qics.quantum.i_kr¶

qics.quantum.i_kr(mat, dims, sys)[source]¶

Performs Kronecker product between the identity matrix and a given matrix, e.g., if we consider a bipartite setup with dims=(n0, n1), this is the unique linear map satisfying

\[X \mapsto \mathbb{I} \otimes X,\]

if sys=0, or

\[X \mapsto X \otimes \mathbb{I},\]

if sys=1, for all \(X\in\mathbb{H}^n\).

Parameters:

matndarray: Array of size (n0*n1*...*nk-1 / nx, n0*n1*...*nk-1 / nx) to apply the Kronecker product to, where nx is the product of the dimensions of the subsystems specified by sys.
dimstuple of int: The dimensions (n0, n1, ..., nk-1) of the \(k\) subsystems which the output is defined on.
sysint or tuple of int: Which of the \(k\) subsystems to apply the Kronecker product to. Can define multiple subsystems.

Returns:

ndarray: The resulting (n0*n1*...*nk-1, n0*n1*...*nk-1) matrix after performing the Kronecker product.