Noncommuting observables and local realism
نویسندگان
چکیده
منابع مشابه
Local realism cannot impose commutative structure into noncommuting quantum observables
We formally prove the ultimate statement: Local realistic theories for quantum measurements could not impose the commutative algebraic structure into the set of all quantum observables even if all quantum statistics (including every quantum state and every observable) could be reproduced by local realistic theories. Thus, it turns out that the result, using a pair of projectors, by Malley et al...
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In quantum detection theory the optimum detection operators must commute; admitting simultaneous approximate measurement of noncommuting observables cannot yield a lower Bayes cost. The lower bounds on mean square errors of parameter estimates predicted by the quantum-mechanical Cramer-Rao inequality can also not be reduced by such means.
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The structure of a local hidden variable model for experiments involving sequences of measurements is analyzed. Constraints imposed by local realism on the conditional probabilities of the outcomes of such measurement schemes are derived. Therefore, we claim that the so-called “hidden” nonlocality leads directly to a violation of the premisses of local realism. This claim is further supported b...
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Emilio Santos has argued (Santos, Studies in History and Philosophy of Physics http://arxiv-org/abs/quant-ph/0410193) that to date, no experiment has provided a loophole-free refutation of Bell’s inequalities. He believes that this provides strong evidence for the principle of local realism, and argues that we should reject this principle only if we have extremely strong evidence. However, rece...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 2005
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2005.06.032