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Distributed compression and multiparty squashed entanglement

David Avis1, Patrick Hayden1 and Ivan Savov2

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We study a protocol in which many parties use quantum communication to transfer a shared state to a receiver without communicating with each other. This protocol is a multiparty version of the fully quantum Slepian–Wolf protocol for two senders and arises through the repeated application of the two-sender protocol. We describe bounds on the achievable rate region for the distributed compression problem. The inner bound arises by expressing the achievable rate region for our protocol in terms of its vertices and extreme rays and, equivalently, in terms of facet inequalities. We also prove an outer bound on all possible rates for distributed compression based on the multiparty squashed entanglement, a measure of multiparty entanglement.


PACS

03.67.Hk Quantum communication

03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)

84.40.Ua Telecommunications: signal transmission and processing; communication satellites

MSC

81Pxx Axiomatics, foundations, philosophy

Subjects

Computational physics

Electronics and devices

Quantum information and quantum mechanics

Dates

Issue 11 (21 March 2008)

Received 4 October 2007, in final form 4 February 2008

Published 4 March 2008



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