一种基于费希尔信息的量子信道不相容性判据

A Fisher Information-Based Incompatibility Criterion for Quantum Channels.

作者信息

Zhang Qing-Hua, Nechita Ion

机构信息

School of Mathematical Sciences, Capital Normal University, Beijing 100048, China.

Laboratoire de Physique Théorique, Université de Toulouse, CNRS, UPS, 31062 Toulouse, France.

出版信息

Entropy (Basel). 2022 Jun 8;24(6):805. doi: 10.3390/e24060805.

DOI:10.3390/e24060805

PMID:35741526

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9222584/

Abstract

We introduce a new incompatibility criterion for quantum channels based on the notion of (quantum) Fisher information. Our construction is based on a similar criterion for quantum measurements put forward by H. Zhu. We then study the power of the incompatibility criterion in different scenarios. First, we prove the first analytical conditions for the incompatibility of two Schur channels. Then, we study the incompatibility structure of a tuple of depolarizing channels, comparing the newly introduced criterion with the known results from asymmetric quantum cloning.

摘要

我们基于（量子）费希尔信息的概念引入了一种用于量子信道的新的不相容性准则。我们的构造基于H. Zhu提出的一种类似的量子测量准则。然后，我们研究了不相容性准则在不同场景下的效力。首先，我们证明了两个舒尔信道不相容性的首个解析条件。接着，我们研究了一组去极化信道的不相容性结构，将新引入的准则与非对称量子克隆的已知结果进行比较。