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Quantum Weirdness$
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William J. Mullin

Print publication date: 2017

Print ISBN-13: 9780198795131

Published to Oxford Scholarship Online: March 2017

DOI: 10.1093/acprof:oso/9780198795131.001.0001

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Bell’s Theorem and the Mermin Machine

Bell’s Theorem and the Mermin Machine

(p.56) 7 Bell’s Theorem and the Mermin Machine
Quantum Weirdness

William J. Mullin

Oxford University Press

Chapter 7 discusses the Bell theorem and its demonstration using Mermin’s machine. The Bell theorem proves that a theory based on local realism (one with hidden variables) must satisfy certain inequalities; quantum mechanics predicts these are violated. Mermin designed a gedanken experiment having a double-particle source and two detectors each having three settings, which can correspond to measurements along three spin orientations. A simple hidden-variable assumption is shown to violate quantum predictions. The CHSH inequality, a form of the general Bell inequality, is proved. This relation has been shown to be violated experimentally in quantum experiments, implying that quantum mechanics indeed has “spooky action at a distance.” Many experiments over the years had loopholes, ways used to explain away the data in order to preserve local reality, but recent experiments have been able to eliminate most of these.

Keywords:   Bell theorem, Bell inequality, CHSH inequality, hidden variable, loophole, Mermin’s machine, local realism, spooky action

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