Physics – Quantum Physics
Scientific paper
2005-06-24
IEEE Trans. Inf. Theory 54, 2621 (2008)
Physics
Quantum Physics
5 pages, ReVTex4
Scientific paper
10.1109/TIT.2008.921709
We provide a class of bound entangled states that have positive distillable secure key rate. The smallest state of this kind is $4 \otimes 4$, which shows that peculiar security contained in bound entangled states does not need high dimensional systems. We show, that for these states a positive key rate can be obtained by {\it one-way} Devetak-Winter protocol. Subsequently the volume of bound entangled key-distillable states in arbitrary dimension is shown to be nonzero. We provide a scheme of verification of cryptographic quality of experimentally prepared state in terms of local observables. Proposed set of 7 collective settings is proven to be optimal in number of settings.
Horodecki Karol
Horodecki Michal
Horodecki Pawel
Pankowski Lukasz
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