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arXiv · 1902.05854

Non-Local Parity Measurements and the Quantum Pigeonhole Effect

G. S. Paraoanu
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Abstract

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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G. S. Paraoanu. 2019-02-15. Non-Local Parity Measurements and the Quantum Pigeonhole Effect. https://doi.org/10.3390/e20080606

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