Contextuality, coherences, and quantum Cheshire cats

Jonte R Hance; Ming Ji; Holger Hofmann

doi:10.1088/1367-2630/ad0bd4

Contextuality, coherences, and quantum Cheshire cats

Jonte R Hance^*, Ming Ji, Holger Hofmann^*

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

2 Citations (Scopus)

Abstract

We analyse the quantum Cheshire cat using contextuality theory, to see if this can tell us anything about how best to interpret this paradox. We show that this scenario can be analysed using the relation between three different measurements, which seem to result in a logical contradiction. We discuss how this contextual behaviour links to weak values, and coherences between prohibited states. Rather than showing a property of the particle is disembodied, the quantum Cheshire cat instead demonstrates the effects of these coherences, which are typically found in pre- and post-selected systems.

Original language	English
Article number	113028
Number of pages	14
Journal	New Journal of Physics
Volume	25
Issue number	11
DOIs	https://doi.org/10.1088/1367-2630/ad0bd4
Publication status	Published - 17 Nov 2023

Bibliographical note

Funding Information:
We thank Masataka Iinuma and Tomonori Matsushita for helpful comments on early versions of this paper. J R H thanks Prof James Ladyman and Prof John Rarity for useful earlier discussions of the quantum Cheshire cat paradox. J R H acknowledges support from Hiroshima University’s Phoenix Postdoctoral Fellowship for Research, the University of York’s EPSRC DTP Grant EP/R513386/1, and the Quantum Communications Hub funded by EPSRC Grants EP/M013472/1 and EP/T001011/1. M J acknowledges support from JST SPRING, Grant Number JPMJSP2132.

Publisher Copyright:
© 2023 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft.

Structured keywords

Centre for Science and Philosophy
Photonics and Quantum
QETLabs
Bristol Quantum Information Institute

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10.1088/1367-2630/ad0bd4Licence: CC BY

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QComms2: 8031 EP/T001011/1 Quantum Communication Hub via York
Rarity, J. G., Nejabati, R., Simeonidou, D., Sahin, D., Kanellos, G., Aktas, D. V. C., Joshi, S. K., Lowndes, D. L. D., Venkatachalam, N., Hugues Salas, E., Woodland, E. M., Erven, C., Zhang, P., Hance, J. R., Clark, M. J. H., Rosenfeld, L. M., Hastings, E. M. J., Johlinger, F. B., Wang, R., Stange Tessinari, R., Solomons, N. R., Fasoulakis, T. & Alia, O.
1/12/19 → 30/11/24
Project: Research

Cite this

@article{d13253f984e3476dac566b8a314deebc,

title = "Contextuality, coherences, and quantum Cheshire cats",

abstract = "We analyse the quantum Cheshire cat using contextuality theory, to see if this can tell us anything about how best to interpret this paradox. We show that this scenario can be analysed using the relation between three different measurements, which seem to result in a logical contradiction. We discuss how this contextual behaviour links to weak values, and coherences between prohibited states. Rather than showing a property of the particle is disembodied, the quantum Cheshire cat instead demonstrates the effects of these coherences, which are typically found in pre- and post-selected systems.",

author = "Hance, {Jonte R} and Ming Ji and Holger Hofmann",

note = "Funding Information: We thank Masataka Iinuma and Tomonori Matsushita for helpful comments on early versions of this paper. J R H thanks Prof James Ladyman and Prof John Rarity for useful earlier discussions of the quantum Cheshire cat paradox. J R H acknowledges support from Hiroshima University{\textquoteright}s Phoenix Postdoctoral Fellowship for Research, the University of York{\textquoteright}s EPSRC DTP Grant EP/R513386/1, and the Quantum Communications Hub funded by EPSRC Grants EP/M013472/1 and EP/T001011/1. M J acknowledges support from JST SPRING, Grant Number JPMJSP2132. Publisher Copyright: {\textcopyright} 2023 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft.",

year = "2023",

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doi = "10.1088/1367-2630/ad0bd4",

language = "English",

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AU - Hance, Jonte R

AU - Ji, Ming

AU - Hofmann, Holger

N1 - Funding Information: We thank Masataka Iinuma and Tomonori Matsushita for helpful comments on early versions of this paper. J R H thanks Prof James Ladyman and Prof John Rarity for useful earlier discussions of the quantum Cheshire cat paradox. J R H acknowledges support from Hiroshima University’s Phoenix Postdoctoral Fellowship for Research, the University of York’s EPSRC DTP Grant EP/R513386/1, and the Quantum Communications Hub funded by EPSRC Grants EP/M013472/1 and EP/T001011/1. M J acknowledges support from JST SPRING, Grant Number JPMJSP2132. Publisher Copyright: © 2023 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft.

PY - 2023/11/17

Y1 - 2023/11/17

N2 - We analyse the quantum Cheshire cat using contextuality theory, to see if this can tell us anything about how best to interpret this paradox. We show that this scenario can be analysed using the relation between three different measurements, which seem to result in a logical contradiction. We discuss how this contextual behaviour links to weak values, and coherences between prohibited states. Rather than showing a property of the particle is disembodied, the quantum Cheshire cat instead demonstrates the effects of these coherences, which are typically found in pre- and post-selected systems.

AB - We analyse the quantum Cheshire cat using contextuality theory, to see if this can tell us anything about how best to interpret this paradox. We show that this scenario can be analysed using the relation between three different measurements, which seem to result in a logical contradiction. We discuss how this contextual behaviour links to weak values, and coherences between prohibited states. Rather than showing a property of the particle is disembodied, the quantum Cheshire cat instead demonstrates the effects of these coherences, which are typically found in pre- and post-selected systems.

U2 - 10.1088/1367-2630/ad0bd4

DO - 10.1088/1367-2630/ad0bd4

M3 - Article (Academic Journal)

SN - 1367-2630

VL - 25

JO - New Journal of Physics

JF - New Journal of Physics

IS - 11

M1 - 113028

ER -

Contextuality, coherences, and quantum Cheshire cats

Abstract

Bibliographical note

Structured keywords

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Projects

QComms2: 8031 EP/T001011/1 Quantum Communication Hub via York

Cite this