Non-local parity measurements and the quantum pigeonhole effect

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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date

2018-08-01

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Department of Applied Physics

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en

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Entropy, Volume 20, issue 8, pp. 1-6

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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Keywords

Controlled-NOT, Entanglement, Non-locality, Parity measurements, Pigeonhole principle

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DOI

10.3390/e20080606

Citation

Paraoanu, G S 2018, 'Non-local parity measurements and the quantum pigeonhole effect', Entropy, vol. 20, no. 8, 606, pp. 1-6. https://doi.org/10.3390/e20080606

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https://urn.fi/URN:NBN:fi:aalto-201809115120

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[article-cris] Perustieteiden korkeakoulu / SCI