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Quantum Optics$
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John Garrison and Raymond Chiao

Print publication date: 2008

Print ISBN-13: 9780198508861

Published to Oxford Scholarship Online: September 2008

DOI: 10.1093/acprof:oso/9780198508861.001.0001

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Bell's theorem and its optical tests

Bell's theorem and its optical tests

Chapter:
(p.578) 19 Bell's theorem and its optical tests
Source:
Quantum Optics
Author(s):

J. C. Garrison

R. Y. Chiao

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198508861.003.0020

This chapter begins with a review of the ideas of locality and realism which provide the basis for the Einstein–Podolsky–Rosen paradox. The general conditions defining a local, realistic theory are stated, and then used to prove Bell's theorem, which yields — for any local, realistic theory — an inequality satisfied by certain linear combinations of correlations. It is shown that this inequality is violated by quantum theory and by experiment. The chapter ends with a discussion of possible experimental loopholes and the alternative Greenberger–Horne–Zeilinger (GHZ) state, which would, in principle, make the use of statistical correlations unnecessary.

Keywords:   locality, realism, Einstein–Podolsky–Rosen paradox, local, realistic theory, Bell's theorem, experimental loopholes, GHZ state

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