Tsallis entropy, q-expectation value, and constraints on three-party quantum correlations

Jeong San Kim
Phys. Rev. A 100, 032327 – Published 19 September 2019

Abstract

We show that the mutually exclusive nature of classical and quantum correlations distributed in multiparty quantum systems can be characterized in terms of q-expectation value. Using Tsallis q entropy and q-expectation value, we first provide generalized definitions of classical and quantum correlations, and establish their trade-off relations in three-party quantum systems of arbitrary dimension with respect to q-expectation value for q1. We also provide equivalence conditions for monogamy and polygamy inequalities of quantum entanglement and quantum discord distributed in three-party quantum systems of arbitrary dimension with respect to q-expectation value for q1.

  • Figure
  • Figure
  • Figure
  • Received 30 July 2019

DOI:https://doi.org/10.1103/PhysRevA.100.032327

©2019 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Jeong San Kim*

  • Department of Applied Mathematics and Institute of Natural Sciences, Kyung Hee University, Yongin-si, Gyeonggi-do 446-701, Korea

  • *freddie1@khu.ac.kr

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 100, Iss. 3 — September 2019

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×