A Zoology of Bell inequalities resistant to detector inefficiency

Details A Zoology of Bell inequalities resistant to detector inefficiency A Zoology of Bell inequalities resistant to detector inefficiency

2002-05-20

arxiv.org/abs/quant-ph/0205130v2

Phys. Rev. A 66, 052112 (2002)

Physics

Quantum Physics

12 pages, revtex. Appendix completed, minor revisions

Scientific paper

10.1103/PhysRevA.66.052112

We derive both numerically and analytically Bell inequalities and quantum measurements that present enhanced resistance to detector inefficiency. In particular we describe several Bell inequalities which appear to be optimal with respect to inefficient detectors for small dimensionality d=2,3,4 and 2 or more measurement settings at each side. We also generalize the family of Bell inequalities described in Collins et all (Phys. Rev. Lett. 88, 040404) to take into account the inefficiency of detectors. In addition we consider the possibility for pairs of entangled particles to be produced with probability less than one. We show that when the pair production probability is small, one must in general use different Bell inequalities than when the pair production probability is high.

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