Two destructive effects of decoherence on Bell inequality violation

Details Two destructive effects of decoherence on Bell inequality violation Two destructive effects of decoherence on Bell inequality violation

2008-12-19

arxiv.org/abs/0812.3736v3

Phys. Rev. A 79, 054101 (2009)

Physics

Quantum Physics

v2: added results for decoherence due to interactions of both particles + minor changes; v3: minor changes

Scientific paper

10.1103/PhysRevA.79.054101

We consider a system of two spin-1/2 particles, initially in an entangled Bell state. If one of the particles is interacting with an environment (e.g. a collection of N independent spins), the two-particle system undergoes decoherence. Using a simple model of decoherence, we show that this process has two consequences. First, the maximal amount by which the CHSH inequality is violated decays to zero. Second, the set of directions of measurement for which the inequality is violated is reduced in the course of decoherence. The volume of that set is bounded above by C|r|^2, where r is the decoherence factor. We obtain similar results for the case when each of the two particles is in interaction with a separate environment.

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