simplify synonyms

Author: ytdHuang

docs/src/resources/api.md

@@ -170,14 +170,14 @@ trans
 dag
 matrix_element
 unit
+tensor
+⊗
+qeye
 sqrtm
 logm
 expm
 sinm
 cosm
-tensor
-⊗
-qeye
 ```
 
 ## [Time evolution](@id doc-API:Time-evolution)

src/qobj/arithmetic_and_attributes.jl

@@ -130,12 +130,15 @@ end
 
 @doc raw"""
     dot(i::QuantumObject, A::AbstractQuantumObject j::QuantumObject)
+    matrix_element(i::QuantumObject, A::AbstractQuantumObject j::QuantumObject)
 
 Compute the generalized dot product `dot(i, A*j)` between a [`AbstractQuantumObject`](@ref) and two [`QuantumObject`](@ref) (`i` and `j`), namely ``\langle i | \hat{A} | j \rangle``.
 
 Supports the following inputs:
 - `A` is in the type of [`Operator`](@ref), with `i` and `j` are both [`Ket`](@ref).
 - `A` is in the type of [`SuperOperator`](@ref), with `i` and `j` are both [`OperatorKet`](@ref)
+
+Note that `matrix_element(i, A, j)` is a synonym of `dot(i, A, j)`.
 """
 function LinearAlgebra.dot(
     i::QuantumObject{DT1,KetQuantumObject},
@@ -195,10 +198,11 @@ LinearAlgebra.transpose(
 @doc raw"""
     A'
     adjoint(A::AbstractQuantumObject)
+    dag(A::AbstractQuantumObject)
 
 Lazy adjoint (conjugate transposition) of the [`AbstractQuantumObject`](@ref)
 
-Note that `A'` is a synonym for `adjoint(A)`
+Note that `A'` and `dag(A)` are synonyms of `adjoint(A)`.
 """
 LinearAlgebra.adjoint(
     A::AbstractQuantumObject{DT,OpType},
@@ -310,13 +314,16 @@ end
 
 @doc raw"""
     normalize(A::QuantumObject, p::Real)
+    unit(A::QuantumObject, p::Real)
 
 Return normalized [`QuantumObject`](@ref) so that its `p`-norm equals to unity, i.e. `norm(A, p) == 1`.
 
 Support for the following types of [`QuantumObject`](@ref):
 - If `A` is [`Ket`](@ref) or [`Bra`](@ref), default `p = 2`
 - If `A` is [`Operator`](@ref), default `p = 1`
 
+Note that `unit` is a synonym of `normalize`.
+
 Also, see [`norm`](@ref) about its definition for different types of [`QuantumObject`](@ref).
 """
 LinearAlgebra.normalize(

src/qobj/boolean_functions.jl

@@ -61,8 +61,11 @@ issuper(A) = false # default case
 
 @doc raw"""
     ishermitian(A::AbstractQuantumObject)
+    isherm(A::AbstractQuantumObject)
 
 Test whether the [`AbstractQuantumObject`](@ref) is Hermitian.
+
+Note that `isherm` is a synonym of `ishermitian`.
 """
 LinearAlgebra.ishermitian(A::AbstractQuantumObject) = ishermitian(A.data)
 

src/qobj/functions.jl

@@ -148,9 +148,14 @@ end
 
 @doc raw"""
     kron(A::AbstractQuantumObject, B::AbstractQuantumObject, ...)
+    tensor(A::AbstractQuantumObject, B::AbstractQuantumObject, ...)
+    ⊗(A::AbstractQuantumObject, B::AbstractQuantumObject, ...)
+    A ⊗ B
 
 Returns the [Kronecker product](https://en.wikipedia.org/wiki/Kronecker_product) ``\hat{A} \otimes \hat{B} \otimes \cdots``.
 
+Note that `tensor` and `⊗` are synonyms of `kron`.
+
 # Examples
 
 ```jldoctest

src/qobj/operators.jl

@@ -416,12 +416,15 @@ sigmaz() = rmul!(jmat(0.5, Val(:z)), 2)
 
 @doc raw"""
     eye(N::Int; type=Operator, dims=nothing)
+    qeye(N::Int; type=Operator, dims=nothing)
 
 Identity operator ``\hat{\mathbb{1}}`` with size `N`.
 
