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We define generalized quantum games by introducing the coherent payoff operators and propose a simple scheme to illustrate it. The scheme is implemented with a single spin qubit system and two entangled qubit system. The Nash Equilibrium…

Quantum Physics · Physics 2007-05-23 X. F. Liu , C. P. Sun

We analyse two party non-local games whose predicate requires Alice and Bob to generate matching bits, and their three party extensions where a third player receives all inputs and is required to output a bit that matches that of the…

Quantum Physics · Physics 2025-03-12 Enrique Cervero-Martín , Marco Tomamichel

The Marinatto-Weber approach to quantum game is a straightforward way to apply the power of quantum mechanics to classical game theory. In the simplest case, the quantum scheme is that players manipulate their own qubits of a two-qubit…

Quantum Physics · Physics 2014-09-15 Piotr Frackiewicz

Quantum phenomena have remained largely inaccessible to the general public. This can be attributed to the fact that we do not experience quantum mechanics on a tangible level in our daily lives. Games can provide an environment in which…

Quantum Physics · Physics 2019-07-12 Christopher Cantwell

We study two forms of a symmetric cooperative game played by three players, one classical and other quantum. In its classical form making a coalition gives advantage to players and they are motivated to do so. However in its quantum form…

Quantum Physics · Physics 2009-11-07 A. Iqbal , A. H. Toor

One of the central themes in classical cryptography is multi-party computation, which performs joint computation on multiple participants' data while maintaining data privacy. The extension to the quantum regime was proposed in 2002, but…

Quantum Physics · Physics 2020-11-25 Zhu Cao

A notion of quantum conference is introduced in analogy with the usual notion of a conference that happens frequently in today's world. Quantum conference is defined as a multiparty secure communication task that allows each party to…

Quantum Physics · Physics 2022-06-10 Anindita Banerjee , Kishore Thapliyal , Chitra Shukla , Anirban Pathak

We consider an application of the mathematical formalism of quantum mechanics (QM) outside physics, namely, to game theory. We present a simple game between macroscopic players, say Alice and Bob (or in a more complex form - Alice, Bob and…

Quantum Physics · Physics 2010-11-30 Andrei Khrennikov

We report the first demonstration of a quantum game on an all-optical one-way quantum computer. Following a recent theoretical proposal we implement a quantum version of Prisoner's Dilemma, where the quantum circuit is realized by a 4-qubit…

Quantum Physics · Physics 2007-08-09 Robert Prevedel , Andre Stefanov , Philip Walther , Anton Zeilinger

In this research article, we survey existing quantum physics-related games and, based on this survey, propose a definition for the concept of quantum games. We define a quantum game as any type of rule-based game that either employs the…

Quantum Physics · Physics 2025-01-24 Laura Piispanen , Marcel Pfaffhauser , James Wootton , Julian Togelius , Annakaisa Kultima

Here we study multiplayer linear games, a natural generalization of XOR games to multiple outcomes. We generalize a recently proposed efficiently computable bound, in terms of the norm of a game matrix, on the quantum value of 2-player…

Quantum Physics · Physics 2016-02-10 Gláucia Murta , Ravishankar Ramanathan , Natália Móller , Marcelo Terra Cunha

Gamification of quantum theory can provide new inroads into the subject: by allowing users to experience simulated worlds that manifest obvious quantum behaviors they can potentially build intuition for quantum phenomena. The Qubit Factory…

Physics Education · Physics 2024-06-19 Glen Evenbly

We present a consistent formulation of quantum game theory that accommodates all possible strategies in Hilbert space. The physical content of the quantum strategy is revealed as a family of classical games representing altruistic game play…

Quantum Physics · Physics 2009-11-13 Taksu Cheon

This work initiates an analysis of several cryptographic protocols from a rational point of view using a game-theoretical approach, which allows us to represent not only the protocols but also possible misbehaviours of parties. Concretely,…

Cryptography and Security · Computer Science 2015-03-17 P. Caballero-Gil , C. Hernández-Goya , C. Bruno-Castañeda

Quantum Computing (QC) is often challenging for beginners due to its abstract concepts and mathematical foundations. This paper explores the use of gamification to support the learning of introductory QC concepts. To investigate this,…

Computers and Society · Computer Science 2026-04-28 Bella Hill , Miguel Morales-Trujillo

We present a proposal for optically implementing the quantum game of the two-player quantum prisoner's dilemma involving nonmaximally entangled states by using beam splitters, phase shifters, cross-Kerr medium, photon detector and the…

Quantum Physics · Physics 2009-11-10 Lan Zhou , Le-Man Kuang

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

The main purpose of this study is to introduce a semi-classical model describing betting scenarios in which, at variance with conventional approaches, the payoff of the gambler is encoded into the internal degrees of freedom of a quantum…

Quantum Physics · Physics 2021-09-22 Salvatore Tirone , Maddalena Ghio , Giulia Livieri , Vittorio Giovannetti , Stefano Marmi

Theory of quantum games is a new area of investigation that has gone through rapid development during the last few years. Initial motivation for playing games, in the quantum world, comes from the possibility of re-formulating quantum…

Quantum Physics · Physics 2007-05-23 Azhar Iqbal

In recent years methods have been proposed to extend classical game theory into the quantum domain. This paper explores further extensions of these ideas that may have a substantial potential for further research. Upon reformulating quantum…

Quantum Physics · Physics 2007-05-23 F. M. C. Witte
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