Symmetric extension in two-way quantum key distribution

Myhr, Geir Ove, Renes, Joseph M., Doherty, Andrew C. and Lutkenhaus, Norbert (2009) Symmetric extension in two-way quantum key distribution. Physical Review A: Atomic, Molecular and Optical Physics, 79 4: 042329-1-042329-10. doi:10.1103/PhysRevA.79.042329

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Author Myhr, Geir Ove
Renes, Joseph M.
Doherty, Andrew C.
Lutkenhaus, Norbert
Title Symmetric extension in two-way quantum key distribution
Journal name Physical Review A: Atomic, Molecular and Optical Physics   Check publisher's open access policy
ISSN 1050-2947
1094-1622
Publication date 2009-04-22
Year available 2009
Sub-type Article (original research)
DOI 10.1103/PhysRevA.79.042329
Open Access Status File (Publisher version)
Volume 79
Issue 4
Start page 042329-1
End page 042329-10
Total pages 10
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2010
Language eng
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.
Keyword Bell theorem
Mixed states
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
2010 Higher Education Research Data Collection
ERA 2012 Admin Only
 
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Citation counts: TR Web of Science Citation Count  Cited 8 times in Thomson Reuters Web of Science Article | Citations
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Created: Thu, 03 Sep 2009, 08:08:34 EST by Mr Andrew Martlew on behalf of School of Mathematics & Physics