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This paper extends our probabilistic framework for two-player quantum games to the mutliplayer case, while giving a unified perspective for both classical and quantum games. Considering joint probabilities in the standard…

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

Investigating the classical simulability of quantum circuits provides a promising avenue towards understanding the computational power of quantum systems. Whether a class of quantum circuits can be efficiently simulated with a probabilistic…

Quantum Physics · Physics 2020-01-15 Hakop Pashayan , Stephen D. Bartlett , David Gross

In human consciousness perceptions are distinct or atomistic events despite being perceived by an apparently undivided inner observer. This paper applies both classical (Boolean) and quantum logic to analysis of the Liar paradox which is…

Quantum Physics · Physics 2007-05-23 Erhard Bieberich

A game-theoretic setting provides a mathematical basis for analysis of strategic interaction among competing agents and provides insights into both classical and quantum decision theory and questions of strategic choice. An outstanding…

Quantum Physics · Physics 2018-07-24 Azhar Iqbal , James M. Chappell , Derek Abbott

In a two-stage repeated classical game of prisoners' dilemma the knowledge that both players will defect in the second stage makes the players to defect in the first stage as well. We find a quantum version of this repeated game where the…

Quantum Physics · Physics 2015-06-26 A. Iqbal , A. H. Toor

Recent development in quantum computation and quantum information theory allows to extend the scope of game theory for the quantum world. The paper presents the history and basic ideas of quantum game theory. Description of Giffen paradoxes…

Condensed Matter · Physics 2014-10-13 J. Sladkowski

Quantum mechanics manifests in experimental observations in several ways. Hauge et al. (1987) and Leavens et al. (1989) had pointed out that interference effects dominate a physical quantity called injectance. We show that, very…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Urbashi Satpathi , P. Singha Deo

Here we introduce the concept of classical input - quantum output (C-Q) non-signalling boxes, a generalisation of the classical input - classical output (C-C) non-signalling boxes. We argue that studying such objects leads to a better…

Quantum Physics · Physics 2024-08-28 Carolina Moreira Ferrera , Robin Simmons , James Purcell , Daniel Collins , Sandu Popescu

It is usually assumed that a quantum computation is performed by applying gates in a specific order. One can relax this assumption by allowing a control quantum system to switch the order in which the gates are applied. This provides a more…

Quantum Physics · Physics 2020-06-11 Mateus Araújo , Fabio Costa , Časlav Brukner

The emergence of quantum technologies is heating up the debate on quantum supremacy, usually focusing on the feasibility of looking good on paper algorithms in realistic settings, due to the vulnerability of quantum systems to myriad…

Quantum Physics · Physics 2020-12-21 Sinan Bugu , Fatih Ozaydin , Tetsuo Kodera

Quantum mechanics dramatically differs from classical physics, allowing for a wide range of genuinely quantum phenomena. The goal of quantum information is to understand information processing from a quantum perspective. In this mindset, it…

Quantum Physics · Physics 2012-05-15 Antonio Acín , Mafalda L. Almeida , Remigiusz Augusiak , Nicolas Brunner

A proof of quantumness is a protocol through which a classical machine can test whether a purportedly quantum device, with comparable time and memory resources, is performing a computation that is impossible for classical computers.…

Computational Complexity · Computer Science 2026-04-21 A. C. Cem Say , M. Utkan Gezer

Can a problem undecidable with classical resources be decidable with quantum ones? The answer expected is no; as both being Turing theories, they should not solve the Halting problem - a problem unsolvable by any Turing machine. Yet, we…

Quantum Physics · Physics 2021-12-28 Airin Antony

Classical physics fails where quantum physics prevails. This common understanding applies to quantum phenomena that are acknowledged to be beyond the reach of classical physics. Here, we make an attempt at weakening this solid belief that…

Classical Physics · Physics 2015-04-14 Michele Marrocco

The purpose of this article is to provide a novel approach and justification of the idea that classical physics and quantum physics can neither function nor even be conceived one without the other - in line with ideas attributed to e.g.…

History and Philosophy of Physics · Physics 2024-08-29 Philippe Grangier , Alexia Auffeves , Nayla Farouki , Mathias Van Den Bossche , Olivier Ezratty

We present the general Hardy-like quantum pigeonhole paradoxes for \textit{n}-particle states, and find that each of such paradoxes can be simply associated to an un-colorable solution of a specific vertex-coloring problem induced from the…

Quantum Physics · Physics 2023-02-22 Shihao Ru , Cen-Xiao Huang , Xiao-Min Hu , Chao Zhang , Feiran Wang , Ni Liu , Weidong Tang , Pei Zhang , Bi-Heng Liu , Fuli Li

The EPR paradox and the meaning of the Bell inequality are discussed. It is shown that considering the quantum objects as carrying with them ''instruction kits'' telling them what to do when meeting a measurement apparatus any paradox…

Quantum Physics · Physics 2009-10-31 A. Tartaglia

A setup is proposed to play a quantum version of the famous bimatrix game of Prisoners' Dilemma. Multi-slit electron diffraction with each player's pure strategy consisting of opening one of the two slits at his/her disposal are essential…

Quantum Physics · Physics 2009-11-07 A. Iqbal

We consider a toy model of the interaction of a qubit with an exotic space-time containing a time-like curve. Consistency seems to require that the global evolution of the qubit be non-unitary. Given that quantum mechanics is globally…

Quantum Physics · Physics 2008-11-26 T. C. Ralph

Among the many perplexing results of quantum mechanics is one that contradicts a result from introductory physics: the possibility of finding a quantum particle in a region that would be forbidden classically by energy conservation. An…

Popular Physics · Physics 2025-01-09 Dennis E. Krause , Nikolai Jones