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Quantum violation of the pigeonhole principle and the nature of quantum correlations

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Quantum violation of the pigeonhole principle and the nature of quantum correlations. / Aharonov, Y; Colombo, Fabrizio; Popescu, Sandu; Sabadini, Irene; Struppa, Daniele; Tollaksen, J.

In: Proceedings of the National Academy of Sciences of the United States of America, 04.01.2016.

Research output: Contribution to journalArticle

Harvard

Aharonov, Y, Colombo, F, Popescu, S, Sabadini, I, Struppa, D & Tollaksen, J 2016, 'Quantum violation of the pigeonhole principle and the nature of quantum correlations', Proceedings of the National Academy of Sciences of the United States of America. https://doi.org/10.1073/pnas.1522411112

APA

Aharonov, Y., Colombo, F., Popescu, S., Sabadini, I., Struppa, D., & Tollaksen, J. (2016). Quantum violation of the pigeonhole principle and the nature of quantum correlations. Proceedings of the National Academy of Sciences of the United States of America. https://doi.org/10.1073/pnas.1522411112

Vancouver

Aharonov Y, Colombo F, Popescu S, Sabadini I, Struppa D, Tollaksen J. Quantum violation of the pigeonhole principle and the nature of quantum correlations. Proceedings of the National Academy of Sciences of the United States of America. 2016 Jan 4. https://doi.org/10.1073/pnas.1522411112

Author

Aharonov, Y ; Colombo, Fabrizio ; Popescu, Sandu ; Sabadini, Irene ; Struppa, Daniele ; Tollaksen, J. / Quantum violation of the pigeonhole principle and the nature of quantum correlations. In: Proceedings of the National Academy of Sciences of the United States of America. 2016.

Bibtex

@article{27856409d23f4843bcb1ebfc1062e75e,
title = "Quantum violation of the pigeonhole principle and the nature of quantum correlations",
abstract = "The pigeonhole principle: “If you put three pigeons in two pigeonholes, at least two of the pigeons end up in the same hole,” is an obvious yet fundamental principle of nature as it captures the very essence of counting. Here however we show that in quantum mechanics this is not true! We find instances when three quantum particles are put in two boxes, yet no two particles are in the same box. Furthermore, we show that the above “quantum pigeonhole principle” is only one of a host of related quantum effects, and points to a very interesting structure of quantum mechanics that was hitherto unnoticed. Our results shed new light on the very notions of separability and correlations in quantum mechanics and on the nature of interactions. It also presents a new role for entanglement, complementary to the usual one. Finally, interferometric experiments that illustrate our effects are proposed.",
author = "Y Aharonov and Fabrizio Colombo and Sandu Popescu and Irene Sabadini and Daniele Struppa and J Tollaksen",
year = "2016",
month = "1",
day = "4",
doi = "10.1073/pnas.1522411112",
language = "English",
journal = "Proceedings of the National Academy of Sciences of the United States of America",
issn = "0027-8424",
publisher = "National Academy of Sciences",

}

RIS - suitable for import to EndNote

TY - JOUR

T1 - Quantum violation of the pigeonhole principle and the nature of quantum correlations

AU - Aharonov, Y

AU - Colombo, Fabrizio

AU - Popescu, Sandu

AU - Sabadini, Irene

AU - Struppa, Daniele

AU - Tollaksen, J

PY - 2016/1/4

Y1 - 2016/1/4

N2 - The pigeonhole principle: “If you put three pigeons in two pigeonholes, at least two of the pigeons end up in the same hole,” is an obvious yet fundamental principle of nature as it captures the very essence of counting. Here however we show that in quantum mechanics this is not true! We find instances when three quantum particles are put in two boxes, yet no two particles are in the same box. Furthermore, we show that the above “quantum pigeonhole principle” is only one of a host of related quantum effects, and points to a very interesting structure of quantum mechanics that was hitherto unnoticed. Our results shed new light on the very notions of separability and correlations in quantum mechanics and on the nature of interactions. It also presents a new role for entanglement, complementary to the usual one. Finally, interferometric experiments that illustrate our effects are proposed.

AB - The pigeonhole principle: “If you put three pigeons in two pigeonholes, at least two of the pigeons end up in the same hole,” is an obvious yet fundamental principle of nature as it captures the very essence of counting. Here however we show that in quantum mechanics this is not true! We find instances when three quantum particles are put in two boxes, yet no two particles are in the same box. Furthermore, we show that the above “quantum pigeonhole principle” is only one of a host of related quantum effects, and points to a very interesting structure of quantum mechanics that was hitherto unnoticed. Our results shed new light on the very notions of separability and correlations in quantum mechanics and on the nature of interactions. It also presents a new role for entanglement, complementary to the usual one. Finally, interferometric experiments that illustrate our effects are proposed.

U2 - 10.1073/pnas.1522411112

DO - 10.1073/pnas.1522411112

M3 - Article

JO - Proceedings of the National Academy of Sciences of the United States of America

JF - Proceedings of the National Academy of Sciences of the United States of America

SN - 0027-8424

ER -