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We study the advantages of quantum strategies in evolutionary social dilemmas on evolving random networks. We focus our study on the two-player games: prisoner's dilemma, snowdrift and stag-hunt games. The obtained result show the benefits…

Physics and Society · Physics 2020-11-10 Łukasz Pawela

This article summarises the current status of classical communication networks and identifies some critical open research challenges that can only be solved by leveraging quantum technologies. By now, the main goal of quantum communication…

Information Theory · Computer Science 2021-06-08 Roberto Ferrara , Riccardo Bassoli , Christian Deppe , Frank H. P. Fitzek , Holger Boche

In this work we propose a quantum version of a generalized Monty Hall game, that is, one in which the parameters of the game are left free, and not fixed on its regular values. The developed quantum scheme is then used to study the expected…

Quantum Physics · Physics 2021-02-03 L. F. Quezada , Shi-Hai Dong

In this paper, we generalize to three players the well-known CHSH quantum game. To do so, we consider all possible 3 variables Boolean functions and search among them which ones correspond to a game scenario with a quantum advantage (for a…

Quantum Physics · Physics 2023-12-04 Hamza Jaffali , Frédéric Holweck

Random access codes have provided many examples of quantum advantage in communication, but concern only one kind of information retrieval task. We introduce a related task - the Torpedo Game - and show that it admits greater quantum…

Quantum Physics · Physics 2022-07-15 Pierre-Emmanuel Emeriau , Mark Howard , Shane Mansfield

This paper unifies the concepts of evolutionary games and quantum strategies. First, we state the formulation and properties of classical evolutionary strategies, with focus on the destinations of evolution in 2-player 2-strategy games. We…

Quantum Physics · Physics 2011-04-21 Ming Lam Leung

We consider a class of games between two competing players that take turns acting on the same many-body quantum register. Each player can perform unitary operations on the register, and after each one of them acts on the register the energy…

Quantum Physics · Physics 2024-08-19 Rebecca Erbanni , Antonios Varvitsiotis , Dario Poletti

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 consider game theory from the perspective of quantum algorithms. Strategies in classical game theory are either pure (deterministic) or mixed (probabilistic). We introduce these basic ideas in the context of a simple example, closely…

Quantum Physics · Physics 2009-10-31 David A. Meyer

It is known in the context of decentralised control that there exist control strategies consistent with the requirements of a given information structure, yet physically unimplementable through any amount of passive common randomness. This…

Systems and Control · Electrical Eng. & Systems 2023-06-21 Shashank A. Deshpande , Ankur A. Kulkarni

Games involving quantum strategies often yield higher payoff. Here, we study a practical realization of the three-player dilemma game using the superconductivity-based quantum processors provided by IBM Q Experience. We analyze the…

Quantum Physics · Physics 2022-06-07 Pranav Kairon , Kishore Thapliyal , R. Srikanth , Anirban Pathak

Remote entanglement enables coordinated decision making without communication and produces correlations beyond those achievable by any classical strategy, representing a practical quantum advantage in time-critical distributed…

Quantum Physics · Physics 2026-04-10 Changhao Li , Seigo Kikura , Akihisa Goban , Hayata Yamasaki , Shinichi Sunami

We present the first study of a dynamical quantum game. Each agent has a `memory' of her performance over the previous m timesteps, and her strategy can evolve in time. The game exhibits distinct regimes of optimality. For small m the…

Quantum Physics · Physics 2007-05-23 Roland Kay , Neil F. Johnson , Simon C. Benjamin

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

I give an analysis of the simplest non-commutative quantum game, which is a gambling game much like Heads or Tails. The quantum gamespace displays strategies which are not interpretable through direct-product strategies of the two players.…

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

We introduce and analyze a quantum analogue of the Law of Excluded Gambling Strategies of Classical Decision Theory by the definition of different kind of quantum casinos. The necessity of keeping into account entaglement (by the way we…

Quantum Physics · Physics 2007-05-23 Gavriel Segre

Quantum entanglement is known to provide a strong advantage in many two-party distributed tasks. We investigate the question of how much entanglement is needed to reach optimal performance. For the first time we show that there exists a…

Quantum Physics · Physics 2015-08-25 Laura Mančinska , Thomas Vidick

Recent development in quantum computation and quantum information theory allows to extend the scope of game theory for the quantum world. The authors have recently proposed a quantum description of financial market in terms of quantum game…

Quantum Physics · Physics 2007-05-23 Edward W. Piotrowski , Jan Sladkowski

Iterated bipartite quantum games are implemented in terms of the discrete-time quantum walk on the line. Our proposal allows for conditional strategies, as two rational agents make a choice from a restricted set of two-qubit unitary…

Quantum Physics · Physics 2008-07-31 G. Abal , R. Donangelo , H. Fort

Game theory is central to the understanding of competitive interactions arising in many fields, from the social and physical sciences to economics. Recently, as the definition of information is generalized to include entangled quantum…