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arXiv:1703.02959 · Annals of Physics

The Quantum Cheshire Cat effect: Theoretical basis and observational implications

Quentin Duprey, Som Kanjilal, Urbasi Sinha, Dipankar Home, A. Matzkin

Published Feb 3, 2018• 28 citations
arXivHTMLPDF
DOI
10.1016/j.aop.2018.01.011

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In a July 2014 Nature Communications paper, Denkmayr et al. claim to have instantiated so-called quantum Cheshire Cat experiment using neutron interferometry. Crucial to this claim are weak values which must imply quantum Cheshire Cat interpretation, i.e., the neutron and its spin are spatially separated in their experiment. While they measured correct weak values for quantum Cheshire Cat interpretation, corresponding implications do not obtain because, as we show, those weak values were measured with both a quadratic and a linear magnetic field Bz interaction. We show explicitly how those weak values imply quantum Cheshire Cat if Bz interaction is linear and then we show how quadratic Bz interaction destroys quantum Cheshire Cat implications of those weak values. Since both linear and quadratic Bz interactions contribute equally to neutron intensity in this experiment, deviant weak value implications are unavoidable. Because weak values were used successfully to compute neutron intensities for weak Bz in this experiment, it is clearly case that one cannot make ontological inferences from weak values without taking into account corresponding interaction strength.

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The quantum Cheshire Cat experiment of Denkmayr et al

W. M. Stuckey, Michael Silberstein, Timothy J. McDevitt

In a July 2014 Nature Communications paper, Denkmayr et al. claim to have instantiated so-called quantum Cheshire Cat experiment using neutron interferometry. Crucial to this claim are weak values which must imply quantum Cheshire Cat interpretation, i.e., the neutron and its spin are spatially separated in their experiment. While they measured correct weak values for quantum Cheshire Cat interpretation, corresponding implications do not obtain because, as we show, those weak values were measured with both a quadratic and a linear magnetic field Bz interaction. We show explicitly how those weak values imply quantum Cheshire Cat if Bz interaction is linear and then we show how quadratic Bz interaction destroys quantum Cheshire Cat implications of those weak values. Since both linear and quadratic Bz interactions contribute equally to neutron intensity in this experiment, deviant weak value implications are unavoidable. Because weak values were used successfully to compute neutron intensities for weak Bz in this experiment, it is clearly case that one cannot make ontological inferences from weak values without taking into account corresponding interaction strength.

•Oct 5, 2014•1 citation
In a July 2014 Nature Communications paper, Denkmayr et al. claim to have instantiated so-called quantum Cheshire Cat experiment using neutron interferometry. Crucial to this claim are weak values which must imply quantum Cheshire Cat interpretation, i.e., the neutron and its spin are spatially separated in their experiment. While they measured correct weak values for quantum Cheshire Cat interpretation, corresponding implications do not obtain because, as we show, those weak values were measured with both a quadratic and a linear magnetic field Bz interaction. We show explicitly how those weak values imply quantum Cheshire Cat if Bz interaction is linear and then we show how quadratic Bz interaction destroys quantum Cheshire Cat implications of those weak values. Since both linear and quadratic Bz interactions contribute equally to neutron intensity in this experiment, deviant weak value implications are unavoidable. Because weak values were used successfully to compute neutron intensities for weak Bz in this experiment, it is clearly case that one cannot make ontological inferences from weak values without taking into account corresponding interaction strength.
In Alice's Adventures in Wonderland by Lewis Carroll, mischievous grin of a Cheshire cat is sometimes dis-embodied from her body. Quantum theory allows such a counterintuitive phenomenon, known as the quantum Cheshire cat effect [1], to happen for a pre- and post-selected (PPS) system. While observing the quantum Cheshire cat, the physical property and the carrier's location should be weakly probed with a measuring device to leave the quantum state with negligible disturbance. To date, experimental observations of the quantum Cheshire cat effect have been realized with a single neutron as well as with a single photon [2, 3]. However, their observations relied on weakly disturbing elements instead of a true weak measuring device. In this work, we report the experimental observation of the quantum Cheshire cat effect with a weak measuring device. To investigate the quantum Cheshire cat effect, we employ a photon pair generated by spontaneous parametric down conversion (SPDC). The elements of quantum Cheshire cat, namely the body (photon) and the grin (polarization), are indirectly probed with a quantum pointer using another single photon, where both the body and the grin are weakly measured without destroying the photon itself.
In a July 2014 Nature Communications paper, Denkmayr et al. claim to have instantiated so-called quantum Cheshire Cat experiment using neutron interferometry. Crucial to this claim are weak values which must imply quantum Cheshire Cat interpretation, i.e., the neutron and its spin are spatially separated in their experiment. While they measured correct weak values for quantum Cheshire Cat interpretation, corresponding implications do not obtain because, as we show, those weak values were measured with both a quadratic and a linear magnetic field Bz interaction. We show explicitly how those weak values imply quantum Cheshire Cat if Bz interaction is linear and then we show how quadratic Bz interaction destroys quantum Cheshire Cat implications of those weak values. Since both linear and quadratic Bz interactions contribute equally to neutron intensity in this experiment, deviant weak value implications are unavoidable. Because weak values were used successfully to compute neutron intensities for weak Bz in this experiment, it is clearly case that one cannot make ontological inferences from weak values without taking into account corresponding interaction strength.