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Entropy 2018, 20(8), 606; https://doi.org/10.3390/e20080606

Non-Local Parity Measurements and the Quantum Pigeonhole Effect

Department of Applied Physics, Aalto University, P.O. Box 15100, FI-00076 Aalto, Finland
Received: 5 June 2018 / Revised: 6 August 2018 / Accepted: 8 August 2018 / Published: 16 August 2018
(This article belongs to the Special Issue Quantum Nonlocality)
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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. View Full-Text
Keywords: non-locality; parity measurements; entanglement; pigeonhole principle; controlled-NOT non-locality; parity measurements; entanglement; pigeonhole principle; controlled-NOT
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Paraoanu, G.S. Non-Local Parity Measurements and the Quantum Pigeonhole Effect. Entropy 2018, 20, 606.

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