Non-local parity measurements and the quantum pigeonhole effect

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Non-local parity measurements and the quantum pigeonhole effect. / Paraoanu, G. S.

In: Entropy, Vol. 20, No. 8, 606, 01.08.2018, p. 1-6.

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@article{f4eba28965d94ea5abc41ca38d5fbd08,
title = "Non-local parity measurements and the quantum pigeonhole effect",
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.",
keywords = "Controlled-NOT, Entanglement, Non-locality, Parity measurements, Pigeonhole principle",
author = "Paraoanu, {G. S.}",
year = "2018",
month = "8",
day = "1",
doi = "10.3390/e20080606",
language = "English",
volume = "20",
pages = "1--6",
journal = "Entropy",
issn = "1099-4300",
publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",
number = "8",

}

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TY - JOUR

T1 - Non-local parity measurements and the quantum pigeonhole effect

AU - Paraoanu, G. S.

PY - 2018/8/1

Y1 - 2018/8/1

N2 - 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.

AB - 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.

KW - Controlled-NOT

KW - Entanglement

KW - Non-locality

KW - Parity measurements

KW - Pigeonhole principle

UR - http://www.scopus.com/inward/record.url?scp=85052219604&partnerID=8YFLogxK

U2 - 10.3390/e20080606

DO - 10.3390/e20080606

M3 - Article

VL - 20

SP - 1

EP - 6

JO - Entropy

JF - Entropy

SN - 1099-4300

IS - 8

M1 - 606

ER -

ID: 27790763