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  Symmetric extension in two-way quantum key distribution

Myhr, G. O., Renes, J. M., Doherty, A. C., & Luetkenhaus, N. (2009). Symmetric extension in two-way quantum key distribution. PHYSICAL REVIEW A, 79(4): 042329. doi:10.1103/PhysRevA.79.042329.

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 Creators:
Myhr, Geir Ove1, Author
Renes, Joseph M.1, Author
Doherty, Andrew C.1, Author
Luetkenhaus, Norbert2, Author              
Affiliations:
1external, ou_persistent22              
2Max Planck Research Group, Max Planck Institute for the Science of Light, Max Planck Society, ou_2364712              

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Free keywords: MIXED STATES; CRYPTOGRAPHY; INFORMATIONOptics; Physics; Bell theorem; cryptographic protocols; quantum cryptography; quantum entanglement;
 Abstract: We introduce symmetric extensions of bipartite quantum states as a tool for analyzing protocols that distill secret key from quantum correlations. Whether the correlations are coming from a prepare-and-measure quantum key distribution scheme or from an entanglement-based scheme, the protocol has to produce effective states without a symmetric extension in order to succeed. By formulating the symmetric extension problem as a semidefinite program, we solve the problem for Bell-diagonal states. Applying this result to the six-state and Bennett-Brassard 1984 schemes, we show that for the entangled states that cannot be distilled by current key distillation procedures, the failure can be understood in terms of a failure to break a symmetric extension.

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Language(s): eng - English
 Dates: 2009
 Publication Status: Published online
 Pages: 10
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Degree: -

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Title: PHYSICAL REVIEW A
Source Genre: Journal
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Publ. Info: ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA : AMER PHYSICAL SOC
Pages: - Volume / Issue: 79 (4) Sequence Number: 042329 Start / End Page: - Identifier: ISSN: 1050-2947