Concerning Quadratic Interaction in the Quantum Cheshire Cat Experiment

We believe the weak interaction of the quantum Cheshire Cat experiment must be linear if the weak values are to support the quantum Cheshire Cat interpretation, i.e., that a particle and one of its properties are spatially separated. For example, even though Denkmayr et al. measured the proper weak values for quantum Cheshire Cat in their neutron interferometry experiment, they did so using a quadratic interaction. We show how the quadratic interaction in their experiment destroys the quantum Cheshire Cat interpretation. Indeed, if the quantum Cheshire Cat interpretation is established per the weak values alone, regardless of the degree of interaction, then Denkmayr et al.’s experiment would be a reductio against the interpretation.

Stuckey et al Quantum Cheshire Cat Revised Final

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    This paper has been sent out for peer review.

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    Two referee reports have been received.

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