Superactivation of monogamy relations for nonadditive quantum correlation measures

Zhi-Xiang Jin and Shao-Ming Fei
Phys. Rev. A 99, 032343 – Published 26 March 2019

Abstract

We investigate the general monogamy and polygamy relations satisfied by quantum correlation measures. We show that there exist two real numbers α and β such that for any quantum correlation measure Q,Qx is monogamous if xα and polygamous if 0xβ for a given multipartite state ρ. For β<x<α, we show that the monogamy relation can be superactivated by finite m copies ρm of ρ for nonadditive correlation measures. As a detailed example, we use the negativity as the quantum correlation measure to illustrate such superactivation of monogamy properties. A tighter monogamy relation is presented at last.

  • Figure
  • Figure
  • Figure
  • Received 4 February 2019

DOI:https://doi.org/10.1103/PhysRevA.99.032343

©2019 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Zhi-Xiang Jin1,* and Shao-Ming Fei1,2,†

  • 1School of Mathematical Sciences, Capital Normal University, Beijing 100048, China
  • 2Max-Planck-Institute for Mathematics in the Sciences, Leipzig 04103, Germany

  • *Corresponding author: jzxjinzhixiang@126.com
  • Corresponding author: feishm@cnu.edu.cn

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 99, Iss. 3 — March 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
×