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

@inproceedings{Halliwell:2019:1/012008,
author = {Halliwell, JJ},
doi = {1/012008},
pages = {1--12},
publisher = {IOP PUBLISHING LTD},
title = {Necessary and sufficient conditions for macrorealism using two- and three-time Leggett-Garg inequalities},
url = {http://dx.doi.org/10.1088/1742-6596/1275/1/012008},
year = {2019}
}
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RIS format (EndNote, RefMan)

TY  - CPAPER
AB  - The Leggett-Garg (LG) inequalities were introduced, as a temporal parallel of the Bell inequalities, to test macroscopic realism – the view that a macroscopic system evolving in time possesses definite properties which can be determined without disturbing the future or past state. The original LG inequalities are only a necessary condition for macrorealism, and are therefore not a decisive test. We argue, for the case of measurements of a single dichotomic variable Q, that when the original four three-time LG inequalities are augmented with a set of twelve two-time inequalities also of the LG form, Fine's theorem applies and these augmented conditions are then both necessary and sufficient. A comparison is carried out with the alternative necessary and sufficient conditions for macrorealism based on no-signaling in time conditions which ensure that all probabilities for Q at one and two times are independent of whether earlier or intermediate measurements are made. We argue that the two tests differ in their implementation of the key requirement of non-invasive measurability so are testing different notions of macrorealism, and these notions are elucidated.
AU  - Halliwell,JJ
DO  - 1/012008
EP  - 12
PB  - IOP PUBLISHING LTD
PY  - 2019///
SN  - 1742-6588
SP  - 1
TI  - Necessary and sufficient conditions for macrorealism using two- and three-time Leggett-Garg inequalities
UR  - http://dx.doi.org/10.1088/1742-6596/1275/1/012008
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000539153200008&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://iopscience.iop.org/article/10.1088/1742-6596/1275/1/012008
UR  - http://hdl.handle.net/10044/1/83681
ER  -
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