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Entanglement Theory Quantum Correlations

A Four-Round LOCC Protocol Outperforms All Two-Round Protocols in Reducing the Entanglement Cost for A Distributed Quantum Information Processing

arXiv
Authors: Eyuri Wakakuwa, Akihito Soeda, Mio Murao

Year

2016

Paper ID

7775

Status

Preprint

Abstract Read

~2 min

Abstract Words

111

Citations

N/A

Abstract

We prove that there is a trade-off relation between the entanglement cost and the number of rounds of communication, for two distant parties to accomplish a bidirectional quantum information task by local operations and classical communication (LOCC). We consider an implementation of a class of two-qubit controlled-unitary gate by LOCC assisted by shared entanglement, in an information theoretical scenario of asymptotically many input pairs and vanishingly small error. We prove the trade-off relation by showing that one ebit of entanglement per pair is necessary to be consumed for implementing the unitary by any two-round protocol, whereas the entanglement cost by a four-round protocol is strictly smaller than one ebit per pair.

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  • We prove that there is a trade-off relation between the entanglement cost and the number of rounds of communication, for two distant parties to accomplish a bidirectional...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1608.07461 [2] arXiv https://arxiv.org/abs/1608.07461 [3] Publisher https://arxiv.org/abs/1608.07461

Local Citation Graph (Related-Paper Links)

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