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Concentrating tripartite quantum information

Streltsov, Alexander; Lee, Soojoon; Adesso, Gerardo


Soojoon Lee


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.


Streltsov, A., Lee, S., & Adesso, G. (2015). Concentrating tripartite quantum information. Physical Review Letters, 115,

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
Public URL
Publisher URL
Copyright Statement Copyright information regarding this work can be found at the following address:


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Copyright Statement
Copyright information regarding this work can be found at the following address:

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