Quantum violation of the pigeonhole principle and the nature of quantum correlations

Next session will be hosted by Victoria Dordyay and Miryam Suárez, and it will treat about pigeon, counterintuitive effects, and correlations.

Abstract: The pigeonhole principle:“If you put three pigeons in two pigeon-holes, at least two of the pigeons end up in the same hole,”is anobvious yet fundamental principle of nature as it captures the veryessence of counting. Here however we show that in quantum me-chanics this is not true! We find instances when three quantumparticles are put in two boxes, yet no two particles are in the samebox. Furthermore, we show that the above“quantum pigeonholeprinciple”is only one of a host of related quantum effects, andpoints to a very interesting structure of quantum mechanics thatwas hitherto unnoticed. Our results shed new light on the verynotions of separability and correlations in quantum mechanicsand on the nature of interactions. It also presents a new role forentanglement, complementary to the usual one. Finally, interfero-metric experiments that illustrate our effects are proposed.

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Paper: https://www.pnas.org/doi/full/10.1073/pnas.1522411112

Date and time: April 23th 2024. 10 am.

Link: meet.google.com/pfu-awyh-hmz

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