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Quantum 2.0 Conference and Exhibition

Using Quantum Cheshire Cats to explore Contextuality and Quantum Coherence

Jonte R. Hance, Ming Ji, Holger Friedrich Hofmann

Published Jan 1, 2024• 0 citations
Publisher

Abstract

We analyse the quantum Cheshire cat using contextuality theory. The results shed a surprising new light on the relation between quantum paradoxes, weak values, and contextuality, a key resource for quantum computing.
DOI
10.1364/quantum.2024.qw3a.7

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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.
Quantum entanglement serves as an important resource for quantum processing. In the original thought experiment of the Quantum Cheshire Cat, the physical properties of the cat (state) can be decoupled from its quantum entities. How do quantum entanglement and weak values affect such thought experiment? Here, we conceive a new thought experiment that exploits quantum entanglement with weak (value) measurement. Specifically, we ask: can two entangled particles exchange physical and quantum properties? We answer the question in the affirmative.