Disentanglement Cost of Quantum States

Mario Berta and Christian Majenz
Phys. Rev. Lett. 121, 190503 – Published 9 November 2018

Abstract

We show that the minimal rate of noise needed to catalytically erase the entanglement in a bipartite quantum state is given by the regularized relative entropy of entanglement. This offers a solution to the central open question raised in [Groisman et al., Phys. Rev. A 72, 032317 (2005)] and complements their main result that the minimal rate of noise needed to erase all correlations is given by the quantum mutual information. We extend our discussion to the tripartite setting where we show that an asymptotic rate of noise given by the regularized relative entropy of recovery is sufficient to catalytically transform the state to a locally recoverable version of the state.

  • Received 27 September 2017

DOI:https://doi.org/10.1103/PhysRevLett.121.190503

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Mario Berta1 and Christian Majenz2,3

  • 1Department of Computing, Imperial College London, SW7 2AZ London, United Kingdom
  • 2Institute for Language, Logic and Computation, University of Amsterdam, 1098 XG Amsterdam, Netherlands
  • 3QuSoft, Centrum Wiskunde & Informatica, 1098 XG Amsterdam, Netherlands

See Also

Quantifying Resources in General Resource Theory with Catalysts

Anurag Anshu, Min-Hsiu Hsieh, and Rahul Jain
Phys. Rev. Lett. 121, 190504 (2018)

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 121, Iss. 19 — 9 November 2018

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 Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×