124+
mpo_virtualspaces = ["(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))", "(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))", "(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))"]
125+
physicalspaces = ["Rep[SU₂](1 => 1)", "Rep[SU₂](1 => 1)"]
126+
[[specs]]
127+
mps_virtualspaces = ["Rep[SU₂](0 => 2, 1 => 3, 2 => 2)", "Rep[SU₂](0 => 2, 1 => 3, 2 => 2)", "Rep[SU₂](0 => 2, 1 => 3, 2 => 2)"]
128+
nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
129+
mpo_virtualspaces = ["(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))", "(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))", "(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))"]
130+
physicalspaces = ["Rep[SU₂](1 => 1)", "Rep[SU₂](1 => 1)"]
131+
[[specs]]
132+
mps_virtualspaces = ["Rep[SU₂](0 => 2, 1 => 4, 2 => 3)", "Rep[SU₂](0 => 2, 1 => 4, 2 => 2)", "Rep[SU₂](0 => 2, 1 => 4, 2 => 3)"]
133+
nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
134+
mpo_virtualspaces = ["(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))", "(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))", "(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))"]
135+
physicalspaces = ["Rep[SU₂](1 => 1)", "Rep[SU₂](1 => 1)"]
136+
[[specs]]
137+
mps_virtualspaces = ["Rep[SU₂](0 => 2, 1 => 5, 2 => 4, 3 => 1)", "Rep[SU₂](0 => 2, 1 => 5, 2 => 4, 3 => 1)", "Rep[SU₂](0 => 2, 1 => 5, 2 => 4, 3 => 1)"]
138+
nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
139+
mpo_virtualspaces = ["(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))", "(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))", "(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))"]
140+
physicalspaces = ["Rep[SU₂](1 => 1)", "Rep[SU₂](1 => 1)"]
141+
[[specs]]
142+
mps_virtualspaces = ["Rep[SU₂](0 => 3, 1 => 6, 2 => 6, 3 => 2)", "Rep[SU₂](0 => 3, 1 => 7, 2 => 5, 3 => 2)", "Rep[SU₂](0 => 3, 1 => 6, 2 => 6, 3 => 2)"]
143+
nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
144+
mpo_virtualspaces = ["(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))", "(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))", "(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))"]
145+
physicalspaces = ["Rep[SU₂](1 => 1)", "Rep[SU₂](1 => 1)"]
146+
[[specs]]
147+
mps_virtualspaces = ["Rep[SU₂](0 => 3, 1 => 6, 2 => 6, 3 => 3, 4 => 1)", "Rep[SU₂](0 => 5, 1 => 10, 2 => 8, 3 => 3)", "Rep[SU₂](0 => 3, 1 => 6, 2 => 6, 3 => 3, 4 => 1)"]
148+
nonzero_keys = [[[1, 1], [3, 3], [2, 3], [1, 2]], [[1, 1], [3, 3], [2, 3], [1, 2]]]
149+
mpo_virtualspaces = ["(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))", "(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))", "(Rep[SU₂](0=>1) ⊞ Rep[SU₂](1=>1) ⊞ Rep[SU₂](0=>1))"]
150+
physicalspaces = ["Rep[SU₂](1 => 1)", "Rep[SU₂](1 => 1)"]

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