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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…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Adrian Kent

In a recent paper Griffiths claims that the consistent histories interpretation of quantum mechanics gives rise to results that contradict those obtained from the Bohm interpretation. This is in spite of the fact that both claim to provide…

Quantum Physics · Physics 2007-05-23 B. J. Hiley , O. J. E. Maroney

In a recent paper Kent has pointed out that in consistent histories quantum theory it is possible, given initial and final states, to construct two different consistent families of histories, in each of which there is a proposition that can…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Robert B. Griffiths , James B. Hartle

We review the consistent histories formulations of quantum mechanics developed by Griffiths, Omn\`es and Gell-Mann and Hartle, and describe the classification of consistent sets. We illustrate some general features of consistent sets by a…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Fay Dowker , Adrian Kent

In the histories formulation of quantum theory, sets of coarse-grained histories that are consistent obey the classical probability rules. It has been argued that these sets can describe the quasi-classical behaviour of closed quantum…

Quantum Physics · Physics 2025-12-04 Adamantia Zampeli , Georgios E. Pavlou , Petros Wallden

The best developed formulation of closed system quantum theory that handles multiple-time statements, is the consistent (or decoherent) histories approach. The most important weaknesses of the approach is that it gives rise to many…

Quantum Physics · Physics 2014-10-14 Petros Wallden

In the consistent histories formulation of quantum theory it was shown that it is possible to retrodict contrary properties. We show that this problem do not appear in our formalism of generalized contexts for quantum histories.

Quantum Physics · Physics 2015-06-19 Marcelo Losada , Roberto Laura

In the consistent histories (CH) approach to quantum theory probabilities are assigned to histories subject to a consistency condition of negligible interference. The approach has the feature that a given physical situation admits multiple…

Quantum Physics · Physics 2017-08-02 J. J. Halliwell

I review the decoherent (or consistent) histories approach to quantum mechanics, due to Griffiths, to Gell-Mann and Hartle, and to Omnes. This is an approach to standard quantum theory specifically designed to apply to genuinely closed…

General Relativity and Quantum Cosmology · Physics 2011-04-15 J. J. Halliwell

Recently, Griffiths presented a generalization of the consistent history approach to quantum mechanics. I can easily construct all possible complete families satisfying Griffiths' "noninterference conditions". Since only trivial families…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lajos Diosi

In response to a recent rebuttal of [1] presented in [2], we defend the claim that the Consistent Histories formulation of quantum mechanics does not solve the measurement problem. In order to do so, we argue that satisfactory solutions to…

Quantum Physics · Physics 2016-06-07 E. Okon , D. Sudarsky

In this work a generalization of the consistent histories approach to quantum mechanics is presented. We first critically review the consistent histories approach to nonrelativistic quantum mechanics in a mathematically rigorous way and…

Quantum Physics · Physics 2009-10-28 Oliver Rudolph

The foundations of quantum mechanics have been plagued by controversy throughout the 85 year history of the field. It is argued that lack of clarity in the formulation of basic philosophical questions leads to unnecessary obscurity and…

Quantum Physics · Physics 2013-11-13 P. C. Hohenberg

A central principle of consistent histories quantum theory, the requirement that quantum descriptions be based upon a single framework (or family), is employed to show that there is no conflict between consistent histories and a…

Quantum Physics · Physics 2009-10-31 Robert B. Griffiths

The relationship between quantum logic, standard propositional logic, and the (consistent) histories rules for quantum reasoning is discussed. It is shown that Maudlin's claim [Am. J. Phys. 79 (2011) 954] that the histories approach is…

Quantum Physics · Physics 2011-10-06 Robert B. Griffiths

A recent claim by Bassi and Ghirardi that the consistent (decoherent) histories approach cannot provide a realistic interpretation of quantum theory is shown to be based upon a misunderstanding of the single-framework rule: they have…

Quantum Physics · Physics 2007-05-23 Robert B. Griffiths

The consistent histories formulation of the quantum theory of a closed system with pure initial state defines an infinite number of incompatible consistent sets, each of which gives a possible description of the physics. We investigate the…

General Relativity and Quantum Cosmology · Physics 2011-08-04 Adrian Kent , Jim McElwaine

We critically evaluate the treatment of the notion of measurement in the Consistent Histories approach to quantum mechanics. We find such a treatment unsatisfactory because it relies, often implicitly, on elements external to those provided…

Quantum Physics · Physics 2016-06-07 Elias Okon , Daniel Sudarsky

It will be presented in this chapter a historical account of the consistent histories interpretation of quantum mechanics based on primary and secondary literature. Firstly, the formalism of the consistent histories approach will be…

History and Philosophy of Physics · Physics 2021-03-10 Gustavo Rodrigues Rocha , Dean Rickles , Florian J. Boge

The decoherent (consistent) histories formalism has been proposed as a means of eliminating measurements as a fundamental concept in quantum mechanics. In this formalism, probabilities can be assigned to any description which satisfies a…

Quantum Physics · Physics 2007-05-23 Todd A. Brun
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