Imperial College London
Alternate

Professor Halliwell

Faculty of Natural Sciences, Department of Physics

Professor in Theoretical Physics
 
 
 
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Contact

 

+44 (0)20 7594 7831j.halliwell

 
 
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Assistant

 

Mrs Graziela De Nadai-Sowrey +44 (0)20 7594 7843

 
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Location

 

521Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Halliwell:2017:10.1103/PhysRevA.96.012123,
author = {Halliwell, JJ},
doi = {10.1103/PhysRevA.96.012123},
journal = {PHYSICAL REVIEW A},
title = {Incompatible multiple consistent sets of histories and measures of quantumness},
url = {http://dx.doi.org/10.1103/PhysRevA.96.012123},
volume = {96},
year = {2017}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - In the consistent histories 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 sets of consistent histories that cannot in general be united into a single consistent set, leading to a number of counterintuitive or contrary properties if propositions from different consistent sets are combined indiscriminately. An alternative viewpoint is proposed in which multiple consistent sets are classified according to whether or not there exists any unifying probability for combinations of incompatible sets which replicates the consistent histories result when restricted to a single consistent set. A number of examples are exhibited in which this classification can be made, in some cases with the assistance of the Bell, Clauser-Horne-Shimony-Holt, or Leggett-Garg inequalities together with Fine's theorem. When a unifying probability exists logical deductions in different consistent sets can in fact be combined, an extension of the “single framework rule.” It is argued that this classification coincides with intuitive notions of the boundary between classical and quantum regimes and in particular, the absence of a unifying probability for certain combinations of consistent sets is regarded as a measure of the “quantumness” of the system. The proposed approach and results are closely related to recent work on the classification of quasiprobabilities and this connection is discussed.
AU  - Halliwell,JJ
DO  - 10.1103/PhysRevA.96.012123
PY  - 2017///
SN  - 2469-9926
TI  - Incompatible multiple consistent sets of histories and measures of quantumness
T2  - PHYSICAL REVIEW A
UR  - http://dx.doi.org/10.1103/PhysRevA.96.012123
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000406240000002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - http://hdl.handle.net/10044/1/51932
VL  - 96
ER  -
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