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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

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

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

It has recently been argued in Aharonov et. al. (2016) that quantum mechanics violates the Pigeon Counting Principle (PCP) which states that if one distributes three pigeons among two boxes there must be at least two pigeons in one of the…

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

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

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

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

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

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

It is a fundamental problem in physics of what principle limits the correlations as predicted by our current description of nature, based on quantum mechanics. One possible explanation is the "global exclusivity" principle recently…

Quantum Physics · Physics 2013-06-26 Bin Yan

Identifying which correlations among distant observers are possible within our current description of Nature, based on quantum mechanics, is a fundamental problem in Physics. Recently, information concepts have been proposed as the key…

Quantum Physics · Physics 2012-01-16 Rodrigo Gallego , Lars Erik Würflinger , Antonio Acín , Miguel Navascués

An approach for analysis of effective interaction between pre- and postselected quantum particles is developed. It is argued that the cases of complete pre- and postselection of particles are more profound than the cases of partial pre- and…

Quantum Physics · Physics 2026-03-17 Gregory Reznik , Jan Dziewior , Shrobona Bagchi , Lev Vaidman

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

The physical concept of quantum entanglement is brought to the biological domain. We simulate the cooperation of two insects by hypothesizing that they share a large number of quantum entangled spin-1/2 particles. Each of them makes…

Quantum Physics · Physics 2007-05-23 Johann Summhammer

A simple minimalist argument is given for why some correlations between quantum systems boggle our classical intuition. The argument relies on two elementary physical assumptions, and recovers the standard experimentally-testable Bell…

Quantum Physics · Physics 2024-08-29 Michael J. W. Hall

Both coherence and entanglement stem from the superposition principle, capture quantumness of a physical system, and play a central role in quantum physics. In a multipartite quantum system, coherence and quantum correlations are closely…

Quantum Physics · Physics 2018-08-08 Sunho Kim , Longsuo Li , Asutosh Kumar , Junde Wu

In the quantum world correlations can take form of entanglement which is known to be monogamous. In this work we show that another type of correlations, indistinguishability, is also restricted by some form of monogamy. Namely, if particles…

Quantum Physics · Physics 2018-09-12 Marcin Karczewski , Dagomir Kaszlikowski , Pawel Kurzynski

In this paper we point out that the genuine quantum and classical correlations defined by Giorgi et al in two different ways [Phys. Rev. Lett. 107, 190501 (2011), arXiv:1108.0434] do not coincide in general.

Quantum Physics · Physics 2012-06-04 Zhanjun Zhang , Biaoliang Ye , Shao-Ming Fei
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