Detecting Non-Markovianity via Linear Entropy of Choi State

Xiao Zheng; Shao Qiang Ma; Guo Feng Zhang

doi:10.1002/andp.201900320

Detecting Non-Markovianity via Linear Entropy of Choi State

Xiao Zheng
, Shao Qiang Ma
, Guo Feng Zhang^*

^*Corresponding author for this work

School of Physics

Beihang University

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Non-Markovian dynamics detection is one of the most popular subjects in quantum information science. In this paper, a linear-entropy-based non-Markovianity witness scheme is constructed. The positive definiteness of the Choi state will be broken in non-Markovian evolution, which can be witnessed by its linear entropy. Thus, the linear entropy of the Choi state can be used to witness non-Markovian dynamics. The effectiveness of the proposed method is verified using the pure dephasing channel as an example. Finally, it is shown that this method can be extended to the one based on Rényi entropy.

Original language	English
Article number	1900320
Journal	Annalen der Physik
Volume	532
Issue number	1
DOIs	https://doi.org/10.1002/andp.201900320
State	Published - 1 Jan 2020

Keywords

Choi state
linear entropy
non-Markovianity

Access to Document

10.1002/andp.201900320

Cite this

@article{bff7a4338ecb4540bb65af137f20f28e,

title = "Detecting Non-Markovianity via Linear Entropy of Choi State",

abstract = "Non-Markovian dynamics detection is one of the most popular subjects in quantum information science. In this paper, a linear-entropy-based non-Markovianity witness scheme is constructed. The positive definiteness of the Choi state will be broken in non-Markovian evolution, which can be witnessed by its linear entropy. Thus, the linear entropy of the Choi state can be used to witness non-Markovian dynamics. The effectiveness of the proposed method is verified using the pure dephasing channel as an example. Finally, it is shown that this method can be extended to the one based on R{\'e}nyi entropy.",

keywords = "Choi state, linear entropy, non-Markovianity",

author = "Xiao Zheng and Ma, \{Shao Qiang\} and Zhang, \{Guo Feng\}",

note = "Publisher Copyright: {\textcopyright} 2019 WILEY-VCH Verlag GmbH \& Co. KGaA, Weinheim",

year = "2020",

month = jan,

day = "1",

doi = "10.1002/andp.201900320",

language = "英语",

volume = "532",

journal = "Annalen der Physik",

issn = "0003-3804",

publisher = "Wiley-Blackwell",

number = "1",

}

TY - JOUR

T1 - Detecting Non-Markovianity via Linear Entropy of Choi State

AU - Zheng, Xiao

AU - Ma, Shao Qiang

AU - Zhang, Guo Feng

PY - 2020/1/1

Y1 - 2020/1/1

N2 - Non-Markovian dynamics detection is one of the most popular subjects in quantum information science. In this paper, a linear-entropy-based non-Markovianity witness scheme is constructed. The positive definiteness of the Choi state will be broken in non-Markovian evolution, which can be witnessed by its linear entropy. Thus, the linear entropy of the Choi state can be used to witness non-Markovian dynamics. The effectiveness of the proposed method is verified using the pure dephasing channel as an example. Finally, it is shown that this method can be extended to the one based on Rényi entropy.

AB - Non-Markovian dynamics detection is one of the most popular subjects in quantum information science. In this paper, a linear-entropy-based non-Markovianity witness scheme is constructed. The positive definiteness of the Choi state will be broken in non-Markovian evolution, which can be witnessed by its linear entropy. Thus, the linear entropy of the Choi state can be used to witness non-Markovian dynamics. The effectiveness of the proposed method is verified using the pure dephasing channel as an example. Finally, it is shown that this method can be extended to the one based on Rényi entropy.

KW - Choi state

KW - linear entropy

KW - non-Markovianity

UR - https://www.scopus.com/pages/publications/85075739688

U2 - 10.1002/andp.201900320

DO - 10.1002/andp.201900320

M3 - 文章

AN - SCOPUS:85075739688

SN - 0003-3804

VL - 532

JO - Annalen der Physik

JF - Annalen der Physik

IS - 1

M1 - 1900320

ER -

Detecting Non-Markovianity via Linear Entropy of Choi State

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this