Base

autostatic(A[; threshold=8])

Staticize dynamic array A by a threshold.

batch_normalize

normalize a batch of vector.

batch_normalize!(matrix)

normalize a batch of vector.

density_fidelity(ρ1, ρ2)

General fidelity (including mixed states) between two density matrix for qubits.

Definition

general_c1_gates(num_bit::Int, projector::AbstractMatrix, cbit::Int, gates::Vector{AbstractMatrix}, locs::Vector{Int}) -> AbstractMatrix

general (low performance) construction method for control gate on different lines.

general_controlled_gates(num_bit::Int, projectors::Vector{Tp}, cbits::Vector{Int}, gates::Vector{AbstractMatrix}, locs::Vector{Int}) -> AbstractMatrix

Return general multi-controlled gates in hilbert space of num_bit qubits,

• projectors are often chosen as P0 and P1 for inverse-Control and Control at specific position.
• cbits should have the same length as projectors, specifing the controling positions.
• gates are a list of controlled single qubit gates.
• locs should have the same length as gates, specifing the gates positions.

hilbertkron(num_bit::Int, gates::Vector{AbstractMatrix}, locs::Vector{Int}) -> AbstractMatrix

Return general kronecher product form of gates in Hilbert space of num_bit qubits.

• gates are a list of matrices.
• start_locs should have the same length as gates, specifing the gates starting positions.

linop2dense([T=ComplexF64], linear_map!::Function, n::Int) -> Matrix

Returns the dense matrix representation given linear map function.

nucnorm(m)

Computes the nuclear norm of a matrix m.

pure_state_fidelity(v1::Vector, v2::Vector)

fidelity for pure states.

purification_fidelity(m1::Matrix, m2::Matrix)

Fidelity for mixed states via purification.

Reference: http://iopscience.iop.org/article/10.1088/1367-2630/aa6a4b/meta

rand_hermitian([T=ComplexF64], N::Int) -> Matrix

Create a random hermitian matrix.

rand_unitary([T=ComplexF64], N::Int) -> Matrix

Create a random unitary matrix.

rotmat(M::AbstractMatrix, θ::Real)

Returns rotated M: $exp(-\frac{imθ}{2} M)$.

sprand_hermitian([T=ComplexF64], N, density)

Create a sparse random hermitian matrix.

sprand_unitary([T=ComplexF64], N::Int, density) -> SparseMatrixCSC

Create a random sparse unitary matrix.

trnorm(m)

Computes the trace norm of a matrix m.

ishermitian(op) -> Bool

check if this operator is hermitian.

iscommute(ops...) -> Bool

check if operators are commute.

isreflexive(op) -> Bool

check if this operator is reflexive.

isunitary(op) -> Bool

check if this operator is a unitary operator.

QubitMismatchError <: Exception

Qubit number mismatch error when applying a Block to a Register or concatenating Blocks.

islocs_conflict(locs) -> Bool

Check if the input locations has conflicts.

islocs_inbounds(n, locs) -> Bool

Check if the input locations are inside given bounds n.

@assert_locs_inbounds <number of total qubits> <locations list> [<msg>]

Assert if all the locations are inbounds.

@assert_locs_safe <number of total qubits> <locations list> [<msg>]

Assert if all the locations are: - inbounds. - do not have any conflict.