Affordable Access

Access to the full text

Measurement-induced entropy increment for quantifying genuine coherence

Authors
  • Dai, Yue1
  • Hu, Jun1
  • Zhang, Zhou1
  • Zhang, Chengjie2
  • Dong, Yuli1
  • Wang, Xuefeng1
  • 1 Soochow University, Suzhou, 215006, China , Suzhou (China)
  • 2 Ningbo University, Ningbo, 315211, China , Ningbo (China)
Type
Published Article
Journal
Quantum Information Processing
Publisher
Springer-Verlag
Publication Date
Aug 06, 2021
Volume
20
Issue
8
Identifiers
DOI: 10.1007/s11128-021-03199-6
Source
Springer Nature
Keywords
Disciplines
  • Article
License
Yellow

Abstract

Coherence is an important quantum resource in quantum information theory and can be quantified by entropy. We propose a class of genuine coherence quantity which is defined via the difference of entropies between the state ϱ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varrho $$\end{document} and the dephased state Δ[ϱ]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Delta [\varrho ]$$\end{document}. One can employ Tsallis-α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha $$\end{document} entropy and Rényi-α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha $$\end{document} entropy for this genuine coherence quantity and regard it as the measurement-induced entropy increment, since it can be related to the optimal average work in quantum thermodynamics with thermodynamics project measurements. We prove that the quantity is genuine coherence monotone but not genuine coherence measure. Furthermore, we present an improved coherence quantity, which can be proved as a coherence measure.

Report this publication

Statistics

Seen <100 times