Consistent Sets Yield Contrary Inferences in Quantum Theory
نویسندگان
چکیده
منابع مشابه
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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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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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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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1997
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.78.2874