 It is also possible to specify the list of Hilbert dimensions `dims` if different subsystems are present.
 
-Note that `type` can only be either [`Operator`](@ref) or [`SuperOperator`](@ref)
+Note that 
+- `type` can only be either [`Operator`](@ref) or [`SuperOperator`](@ref)
+- `qeye` is a synonym of `eye`
 """
 eye(
     N::Int;

src/qobj/quantum_object.jl

@@ -50,10 +50,16 @@ struct QuantumObject{MT<:AbstractArray,ObjType<:QuantumObjectType,N} <: Abstract
     end
 end
 
-function QuantumObject(A::AbstractArray, type::ObjType, dims::Integer) where {ObjType<:QuantumObjectType}
-    return QuantumObject(A, type, SVector{1,Int}(dims))
-end
+QuantumObject(A::AbstractArray, type::ObjType, dims::Integer) where {ObjType<:QuantumObjectType} = QuantumObject(A, type, SVector{1,Int}(dims))
+
+@doc raw"""
+    Qobj(A::AbstractArray; type = nothing, dims = nothing)
+    QuantumObject(A::AbstractArray; type = nothing, dims = nothing)
 
+Generate [`QuantumObject`](@ref) with a given `A::AbstractArray` and specified `type::QuantumObjectType` and `dims`.
+
+Note that `Qobj` is a synonym of `QuantumObject`.
+"""
 function QuantumObject(
     A::AbstractMatrix{T};
     type::ObjType = nothing,

src/qobj/quantum_object_base.jl

@@ -121,10 +121,14 @@ const OperatorKet = OperatorKetQuantumObject()
 @doc raw"""
     size(A::AbstractQuantumObject)
     size(A::AbstractQuantumObject, idx::Int)
+    shape(A::AbstractQuantumObject)
+    shape(A::AbstractQuantumObject, idx::Int)
 
 Returns a tuple containing each dimensions of the array in the [`AbstractQuantumObject`](@ref).
 
 Optionally, you can specify an index (`idx`) to just get the corresponding dimension of the array.
+
+Note that `shape` is a synonym of `size`.
 """
 Base.size(A::AbstractQuantumObject) = size(A.data)
 Base.size(A::AbstractQuantumObject, idx::Int) = size(A.data, idx)

src/qobj/quantum_object_evo.jl

@@ -30,7 +30,7 @@ Quantum Object:   type=Operator   dims=[10, 2]   size=(20, 20)   ishermitian=fal
 julia> coef1(p, t) = exp(-1im * t)
 coef1 (generic function with 1 method)
 
-julia> op = QuantumObjectEvolution(a, coef1)
+julia> op = QobjEvo(a, coef1)
 Quantum Object Evo.:   type=Operator   dims=[10, 2]   size=(20, 20)   ishermitian=true   isconstant=false
 ScalarOperator(0.0 + 0.0im) * MatrixOperator(20 × 20)
 ```
@@ -50,7 +50,7 @@ Quantum Object:   type=Operator   dims=[10, 2]   size=(20, 20)   ishermitian=fal
 julia> coef2(p, t) = sin(t)
 coef2 (generic function with 1 method)
 
-julia> op1 = QuantumObjectEvolution(((a, coef1), (σm, coef2)))
+julia> op1 = QobjEvo(((a, coef1), (σm, coef2)))
 Quantum Object Evo.:   type=Operator   dims=[10, 2]   size=(20, 20)   ishermitian=true   isconstant=false
 (ScalarOperator(0.0 + 0.0im) * MatrixOperator(20 × 20) + ScalarOperator(0.0 + 0.0im) * MatrixOperator(20 × 20))
 ```
@@ -75,7 +75,7 @@ coef1 (generic function with 1 method)
 julia> coef2(p, t) = sin(p.ω2 * t)
 coef2 (generic function with 1 method)
 
-julia> op1 = QuantumObjectEvolution(((a, coef1), (σm, coef2)))
+julia> op1 = QobjEvo(((a, coef1), (σm, coef2)))
 Quantum Object Evo.:   type=Operator   dims=[10, 2]   size=(20, 20)   ishermitian=true   isconstant=false
 (ScalarOperator(0.0 + 0.0im) * MatrixOperator(20 × 20) + ScalarOperator(0.0 + 0.0im) * MatrixOperator(20 × 20))
 
