Thursday, May 17, 2012

1205.3755 (Antonio Di Lorenzo)

Hunting for the Quantum Cheshire Cat    [PDF]

Antonio Di Lorenzo
The proposal of Aharonov, Popescu, and Skrzypczyk [arXiv:1202.0631] of disembodying physical properties from particles is analyzed. It is argued that: (1) in order to state that the cat is at one location and the smile at another, one should look at correlations, not mean values; (2) a weak value of one for the presence of the cat describes the average over a large number of trials, where the detector gives in each trial outputs that are not zero nor one, and that are much larger than unity (they can be large and negative as well); (3) once these issues are addressed, the specific model proposed does not provide evidence for disembodiment of physical properties. 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.
View original: http://arxiv.org/abs/1205.3755

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