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Related papers: Quantum PBR Theorem as a Monty Hall Game

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The ontological model framework provides a rigorous approach to address the question of whether the quantum state is ontic or epistemic. When considering only conventional projective measurements, auxiliary assumptions are always needed to…

Quantum Physics · Physics 2015-09-01 Shan Gao

Pusey, Barrett and Rudolph (PBR) have recently proven an important new theorem in the foundations of quantum mechanics. Here we propose alternative experimental protocols which lead to the PBR result for a special case and a weaker PBR-like…

Quantum Physics · Physics 2013-05-30 D. J. Miller

A quantum version of the Matching Pennies (MP) game is proposed that is played using an Einstein-Podolsky-Rosen-Bohm (EPR-Bohm) setting. We construct the quantum game without using the state vectors, while considering only the quantum…

Quantum Physics · Physics 2009-11-13 Azhar Iqbal , Derek Abbott

The Monty Hall problem is a classic probability puzzle known for its counterintuitive solution, revealing fundamental discrepancies between mathematical reasoning and human intuition. To bridge this gap, we introduce a novel explanatory…

History and Overview · Mathematics 2025-06-03 Mo Li

The fundamental nature of quantum wave function has been the topic of many discussions since the beginning of the quantum theory. It either corresponds to an element of reality $(\Psi-ontic)$ or it is a subjective state of knowledge about…

Quantum Physics · Physics 2020-02-18 Zeynab Faroughi , Ali Ahanj , Samira Nazifkar , Kurosh Javidan

The PBR theorem gives insight into how quantum mechanics describes a physical system. This paper explores PBRs' general result and shows that it does not disallow the ensemble interpretation of quantum mechanics and maintains, as it must,…

Quantum Physics · Physics 2018-11-27 Anthony Rizzi

Following the argument of Pusey, Barrett and Rudolph (Nature Phys. 8:476, 2012), new interest has been raised on whether one can interpret state-vectors (pure states) in a statistical way ($\psi$-epistemic theories), or if each of them…

Quantum Physics · Physics 2013-11-27 Petros Wallden

The influence of spontaneous emission channel and generalized Pauli channel on quantum Monty Hall Game is analysed. The scheme of Flittney and Abbott is reformulated using the formalism of density matrices. Optimal classical strategies for…

Quantum Physics · Physics 2010-05-03 Piotr Gawron

We investigate the minimal proof for ruling out maximally $\psi-$epistemic interpretations of quantum theory, in which the indistinguishable nature of two quantum states is fully explained by the epistemic overlap of their corresponding…

Quantum Physics · Physics 2025-09-15 Sagnik Ray , Anubhav Chaturvedi , Debashis Saha

The $N$-player quantum game is analyzed in the context of an Einstein-Podolsky-Rosen (EPR) experiment. In this setting, a player's strategies are not unitary transformations as in alternate quantum game-theoretic frameworks, but a classical…

Quantum Physics · Physics 2012-11-16 James M. Chappell , Azhar Iqbal , Derek Abbott

In classical Monty Hall problem, one player can always win with probability 2/3. We generalize the problem to the quantum domain and show that a fair two-party zero-sum game can be carried out if the other player is permitted to adopt…

Quantum Physics · Physics 2009-11-06 Chuan-Feng Li , Yong-Sheng Zhang , Yun-Feng Huang , Guang-Can Guo

Building on the Pusey-Barrett-Rudolph theorem, we derive a no-go theorem for a vast class of deterministic hidden-variables theories, including those consistent on their targeted domain. The strength of this result throws doubt on seemingly…

Quantum Physics · Physics 2014-02-25 Maximilian Schlosshauer , Arthur Fine

The PBR theorem has been hailed as one of the most important theorems in the foundations of quantum mechanics (QM), , cf. E. Samuel Reich, "Quantum theorem shakes foundations", Nature (2011). Here we argue that the special measurement, used…

General Physics · Physics 2023-07-12 Marcoen J. T. F. Cabbolet

Detection efficiency loophole poses a significant problem for experimental tests of Bell inequalities. Recently discovered Pusey-Barrett-Rudolph (PBR) theorem suffers from the same vulnerability. In this paper we calculate the critical…

Quantum Physics · Physics 2015-04-28 Arijit Dutta , Marcin Pawlowski , Marek Zukowski

Formalizing an old desire of Einstein, "psi-epistemic theories" try to reproduce the predictions of quantum mechanics, while viewing quantum states as ordinary probability distributions over underlying objects called "ontic states."…

Quantum Physics · Physics 2013-09-25 Scott Aaronson , Adam Bouland , Lynn Chua , George Lowther

Research in quantum games has flourished during recent years. However, it seems that opinion remains divided about their true quantum character and content. For example, one argument says that quantum games are nothing but 'disguised'…

Quantum Physics · Physics 2007-05-23 Azhar Iqbal

We first prove that ontological models of the quantum state which are capable of reproducing the Born probability rule and fall in the class of $\psi$-epistemic models are inconsistent with the Sch{\"o}dinger time evolution. We then model…

Quantum Physics · Physics 2014-01-30 Arun Kumar Pati , Partha Ghose , A. K. Rajagopal

The physical world obeys the rules of quantum, as opposed to classical, physics. Since the playing of any particular game requires physical resources, the question arises as to how Game Theory itself would change if it were extended into…

Quantum Physics · Physics 2007-05-23 Chiu Fan Lee , Neil F. Johnson

I argue that we have good reason for being realist about quantum states. Though a research programme of attempting to construct a plausible theory that accounts for quantum phenomena without ontic quantum states is well-motivated, that…

Quantum Physics · Physics 2019-11-26 Wayne C. Myrvold

Recently we proposed the linguistic interpretation of quantum mechanics (called quantum and classical measurement theory, or quantum language), which was characterized as a kind of metaphysical and linguistic turn of the Copenhagen…

Other Statistics · Statistics 2016-11-25 Shiro Ishikawa