通过动力学映射谱检测量子演化的非马尔可夫性

Detecting Non-Markovianity of Quantum Evolution via Spectra of Dynamical Maps.

作者信息

Chruściński Dariusz, Macchiavello Chiara, Maniscalco Sabrina

机构信息

Faculty of Physics, Institute of Physics, Nicolaus Copernicus University, Astronomy and Informatics, Grudziądzka 5/7, 87-100 Toruń, Poland.

Dipartimento di Fisica and INFN-Sezione di Pavia, via A. Bassi 6, I-27100 Pavia, Italy.

出版信息

Phys Rev Lett. 2017 Feb 24;118(8):080404. doi: 10.1103/PhysRevLett.118.080404.

DOI:10.1103/PhysRevLett.118.080404

PMID:28282202

Abstract

We provide an analysis on non-Markovian quantum evolution based on the spectral properties of dynamical maps. We introduce the dynamical analog of entanglement witness to detect non-Markovianity and we illustrate its behavior with several instructive examples. It is shown that for several important classes of dynamical maps the corresponding evolution of singular values and/or eigenvalues of the map provides a simple non-Markovianity witness.

摘要

我们基于动力学映射的谱性质对非马尔可夫量子演化进行了分析。我们引入了纠缠见证的动力学类似物来检测非马尔可夫性，并用几个有启发性的例子说明了其行为。结果表明，对于几类重要的动力学映射，映射的奇异值和/或特征值的相应演化提供了一个简单的非马尔可夫性见证。