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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

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

J. C. Garrison

R. Y. Chiao

Oxford University Press

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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