On bipartite unitary matrices generating subalgebra-preserving quantum operations

被引：13

作者：

Benoist, Tristan ^{[1
]}

Nechita, Ion ^{[1
]}

机构：

[1] CNRS, Phys Theor Lab, Toulouse, France

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2017年 / 521卷

关键词：

Quantum channel; Completely positive map; Invariant sub-algebra; Quantum Latin square; Sinkhorn algorithm; Operator scaling; DOUBLY STOCHASTIC MATRICES; STATE REDUCTION; CONVERGENCE; MODELS;

D O I：

10.1016/j.laa.2017.01.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：70 / 103

页数：34

共 23 条

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