Contextuality, Coherences, and the Quantum Cheshire Cat Paradox

ORAL

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 postselected systems.

* We thank Masataka Iinuma and Tomonori Matsushita for helpful comments on early versions of this paper. JRH thanks Prof James Ladyman and Prof John Rarity for useful earlier discussions of the quantum Cheshire cat paradox. JRH 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. MJ acknowledges support from JST SPRING, Grant Number JPMJSP2132.

Publication: Hance, J. R., Ji, M., & Hofmann, H. F. (2023). Contextuality, Coherences, and Quantum Cheshire Cats. arXiv preprint arXiv:2307.06583.

Presenters

  • Jonte R Hance

    Hiroshima University

Authors

  • Jonte R Hance

    Hiroshima University

  • Ming Ji

    Hiroshima University

  • Holger F Hofmann

    Hiroshima University