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Related papers: Escape from the Quantum Pigeon Conundrum

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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…

Quantum Physics · Physics 2014-07-14 Y. Aharonov , F. Colombo , S. Popescu , I. Sabadini , D. C. Struppa , J. Tollaksen

It was recently argued that the pigeonhole principle, which states that if three pigeons are put into two pigeonholes then at least one pigeonhole must contain more than one pigeon, is violated in quantum systems [Y. Aharonov et al., PNAS…

Quantum Physics · Physics 2021-07-21 Raul Corrêa , Pablo L. Saldanha

In the paper, it is argued that the phenomenon known as the quantum pigeonhole principle (namely, three quantum particles are put in two boxes, yet no two particles are in the same box) can be explained not as a violation of Dirichlet's box…

Quantum Physics · Physics 2018-02-16 Arkady Bolotin

A recent criticism by Kunstatter et al. [Phys. Lett. A 384, 126686 (2020)] of a quantum setup violating the pigeon counting principle [Aharonov et al. PNAS 113, 532 (2016)] is refuted. The quantum nature of the violation of the pigeonhole…

Quantum Physics · Physics 2021-04-07 Yakir Aharonov , Shrobona Bagchi , Justin Dressel , Gregory Reznik , Michael Ridley , Lev Vaidman

Quantum pigeonhole principle states that if there are three pigeons and two boxes then there are instances where no two pigeons are in the same box which seems to defy classical pigeonhole counting principle. Here, we investigate the…

Quantum Physics · Physics 2019-04-30 Narendra N. Hegade , Antariksha Das , Swarnadeep Seth , Prasanta K. Panigrahi

We show that in the mathematical framework of the quantum theory the classical pigeonhole principle can be violated more directly than previously suggested, i.e., in a setting closer to the traditional statement of the principle. We…

Quantum Physics · Physics 2020-04-08 Gregory Reznik , Shrobona Bagchi , Justin Dressel , Lev Vaidman

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…

Quantum Physics · Physics 2019-02-18 G. S. Paraoanu

The quantum pigeonhole effect (QPE) appears to contradict the classical pigeonhole principle by allowing three quantum particles distributed between two boxes to exhibit no pairwise coincidence. We show that this effect does not signal a…

Quantum Physics · Physics 2026-02-17 Yanlong Sun , Haiqing Wei , Jack W. Smith , Hongbin Wang

Quantum simulators based on nuclear spin-systems controlled by NMR techniques have been used for studying various quantum phenomena. In this work, using a four-qubit NMR quantum simulator, we investigate the recently postulated quantum…

Quantum Physics · Physics 2015-12-15 Anjusha V. S. , Swathi S. Hegde , T. S Mahesh

There has been considerable interest in a recent preprint - arXiv/1407.3194 - describing an effect named as the Quantum Pigeonhole Principle. The classical pigeonhole principle (classical PHP) refers to a result in number theory which…

Quantum Physics · Physics 2014-12-05 Alastair Rae , Ted Forgan

A kind of paradoxical effects has been demonstrated that the pigeonhole principle, i.e., if three pigeons are put in two pigeonholes then at least two pigeons must stay in the same hole, fails in certain quantum mechanical scenario. Here we…

Quantum Physics · Physics 2014-08-26 Sixia Yu , C. H. Oh

When three pigeons are in two pigeonholes, at least two of them should be in the same pigeonhole, which is called pigeonhole principle. Recently Aharonov el al have shown that the principle can be violated in a pre-postselected quantum…

Quantum Physics · Physics 2018-12-13 Kazuhiro Yokota , Nobuyuki Imoto

We experimentally demonstrate that when three single photons transmit through two polarization channels, in a well-defined pre- and postselected ensemble, there are no two photons in the same polarization channel by weak-strength…

The findings in the paper 'The quantum pigeonhole principle and the nature of quantum correlations', (arXiv 1407.3194), by Aharonov, Colombo, Popescu, Sabadini, Struppa and Tollaksen are scrutinized. I argue that some of the conclusions in…

Quantum Physics · Physics 2014-12-04 B. E. Y. Svensson

Quantum matter in three spatial dimensions is observed to consist exclusively of bosons and fermions. Whether this empirical fact follows from basic consistency requirements of quantum theory itself or must be imposed as an additional…

Quantum Physics · Physics 2025-12-29 Chi-Chun Zhou , Shuai A. Chen , Yu-Zhu Chen , Yao Shen , Fu-Lin Zhang , Wu-Sheng Dai

We investigate the interference setup claimed to reveal the quantum pigeonhole effect. It is a claim that it is possible that three parties travel across a two-path interferometer, but no pair of them share a path. We demonstrate the…

Quantum Physics · Physics 2021-08-18 Marcin Wieśniak

We implement a variant of the quantum pigeonhole paradox thought experiment to study whether classical counting principles survive in the quantum domain. We observe strong measurements significantly violate the pigeonhole principle (that…

The classical PCP theorem is arguably the most important achievement of classical complexity theory in the past quarter century. In recent years, researchers in quantum computational complexity have tried to identify approaches and develop…

Quantum Physics · Physics 2013-10-01 Dorit Aharonov , Itai Arad , Thomas Vidick

After some general comments about statistics and the TCP theorem, I discuss experimental searches for violations of the exclusion principle and theories which allow for such violations.

High Energy Physics - Phenomenology · Physics 2007-05-23 O. W. Greenberg , D. M. Greenberger , T. V. Greenbergest

There's something really strange about quantum mechanics. It's not just that cats can be dead and alive at the same time, and that entanglement seems to violate the principle of locality; quantum mechanics seems to be what Aaronson calls…

Quantum Physics · Physics 2011-06-23 Joseph Bebel , Henry Yuen
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