On bipartite unitary matrices generating subalgebra-preserving quantum operations
Quantum Physics
2018-07-09 v2 Mathematical Physics
math.MP
Abstract
We study the structure of bipartite unitary operators which generate via the Stinespring dilation theorem, quantum operations preserving some given matrix algebra, independently of the ancilla state. We characterize completely the unitary operators preserving diagonal, block-diagonal, and tensor product algebras. Some unexpected connections with the theory of quantum Latin squares are explored, and we introduce and study a Sinkhorn-like algorithm used to randomly generate quantum Latin squares.
Cite
@article{arxiv.1608.05811,
title = {On bipartite unitary matrices generating subalgebra-preserving quantum operations},
author = {Tristan Benoist and Ion Nechita},
journal= {arXiv preprint arXiv:1608.05811},
year = {2018}
}
Comments
a new reference added and minor modifications