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We present a perspective on quantum games that focuses on the physical aspects of the quantities that are used to implement a game. If a game is to be played, it has to be played with objects and actions that have some physical existence.…

Quantum Physics · Physics 2012-02-23 Simon J. D. Phoenix , Faisal Shah Khan

This article focuses on the connection between the possibility of quantum computers, the predictability of complex quantum systems in nature, and the issue of free will.

Quantum Physics · Physics 2022-04-07 Gil Kalai

Quantum game theory has emerged as a promising candidate to further the understanding of quantum correlations. Motivated by this, it is demonstrated that pure strategy Nash equilibria can be utilised as a mechanism to witness and determine…

Quantum Physics · Physics 2024-10-22 A. Lowe

Recent development in quantum computation and quantum information theory allows to extend the scope of game theory for the quantum world. The paper is devoted to the analysis of interference of quantum strategies in quantum market games.

Quantum Physics · Physics 2009-11-07 E. W. Piotrowski , J. Sladkowski , J. Syska

Recently the concept of quantum information has been introduced into game theory. Here we present the first study of quantum games with more than two players. We discover that such games can possess a new form of equilibrium strategy, one…

Quantum Physics · Physics 2007-05-23 Simon C. Benjamin , Patrick M. Hayden

We investigate a multi-player and multi-choice quantum game. We start from two-player and two-choice game and the result is better than its classical version. Then we extend it to N-player and N-choice cases. In the quantum domain, we…

Quantum Physics · Physics 2009-11-06 Jiangfeng Du , Hui Li , Xiaodong Xu , Xianyi Zhou , Rongdian Han

In quantum gravity there is no notion of absolute time. Like all other quantities in the theory, the notion of time has to be introduced "relationally", by studying the behavior of some physical quantities in terms of others chosen as a…

Quantum Physics · Physics 2009-03-12 Rodolfo Gambini , Jorge Pullin

Quantum uncertainty is a well-known property of quantum mechanics that states the impossibility of predicting measurement outcomes of multiple incompatible observables simultaneously. In contrast, the uncertainty in the classical domain…

Quantum game theory, whatever opinions may be held due to its abstract physical formalism, have already found various applications even outside the orthodox physics domain. In this paper we introduce the concept of a quantum auction, its…

General Finance · Quantitative Finance 2009-11-13 E. W. Piotrowski , J. Sladkowski

Quantum game theory lays a foundation for understanding the interaction of people using quantum computers with conflicting interests. Recently Zhang proposed a simple yet rich model to study quantum strategic games, and addressed some…

Quantum Physics · Physics 2011-05-27 Zhaohui Wei , Shengyu Zhang

An approach is presented treating decision theory as a probabilistic theory based on quantum techniques. Accurate definitions are given and thorough analysis is accomplished for the quantum probabilities describing the choice between…

Artificial Intelligence · Computer Science 2022-06-06 V. I. Yukalov

We present a new framework for creating a quantum version of a classical game, based on Fine's theorem. This theorem shows that for a given set of marginals, a system of Bell's inequalities constitutes both necessary and sufficient…

Quantum Physics · Physics 2023-12-29 Azhar Iqbal , James M. Chappell , Claudia Szabo , Derek Abbott

The fundamental laws of quantum world upsets the logical foundation of classic physics. They are completely counter-intuitive with many bizarre behaviors. However, this paper shows that they may make sense from the perspective of a general…

Computer Science and Game Theory · Computer Science 2009-12-02 Xiaofei Huang

Quantum computers that process information by harnessing the remarkable power of quantum mechanics are increasingly being put to practical use. In the future, their impact will be felt in numerous fields, including in online casino games.…

Quantum Physics · Physics 2021-11-08 Yushi Mura , Hiroki Wada

Classical game theory is a powerful tool focusing on optimized resource distribution, allocation and sharing in classical wired and wireless networks. As quantum networks are emerging as a means of providing true connectivity between…

Networking and Internet Architecture · Computer Science 2024-09-23 Indrakshi Dey , Nicola Marchetti , Marcello Caleffi , Angela Sara Cacciapuoti

The quantum decision theory is examined in its simplest form of two-condition two-choice setting. A set of inequalities to be satisfied by any quantum conditional probability describing the decision process is derived. Experimental data…

Quantum Physics · Physics 2010-11-22 Taksu Cheon , Taiki Takahashi

The theory of quantum games permits players to choose strategies that prepare and measure quantum states. Whereas conventional game theory provides guarantees for fixed-point stability in non-cooperative games, so-called Nash equilibria, we…

Quantum Physics · Physics 2017-12-13 Faisal Shah Khan , Travis S. Humble

Before Alan Turing made his crucial contributions to the theory of computation, he studied the question of whether quantum mechanics could throw light on the nature of free will. This article investigates the roles of quantum mechanics and…

Quantum Physics · Physics 2015-06-17 Seth Lloyd

The game in which acts of participants don't have an adequate description in terms of Boolean logic and classical theory of probabilities is considered. The model of the game interaction is constructed on the basis of a non-distributive…

Quantum Physics · Physics 2007-05-23 Andrey Grib , Georges Parfionov

We consider a quantum version of a well-known statistical decision problem, whose solution is, at first sight, counter-intuitive to many. In the quantum version a continuum of possible choices (rather than a finite set) has to be…

Quantum Physics · Physics 2007-05-23 G. M. D'Ariano , R. D. Gill , M. Keyl , B. Kuemmerer , H. Maassen , R. F. Werner