Concentrating tripartite quantum information

Streltsov, Alexander; Lee, Soojoon; Adesso, Gerardo

Abstract

We introduce the concentrated information of tripartite quantum states. For three parties Alice, Bob, and Charlie, it is defined as the maximal mutual information achievable between Alice and Charlie via local operations and classical communication performed by Charlie and Bob. We derive upper and lower bounds to the concentrated information, and obtain a closed expression for it on several classes of states including arbitrary pure tripartite states in the asymptotic setting. We show that distillable entanglement, entanglement of assistance, and quantum discord can all be expressed in terms of the concentrated information, thus revealing its role as a unifying informational primitive. We finally investigate quantum state merging of mixed states with and without additional entanglement. The gap between classical and quantum concentrated information is proven to be an operational figure of merit for mixed state merging in absence of additional entanglement. Contrary to pure state merging, our analysis shows that classical communication in both directions can provide advantage for merging of mixed states.

Citation

Streltsov, A., Lee, S., & Adesso, G. (2015). Concentrating tripartite quantum information. Physical Review Letters, 115, Article 030505. https://doi.org/10.1103/PhysRevLett.115.030505

• Journal Article Type: Article
• Acceptance Date: Jun 29, 2015
• Publication Date: Jul 17, 2015
• Deposit Date: Feb 24, 2017
• Publicly Available Date: Feb 24, 2017
• Journal: Physical Review Letters
• Print ISSN: 0031-9007
• Electronic ISSN: 1079-7114
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 115
• Article Number: 030505
• DOI: https://doi.org/10.1103/PhysRevLett.115.030505
• Public URL: https://nottingham-repository.worktribe.com/output/756698
• Publisher URL: http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.115.030505
• Contract Date: Feb 24, 2017