Can Two Quantum Cheshire Cats Exchange Grins?

Abstract

A common-sense perception of a physical system is that it is inseparable from its physical properties. The notion of Quantum Cheshire Cat challenges this, as far as quantum systems are concerned. It shows that a quantum system can be decoupled from its physical property under suitable pre and postselections. However, in the Quantum Cheshire Cat setup, the decoupling is not permanent. The photon, for example, and its circular polarization is separated and then recombined. In this paper, we present a thought experiment where we decouple two photons from their respective polarizations and then interchange them during recombination. Thus, our proposal shows that the belongingness of a property for a physical system is very volatile in the quantum world. This raises the question of reality of an observable at a much deeper level.

arXiv comment6 pages, 3 figures. arXiv admin note: text overlap with arXiv:1903.04152

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• Delayed choice of paths selected by grin and snarl of quantum Cheshire Cat
• Isolating noise and amplifying signal with quantum Cheshire cat
• Association between quantum paradoxes based on weak values and a realistic interpretation of quantum measurements
• Apparent quantum paradoxes as simple interference: Quantum violation of the pigeonhole principle and exchange of properties between quantum particles
• Angular Momentum Flows without anything carrying it
• Is the dynamical quantum Cheshire cat detectable?
• Separating a particle's mass from its momentum
• Uncertainty Relations in Pre- and Post-Selected Systems
• Weak Particle Presence
• No contextual advantage in non-paradoxical scenarios of two state vector formalism
• Spin exchange of two spin-1/2 atoms
• The Informational Observer in Relational Quantum Mechanics