Abstract

It is shown that (i) all entangled states can be mapped by single-copy measurements into probability distributions containing secret correlations, and (ii) if a probability distribution obtained from a quantum state contains secret correlations, then this state has to be entangled. These results prove the existence of a two-way connection between secret and quantum correlations in the process of preparation. They also imply that either it is possible to map any bound entangled state into a distillable probability distribution or bipartite bound information exists.

Keywords

State (computer science)Probability distributionQuantum stateUpper and lower boundsBipartite graphStatistical physicsConnection (principal bundle)Quantum informationW stateQuantumPhysicsQuantum mechanicsDiscrete mathematicsMathematicsQuantum entanglementAlgorithmStatistics

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Publication Info

Year
2005
Type
article
Volume
94
Issue
2
Pages
020501-020501
Citations
51
Access
Closed

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Antonio Acín, Nicolas Gisin (2005). Quantum Correlations and Secret Bits. Physical Review Letters , 94 (2) , 020501-020501. https://doi.org/10.1103/physrevlett.94.020501

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DOI
10.1103/physrevlett.94.020501