qics.quantum.swap

qics.quantum.swap(mat, dims, sys1, sys2)

Swaps two systems of a multipartite quantum state, e.g., for a bipartite state with dims=(n0, n1), it is the unique linear maps satisfying

\[X \otimes Y \mapsto Y \otimes X,\]

for all \(X,Y\in\mathbb{H}^{n}\).

Parameters:

matndarray

Array of size (n0*n1*...*nk-1, n0*n1*...*nk-1) represnting a matrix defined on \(k\) subsystems which we want to swap the subsystems of.

dimstuple of int

The dimensions (n0, n1, ..., nk-1) of the \(k\) subsystems.

sys1int

First of the \(k\) subsystems to swap.

sys2int

Second of the \(k\) subsystems to swap

Returns:

ndarray

The resulting (n0*n1*...*nk-1, n0*n1*...*nk-1) matrix after performing the swap operator.