Consistent histories and contrary inferences

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Consistent Histories and Contrary Inferences

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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Consistent Sets and Contrary Inferences: Reply to Griffiths and Hartle

It was pointed out recently [A. Kent, Phys. Rev. Lett. 78 (1997) 2874] that the consistent histories approach allows contrary inferences to be made from the same data, corresponding to commuting orthogonal projections in different consistent sets. To many, this seems undesirable in a theory of physical inferences. It also raises a specific problem for the consistent histories formalism, since t...

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Consistent Sets Yield Contrary Inferences in Quantum Theory

In the consistent histories formulation of quantum theory, the probabilistic predictions and retrodictions made from observed data depend on the choice of a consistent set. We show that this freedom allows the formalism to retrodict contrary propositions which correspond to orthogonal commuting projections and which each have probability one. We also show that the formalism makes contrary proba...

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Nonlocality, Counterfactuals, and Consistent Histories *

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 histories and quantum reasoning.

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: Brazilian Journal of Physics

سال: 2005

ISSN: 0103-9733

DOI: 10.1590/s0103-97332005000300020