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Quantum three box paradox is a prototypical example of some bizarre predictions for intermediate measurements made on pre- and post-selected systems. Although in principle those effects can be explained by measurement disturbance, it is not…

Quantum Physics · Physics 2022-01-19 Pawel Blasiak , Ewa Borsuk

The quantum three-box paradox considers a ball prepared in a superposition of being in one of three Boxes. Bob makes measurements by opening either Box 1 or Box 2. After performing some unitary operations (shuffling), Alice can infer with…

Quantum Physics · Physics 2024-12-03 C. Hatharasinghe , M. Thenabadu , P. D. Drummond , M. D. Reid

Many seemingly paradoxical effects are known in the predictions for outcomes of intermediate measurements made on pre- and post-selected quantum systems. Despite appearances, these effects do not demonstrate the impossibility of a…

Quantum Physics · Physics 2007-05-23 M. S. Leifer , R. W. Spekkens

The three-box problem is a gedankenexperiment designed to elucidate some interesting features of quantum measurement and locality. A particle is prepared in a particular superposition of three boxes, and later found in a different (but…

Quantum Physics · Physics 2009-11-10 K. J. Resch , J. S. Lundeen , A. M. Steinberg

Peculiar measurements can be obtained on systems that undergo both pre- and post-selection. We prove a conjecture from [1] on logical Pre- and Post-Selection (PPS) paradoxes for a restricted case. We prove that all of these paradoxes admit…

Quantum Physics · Physics 2025-09-23 Ouissal Moumou

One of the most striking features of quantum mechanics is the profound effect exerted by measurements alone. Sophisticated quantum control is now available in several experimental systems, exposing discrepancies between quantum and…

If a quantum system is prepared and later post-selected in certain states, "paradoxical" predictions for intermediate measurements can be obtained. This is the case both when the intermediate measurement is strong, i.e. a projective…

Quantum Physics · Physics 2015-11-06 Matthew F. Pusey , Matthew S. Leifer

The prediction of the N-box paradox, that whichever box is opened will contain the record of the particle having passed through it, is traced to a failure to specify whether the other boxes are distinguishable or indistinguishable. These…

Quantum Physics · Physics 2007-05-23 Conall Boyle , Roger Schafir

Many features of single-partite quantum walks can be simulated by classical waves. However, it was recently experimentally shown that some temporal sequences of measurements on a quantum walker do not admit a classical description in terms…

Quantum Physics · Physics 2019-06-03 Tomasz Kopyciuk , Mikolaj Lewandowski , Pawel Kurzynski

Many seemingly paradoxical effects are known in the predictions for outcomes of measurements made on pre- and post-selected quantum systems. A class of such effects, which we call ``logical pre- and post-selection paradoxes'', bear a…

Quantum Physics · Physics 2007-05-23 M. S. Leifer , R. W. Spekkens

Quantum mechanics describes the relation between different measurement contexts in terms of superpositions of the potential measurement outcomes. This relation between measurement contexts makes it impossible to determine context…

Quantum Physics · Physics 2023-05-16 Holger F. Hofmann

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

The Classical Twin Paradox is widely dealt in literature and neatly resolved. In addition, it is also well known that, when looking at two systems which are boosted relative to each other, the concept of the simultaneous effect of a quantum…

General Relativity and Quantum Cosmology · Physics 2011-02-10 Doron ludwin

Many quantum paradoxes based on a realistic view of weak values were discussed in the last decades. They lead to astonishing conclusions such as the measurement of a spin component of a spin-1/2 particle resulting in $100\hbar$, the…

Quantum Physics · Physics 2024-03-15 Alice M. Aredes , Pablo L. Saldanha

Quantum walks are counterparts of classical random walks. They spread faster, which can be exploited in information processing tasks, and constitute a versatile simulation platform for many quantum systems. Yet, some of their properties can…

Quantum Physics · Physics 2021-08-04 Xiaoxiao Chen , Zhe Meng , Jian Li , Jiazhi Yang , Anning Zhang , Tomasz Kopyciuk , Pawel Kurzynski

The classical three-box paradox of Kirkpatrick [J. Phys. A 36 4891 (2003)] is compared to the original quantum Three-Box paradox of Aharonov and Vaidman [J. Phys. A 24 2315 (1991)]. It is argued that the quantum Three-Box experiment is a…

Quantum Physics · Physics 2015-06-26 Tamar Ravon , Lev Vaidman

This paper considers the problem of distinguishing between classical and quantum domains in macroscopic phenomena using tests based on probability and it presents a condition on the ratios of the outcomes being the same (Ps) to being…

Quantum Physics · Physics 2014-02-11 Subhash Kak

In the hidden measurement formalism that we develop in Brussels we explain the quantum structure as due to the presence of two effects, (a) a real change of state of the system under influence of the measurement and, (b) a lack of knowledge…

Quantum Physics · Physics 2007-05-23 Diederik Aerts

Modern physics is founded on two mainstays: mathematical modelling and empirical verification. These two assumptions are prerequisite for the objectivity of scientific discourse. Here we show, however, that they are contradictory, leading…

History and Philosophy of Physics · Physics 2019-04-09 Michał Eckstein , Paweł Horodecki

Incompatibility of certain measurements -- impossibility of obtaining deterministic outcomes simultaneously -- is a well known property of quantum mechanics. This feature can be utilized in many contexts, ranging from Bell inequalities to…

Quantum Physics · Physics 2018-03-14 Martin Plesch , Matej Pivoluska
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