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Logical Pre- and Post-Selection Paradoxes, Measurement-Disturbance and Contextuality
Author(s) -
Matthew Leifer,
Robert W. Spekkens
Publication year - 2005
Publication title -
international journal of theoretical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.337
H-Index - 65
eISSN - 0020-7748
pISSN - 1572-9575
DOI - 10.1007/s10773-005-8975-1
Subject(s) - kochen–specker theorem , mathematical proof , hidden variable theory , class (philosophy) , mathematics , selection (genetic algorithm) , variable (mathematics) , quantum , disturbance (geology) , theoretical physics , mathematical economics , epistemology , computer science , physics , philosophy , quantum mechanics , artificial intelligence , mathematical analysis , paleontology , geometry , biology
Many seemingly paradoxical effects are known in the predictions for outcomesof measurements made on pre- and post-selected quantum systems. A class of sucheffects, which we call ``logical pre- and post-selection paradoxes'', bear astriking resemblance to proofs of the Bell-Kochen-Specker theorem, whichsuggests that they demonstrate the contextuality of quantum mechanics. Despitethe apparent similarity, we show that such effects can occur in noncontextualhidden variable theories, provided measurements are allowed to disturb thevalues of the hidden variables.Comment: 9 pages, paper presented at Quantum Structures 200

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