Concentrating tripartite quantum information

Streltsov, Alexander and Lee, Soojoon and Adesso, Gerardo (2015) Concentrating tripartite quantum information. Physical Review Letters, 115 . 030505/1-030505/5. ISSN 1079-7114

[img]
Preview
PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (211kB) | Preview

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.

Item Type: Article
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1103/PhysRevLett.115.030505
Depositing User: Adesso, Gerardo
Date Deposited: 24 Feb 2017 13:20
Last Modified: 24 Feb 2017 14:35
URI: http://eprints.nottingham.ac.uk/id/eprint/40772

Actions (Archive Staff Only)

Edit View Edit View