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Entanglement Theory Quantum Correlations

Distributed Compression and Multiparty Squashed Entanglement

arXiv
Authors: David Avis, Patrick Hayden, Ivan Savov

Year

2007

Paper ID

49635

Status

Preprint

Abstract Read

~2 min

Abstract Words

114

Citations

N/A

Abstract

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.

Why This Paper Matters

  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
  • It adds a 2007 reference point for readers tracking recent quantum research.
  • We study a protocol in which many parties use quantum communication to transfer a shared state to a receiver without communicating with each other.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0707.2792 [2] arXiv https://arxiv.org/abs/0707.2792 [3] Publisher https://arxiv.org/abs/0707.2792

Local Citation Graph (Related-Paper Links)

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External citation index: OpenAlex citation signal

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