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We investigate the quantization of non-zero sum games. For the particular case of the Prisoners' Dilemma we show that this game ceases to pose a dilemma if quantum strategies are allowed for. We also construct a particular quantum strategy…

Quantum Physics · Physics 2020-03-16 J. Eisert , M. Wilkens , M. Lewenstein

Quantum game theory is a multidisciplinary field which combines quantum mechanics with game theory by introducing non-classical resources such as entanglement, quantum operations and quantum measurement. By transferring two-player-two…

Quantum Physics · Physics 2007-05-23 Sahin Kaya Ozdemir , Junichi Shimamura , Nobuyuki Imoto

We present a scheme for simulating the quantum network of quantum estimation proposed by A. K. Ekert et al. [Phys. Rev. Lett. 88, 217901 (2002)]. We experimentally implement the scheme with linear optical elements. We perform overlap…

Quantum Physics · Physics 2007-05-23 Zhi-Wei Wang , Jian Li , Yun-Feng Huang , Yong-Sheng Zhang , Xi-Feng Ren , Pei Zhang , Guang-Can Guo

We build new quantum games, similar to the spin flip game, where as a novelty the players perform measurements on a quantum system associated to a continuous time search algorithm. The measurements collapse the wave function into one of the…

Quantum Physics · Physics 2009-11-13 Alejandro Romanelli

A quantum version of the Monty Hall problem is proposed inspired by an experimentally-feasible, quantum-optical set-up that resembles the classical game. The expected payoff of the player is studied by analyzing the classical expectation…

Quantum Physics · Physics 2020-06-19 L. F. Quezada , A. Martín-Ruiz , A. Frank , E. Nahmad-Achar

Quantum generalizations of conventional games broaden the range of available strategies, which can help improve outcomes for the participants. With many players, such quantum games can involve entanglement among many states which is…

Quantum Physics · Physics 2009-10-06 Kay-Yut Chen , Tad Hogg , Raymond Beausoleil

Several quantum cryptographic schemes have been proposed and realized experimentally in the past. However, even with an advancement in quantum technology and escalated interest in the designing of direct secure quantum communication schemes…

Quantum Physics · Physics 2022-06-07 Mitali Sisodia , Kishore Thapliyal , Anirban Pathak

Nonlocal game as a novel witness of the nonlocality of entanglement is of fundamental importance in various fields. The known nonlocal games or equivalent linear Bell inequalities are only useful for Bell networks of single entanglement.…

Quantum Physics · Physics 2021-08-10 Ming-Xing Luo

The quantum random walk has drawn special interests because its remarkable features to the classical counterpart could lead to new quantum algorithms. In this paper, we propose a feasible scheme to implement quantum random walks on a line…

Quantum Physics · Physics 2007-05-23 Zhi Zhao , Jiangfeng Du , Hui Li , Tao Yang , Zeng-Bing Chen , Jian-Wei Pan

One of the most striking quantum phenomena is superposition, where one particle simultaneously inhabits different states. Most methods to verify coherent superposition are indirect, in that they require the distinct states to be recombined.…

We give a self contained introduction to a few quantum game protocols, starting with the quantum version of the two-player two-choice game of Prisoners dilemma, followed by a n-player generalization trough the quantum minority games, and…

Quantum Physics · Physics 2012-04-04 Puya Sharif , Hoshang Heydari

Quantum Game Theory provides us with new tools for practising games and some other risk related enterprices like, for example, gambling. The two party gambling protocol presented by Goldenberg {\it et al} is one of the simplest yet still…

Quantum Physics · Physics 2015-06-26 Ireneusz Pakula

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

This paper consider the possibility of using some quantum tools in decision making strategies. In particular, we consider here a dynamical open quantum system helping two players, $\G_1$ and $\G_2$, to take their decisions in a specific…

Physics and Society · Physics 2015-06-24 Fabio Bagarello

We propose and investigate an optical scheme for probabilistic implementation of an arbitrary single-mode quantum operation that can be expressed as a function of photon number operator. The scheme coherently combines multiple photon…

Quantum Physics · Physics 2015-05-14 Jaromir Fiurasek

We study the applicability of quantum algorithms in computational game theory and generalize some results related to Subtraction games, which are sometimes referred to as one-heap Nim games. In quantum game theory, a subset of Subtraction…

Quantum Physics · Physics 2020-06-15 Dmitry Kravchenko , Kamil Khadiev , Danil Serov , Ruslan Kapralov

We present a quantum approach to a signaling game; a special kind of extensive games of incomplete information. Our model is based on quantum schemes for games in strategic form where players perform unitary operators on their own qubits of…

Computer Science and Game Theory · Computer Science 2014-07-28 Piotr Frackiewicz

We present a linear optical scheme for error-free distribution of two-photon polarization entangled Bell states over noisy channels. The scheme can be applied to an elementary quantum repeater protocol with potentially significant…

Quantum Physics · Physics 2009-11-13 Demetrios Kalamidas

A binary constraint system game is a two-player one-round non-local game defined by a system of Boolean constraints. The game has a perfect quantum strategy if and only if the constraint system has a quantum satisfying assignment [R. Cleve…

Quantum Physics · Physics 2013-11-05 Zhengfeng Ji

We develop a rigorous mathematical framework for quantum game theory applied to static 2x2 games, extending classical concepts to the quantum setting where players may employ arbitrary unitary operations (pure strategies) or probability…

Quantum Physics · Physics 2026-05-18 Gloria Ferraris , Veronica Umanità