9905084v1

related topics
{bell, inequality, local}
{theory, mechanics, state}
{particle, mechanics, theory}
{let, theorem, proof}
{photon, photons, single}
{state, phys, rev}
{cos, sin, state}

Bayesian analysis of Bell inequalities

Asher Peres

abstract: Statistical tests are needed to determine experimentally whether a hypothetical theory based on local realism can be an acceptable alternative to quantum mechanics. It is impossible to rule out local realism by a single test, as often claimed erroneously. The ``strength'' of a particular Bell inequality is measured by the number of trials that are needed to invalidate local realism at a given confidence level. Various versions of Bell's inequality are compared from this point of view. It is shown that Mermin's inequality for Greenberger-Horne-Zeilinger states requires fewer tests than the Clauser-Horne-Shimony-Holt inequality or than its chained variants applied to a singlet state, and also than Hardy's proof of nonlocality.

oai_identifier:
oai:arXiv.org:quant-ph/9905084
categories:
quant-ph
comments:
8 pages, LaTeX, PostScript figue on separate page
arxiv_id:
quant-ph/9905084
journal_ref:
Fortsch.Phys. 48 (2000) 531-535
created:
1999-05-25

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