Quantum states representing perfectly secure bits are always distillable

Physics – Quantum Physics

Scientific paper

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RevTeX, 5 pages, published version

Scientific paper

10.1103/PhysRevA.74.010302

It is proven that recently introduced states with perfectly secure bits of cryptographic key (private states representing secure bit) [K. Horodecki et al., Phys. Rev. Lett. 94, 160502 (2005)] as well as its multipartite and higher dimension generalizations always represent distillable entanglement. The corresponding lower bounds on distillable entanglement are provided. We also present a simple alternative proof that for any bipartite quantum state entanglement cost is an upper bound on distillable cryptographic key in bipartite scenario.

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