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Related papers: Quantum pigeonhole effect, Cheshire cat and contex…

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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

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

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

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

We analyse the quantum Cheshire cat using contextuality theory, to see if this can tell us anything about how best to interpret this paradox. We show that this scenario can be analysed using the relation between three different…

Quantum Physics · Physics 2024-02-16 Jonte R. Hance , Ming Ji , Holger F. Hofmann

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

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

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…

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

The structural connections between the Kochen-Specker (KS) theorem, pre- and post-selection (PPS) paradoxes, and anomalous weak values are explored in detail. All PPS paradoxes, such as the 3-box paradox, the Quantum Cheshire Cat, and the…

Quantum Physics · Physics 2015-09-16 Mordecai Waegell , Jeff Tollaksen

Previous experimental tests of quantum contextuality based on the Bell-Kochen-Specker (BKS) theorem have demonstrated that not all observables among a given set can be assigned noncontextual eigenvalue predictions, but have never identified…

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 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…

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 Quantum Cheshire Cat (QCC) is an effect introduced recently within the Weak Measurements framework. The main feature of the QCC effect is that a property of a quantum particle appears to be spatially separated from its position. The…

Quantum Physics · Physics 2018-02-20 Q. Duprey , S. Kanjilal , Urbasi Sinha , D. Home , A. Matzkin

We propose in this work a definite theoretical implementation of the three-box paradox - a scheme in which a single quantum particle appears to be present with certainty in two separate boxes - with spin-1 atoms. We further show how our…

Quantum Physics · Physics 2013-07-23 A. Matzkin , A. K. Pan

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

Quantum entanglement serves as an important resource for quantum processing. In the original thought experiment of the Quantum Cheshire Cat, the physical properties of the cat (state) can be decoupled from its quantum entities. How do…

Quantum Physics · Physics 2023-03-31 Jie Zhou , Leong-Chuan Kwek , Jing-Ling Chen
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