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 Hunting for the Quantum Cheshire Cat

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We analyze the proposal of Aharonov, Popescu, Rohrlich and Skrzypczyk New. J. Phys. 15, 113015 of disembodying physical properties from particles. We argue that a different criterion, based on the cross-average $\langle \mathrm{`}cat\ somewhere \mbox{}\times \mathrm{`}grin\ somewhere\ else\mbox{} angle$ should be used to detect the disembodiment, rather than the local averages $\langle \mathrm{`}cat\ somewhere \mbox{} angle$ and $\langle\mathrm{`}grin\ somewhere\ else\mbox{} angle$. Here, the exact probability distribution and its characteristic function are derived for arbitrary coupling strength, preparation and post-selection. This allows to successfully hunt down the quantum Cheshire cat, showing that it is a consequence of interference, that it is present also for intermediate-strength measurements, and that it is a rather common occurrence in post-selected measurements.

Autor: Antonio Di Lorenzo


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