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Entropy 2018, 20(8), 606;

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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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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Paraoanu, G.S. Non-Local Parity Measurements and the Quantum Pigeonhole Effect. Entropy 2018, 20, 606.

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