Non-local parity measurements and the quantum pigeonhole effect

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The pigeonhole principle upholds the idea that by ascribing to three different particles either one of two properties, we necessarily end up in a situation when at least two of the particles have the same property. In quantum physics, this principle is violated in experiments involving postselection of the particles in appropriately-chosen states. Here, we give two explicit constructions using standard gates and measurements that illustrate this fact. Intriguingly, the procedures described are manifestly non-local, which demonstrates that the correlations needed to observe the violation of this principle can be created without direct interactions between particles.

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AlkuperäiskieliEnglanti
Artikkeli606
Sivut1-6
JulkaisuEntropy
Vuosikerta20
Numero8
TilaJulkaistu - 1 elokuuta 2018
OKM-julkaisutyyppiA1 Julkaistu artikkeli, soviteltu

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