Properties of Consistent Histories

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Properties of consistent histories.

We describe some properties of consistent sets of histories in the Gell-Mann–Hartle formalism, and give an example to illustrate that one cannot recover the standard predictions, retrodictions and inferences of quasiclassical physics using the criterion of consistency alone. PACS numbers: 03.65.Bz

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Sheafifying Consistent Histories

Isham’s topos-theoretic perspective on the logic of the consistent-histories theory [34] is extended in two ways. First, the presheaves of consistent sets of history propositions in their corresponding topos originally proposed in [34] are endowed with a Vietoristype of topology and subsequently they are sheafified with respect to it. The category resulting from this sheafification procedure is...

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Numerous experiments pertaining to quantum nonlocality are underway or have recently been completed. A certain theoretical defect in the linkage between these experiments and nonlocality is discussed. This defect consists of the use of a reality concept that conflicts with the quantum precepts. This concept could be a hidden-variable assumption, or an Einstein reality assumption. A proof that a...

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Consistent History Approach to quantum theory, introduced in explicit form by Griffiths [1], provides an extension of the interpretation of the formalism of quantum mechanics. While standard quantum theory is based on the concept of event, represented by a projection operator E of the Hilbert spaceH describing the system, CHA is based on the concept of history, which is a finite ordered sequenc...

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A system of quantum reasoning for a closed system is developed by treating nonrelativistic quantum mechanics as a stochastic theory. The sample space corresponds to a decomposition, as a sum of orthogonal projectors, of the identity operator on a Hilbert space of histories. Provided a consistency condition is satisfied, the corresponding Boolean algebra of histories, called a framework, can be ...

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ژورنال

عنوان ژورنال: Physical Review Letters

سال: 1995

ISSN: 0031-9007,1079-7114

DOI: 10.1103/physrevlett.75.3038