@@ -143,9 +143,12 @@ function QuantumObjectEvolution(data::AbstractSciMLOperator, type::QuantumObject
 end
 
 @doc raw"""
+    QobjEvo(data::AbstractSciMLOperator; type::QuantumObjectType = Operator, dims = nothing)
     QuantumObjectEvolution(data::AbstractSciMLOperator; type::QuantumObjectType = Operator, dims = nothing)
 
 Generate a [`QuantumObjectEvolution`](@ref) object from a [`SciMLOperator`](https://github.com/SciML/SciMLOperators.jl), in the same way as [`QuantumObject`](@ref) for `AbstractArray` inputs.
+
+Note that `QobjEvo` is a synonym of `QuantumObjectEvolution`
 """
 function QuantumObjectEvolution(data::AbstractSciMLOperator; type::QuantumObjectType = Operator, dims = nothing)
     _size = _get_size(data)
@@ -161,7 +164,92 @@ function QuantumObjectEvolution(data::AbstractSciMLOperator; type::QuantumObject
     return QuantumObjectEvolution(data, type, dims)
 end
 
-# Make the QuantumObjectEvolution, with the option to pre-multiply by a scalar
+@doc raw"""
+    QobjEvo(op_func_list::Union{Tuple,AbstractQuantumObject}, α::Union{Nothing,Number}=nothing; type::Union{Nothing, QuantumObjectType}=nothing)
+    QuantumObjectEvolution(op_func_list::Union{Tuple,AbstractQuantumObject}, α::Union{Nothing,Number}=nothing; type::Union{Nothing, QuantumObjectType}=nothing)
+
+Generate [`QuantumObjectEvolution`](@ref).
+
+# Arguments
+- `op_func_list::Union{Tuple,AbstractQuantumObject}`: A tuple of tuples or operators.
+- `α::Union{Nothing,Number}=nothing`: A scalar to pre-multiply the operators.
+
+!!! warning "Beware of type-stability!"
+    Please note that, unlike QuTiP, this function doesn't support `op_func_list` as `Vector` type. This is related to the type-stability issue. See the Section [The Importance of Type-Stability](@ref doc:Type-Stability) for more details.
+
+# Notes
+- If `α` is provided, all the operators in `op_func_list` will be pre-multiplied by `α`. The `type` parameter is used to specify the type of the [`QuantumObject`](@ref), either `Operator` or `SuperOperator`. The `f` parameter is used to pre-apply a function to the operators before converting them to SciML operators.
+- `QobjEvo` is a synonym of `QuantumObjectEvolution`
+
+# Examples
+This operator can be initialized in the same way as the QuTiP `QobjEvo` object. For example
+```jldoctest qobjevo
+julia> a = tensor(destroy(10), qeye(2))
+Quantum Object:   type=Operator   dims=[10, 2]   size=(20, 20)   ishermitian=false
+20×20 SparseMatrixCSC{ComplexF64, Int64} with 18 stored entries:
+⎡⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⎤
+⎢⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⎥
+⎢⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⎥
+⎢⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⎥
+⎣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⎦
+
+julia> σm = tensor(qeye(10), sigmam())
+Quantum Object:   type=Operator   dims=[10, 2]   size=(20, 20)   ishermitian=false
+20×20 SparseMatrixCSC{ComplexF64, Int64} with 10 stored entries:
+⎡⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⎤
+⎢⠀⠀⠂⡀⠀⠀⠀⠀⠀⠀⎥
+⎢⠀⠀⠀⠀⠂⡀⠀⠀⠀⠀⎥
+⎢⠀⠀⠀⠀⠀⠀⠂⡀⠀⠀⎥
+⎣⠀⠀⠀⠀⠀⠀⠀⠀⠂⡀⎦
+
+julia> coef1(p, t) = exp(-1im * t)
+coef1 (generic function with 1 method)
+
+julia> coef2(p, t) = sin(t)
+coef2 (generic function with 1 method)
+
+julia> op1 = QobjEvo(((a, coef1), (σm, coef2)))
+Quantum Object Evo.:   type=Operator   dims=[10, 2]   size=(20, 20)   ishermitian=true   isconstant=false
+(ScalarOperator(0.0 + 0.0im) * MatrixOperator(20 × 20) + ScalarOperator(0.0 + 0.0im) * MatrixOperator(20 × 20))
+```
+
+We can also concretize the operator at a specific time `t`
+```jldoctest qobjevo
+julia> op1(0.1)
+Quantum Object:   type=Operator   dims=[10, 2]   size=(20, 20)   ishermitian=false
+20×20 SparseMatrixCSC{ComplexF64, Int64} with 28 stored entries:
+⎡⠂⡑⢄⠀⠀⠀⠀⠀⠀⠀⎤
+⎢⠀⠀⠂⡑⢄⠀⠀⠀⠀⠀⎥
+⎢⠀⠀⠀⠀⠂⡑⢄⠀⠀⠀⎥
+⎢⠀⠀⠀⠀⠀⠀⠂⡑⢄⠀⎥
+⎣⠀⠀⠀⠀⠀⠀⠀⠀⠂⡑⎦
+```
+
+It also supports parameter-dependent time evolution
+```jldoctest qobjevo
+julia> coef1(p, t) = exp(-1im * p.ω1 * t)
+coef1 (generic function with 1 method)
+
+julia> coef2(p, t) = sin(p.ω2 * t)
+coef2 (generic function with 1 method)
+
+julia> op1 = QobjEvo(((a, coef1), (σm, coef2)))
+Quantum Object Evo.:   type=Operator   dims=[10, 2]   size=(20, 20)   ishermitian=true   isconstant=false
+(ScalarOperator(0.0 + 0.0im) * MatrixOperator(20 × 20) + ScalarOperator(0.0 + 0.0im) * MatrixOperator(20 × 20))
+
+julia> p = (ω1 = 1.0, ω2 = 0.5)
+(ω1 = 1.0, ω2 = 0.5)
+
+julia> op1(p, 0.1)
+Quantum Object:   type=Operator   dims=[10, 2]   size=(20, 20)   ishermitian=false
+20×20 SparseMatrixCSC{ComplexF64, Int64} with 28 stored entries:
+⎡⠂⡑⢄⠀⠀⠀⠀⠀⠀⠀⎤
+⎢⠀⠀⠂⡑⢄⠀⠀⠀⠀⠀⎥
+⎢⠀⠀⠀⠀⠂⡑⢄⠀⠀⠀⎥
+⎢⠀⠀⠀⠀⠀⠀⠂⡑⢄⠀⎥
+⎣⠀⠀⠀⠀⠀⠀⠀⠀⠂⡑⎦
+```
+"""
 function QuantumObjectEvolution(
     op_func_list::Tuple,
     α::Union{Nothing,Number} = nothing;
@@ -187,6 +275,35 @@ QuantumObjectEvolution(
     type::Union{Nothing,QuantumObjectType} = nothing,
 ) = QuantumObjectEvolution((op_func,), α; type = type)
 
