Bound entanglement maximally violating Bell inequalities: quantum entanglement is not equivalent to quantum security

Details Bound entanglement maximally violating Bell inequalities: quantum entanglement is not equivalent to quantum security Bound entanglement maximally violating Bell inequalities: quantum entanglement is not equivalent to quantum security

2004-05-30

arxiv.org/abs/quant-ph/0405187v2

Physical Review A 74, 010305(R) (2006)

Physics

Quantum Physics

Slightly improved version, title changed

Scientific paper

10.1103/PhysRevA.74.010305

It is shown that Smolin four-qubit bound entangled states [Phys. Rev. A, 63 032306 (2001)] can maximally violate two-setting Bell inequality similar to standard CHSH inequality. Surprisingly this entanglement does not allow for secure key distillation, so neither entanglement nor violation of Bell inequalities implies quantum security. It is also pointed out how that kind of bound entanglement can be useful in reducing communication complexity.

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