Secure key from bound entanglement

Details Secure key from bound entanglement Secure key from bound entanglement

2003-09-14

arxiv.org/abs/quant-ph/0309110v2

Phys. Rev. Lett. 94, 160502 (2005)

Physics

Quantum Physics

4 pages, no figures, to appear in PRL

Scientific paper

10.1103/PhysRevLett.94.160502

We characterize the set of shared quantum states which contain a cryptographically private key. This allows us to recast the theory of privacy as a paradigm closely related to that used in entanglement manipulation. It is shown that one can distill an arbitrarily secure key from bound entangled states. There are also states which have less distillable private key than the entanglement cost of the state. In general the amount of distillable key is bounded from above by the relative entropy of entanglement. Relationships between distillability and distinguishability are found for a class of states which have Bell states correlated to separable hiding states. We also describe a technique for finding states exhibiting irreversibility in entanglement distillation.

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