+@doc raw"""
+    QuantumObjectEvolution(op::QuantumObject, f::Function, α::Union{Nothing,Number}=nothing; type::Union{Nothing,QuantumObjectType} = nothing)
+    QobjEvo(op::QuantumObject, f::Function, α::Union{Nothing,Number}=nothing; type::Union{Nothing,QuantumObjectType} = nothing)
+
+Generate [`QuantumObjectEvolution`](@ref).
+
+# Notes
+- The `f` parameter is used to pre-apply a function to the operators before converting them to SciML operators. The `type` parameter is used to specify the type of the [`QuantumObject`](@ref), either `Operator` or `SuperOperator`.
+- `QobjEvo` is a synonym of `QuantumObjectEvolution`.
+
+# Examples
+```jldoctest
+julia> a = tensor(destroy(10), qeye(2))
+Quantum Object:   type=Operator   dims=[10, 2]   size=(20, 20)   ishermitian=false
+20×20 SparseMatrixCSC{ComplexF64, Int64} with 18 stored entries:
+⎡⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⎤
+⎢⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⎥
+⎢⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⎥
+⎢⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⎥
+⎣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⎦
+
+julia> coef(p, t) = exp(-1im * t)
+coef (generic function with 1 method)
+
+julia> op = QobjEvo(a, coef)
+Quantum Object Evo.:   type=Operator   dims=[10, 2]   size=(20, 20)   ishermitian=true   isconstant=false
+ScalarOperator(0.0 + 0.0im) * MatrixOperator(20 × 20)
+```
+"""
 QuantumObjectEvolution(
     op::QuantumObject,
     f::Function,