Threshold bounds for noisy bipartite states

Details Threshold bounds for noisy bipartite states Threshold bounds for noisy bipartite states

2005-12-28

arxiv.org/abs/quant-ph/0512245v2

J. Phys. A: Math. Gen. 39 (2006), 5115-5123.

Physics

Quantum Physics

9 pages; v.2: minor editing corrections; to appear in J. Phys. A: Math. Gen

Scientific paper

10.1088/0305-4470/39/18/024

For a nonseparable bipartite quantum state violating the Clauser-Horne-Shimony-Holt (CHSH) inequality, we evaluate amounts of noise breaking the quantum character of its statistical correlations under any generalized quantum measurements of Alice and Bob. Expressed in terms of the reduced states, these new threshold bounds can be easily calculated for any concrete bipartite state. A noisy bipartite state, satisfying the extended CHSH inequality and the perfect correlation form of the original Bell inequality for any quantum observables, neither necessarily admits a local hidden variable model nor exhibits the perfect correlation of outcomes whenever the same quantum observable is measured on both "sides".

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