Foundations of Physics 33 (10):1423-1459 (2003)

Abstract
Any attempt to introduce probabilities into quantum mechanics faces difficulties due to the mathematical structure of Hilbert space, as reflected in Birkhoff and von Neumann's proposal for a quantum logic. The (consistent or decoherent) histories solution is provided by its single framework rule, an approach that includes conventional (Copenhagen) quantum theory as a special case. Mermin's Ithaca interpretation addresses the same problem by defining probabilities which make no reference to a sample space or event algebra (“correlations without correlata”). But this leads to severe conceptual difficulties, which almost inevitably couple quantum theory to unresolved problems of human consciousness. Using histories allows a sharper quantum description than is possible with a density matrix, suggesting that the latter provides an ensemble rather than an irreducible single-system description as claimed by Mermin. The histories approach satisfies the first five of Mermin's desiderata for a good interpretation of quantum mechanics, including Einstein locality, but the Ithaca interpretation seems to have difficulty with the first (independence of observers) and the third (describing individual systems)
Keywords Ithaca interpretation  quantum probabilities  quantum histories
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DOI 10.1023/A:1026092212820
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References found in this work BETA

The Logic of Quantum Mechanics.Garrett Birkhoff & John von Neumann - 1937 - Journal of Symbolic Logic 2 (1):44-45.
Against ”Measurement'.J. S. Bell - 2004 - In Speakable and Unspeakable in Quantum Mechanics. Cambridge University Press. pp. 213--231.

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Citations of this work BETA

A Critique of Mohrhoff's Interpretation of Quantum Mechanics.Afshin Shafiee, Maryam Jafar-Aghdami & Mehdi Golshani - 2006 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 37 (2):316-329.
The Wave Function Collapse as an Effect of Field Quantization.K. Lewin - 2009 - Foundations of Physics 39 (10):1145-1160.
A Critique of Mohrhoff's Interpretation of Quantum Mechanics.Afshin Shafiee, Maryam Jafar-Aghdami & Mehdi Golshani - 2006 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 37 (2):316-329.

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