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Quantum game theory is a recently developing field of physical research. In this paper, we investigate quantum games in a systematic way. With the famous instance of the Prisoner's Dilemma, we present the fascinating properties of quantum…

量子物理 · 物理学 2007-05-23 Jiangfeng Du , Xiaodong Xu , Hui Li , Xianyi Zhou , Rongdian Han

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…

量子物理 · 物理学 2007-08-09 Robert Prevedel , Andre Stefanov , Philip Walther , Anton Zeilinger

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…

量子物理 · 物理学 2007-05-23 Sahin Kaya Ozdemir , Junichi Shimamura , Nobuyuki Imoto

A number of recent studies have focused on novel features in game theory when the games are played using quantum mechanical toolbox (entanglement, unitary operators, measurement). Researchers have concentrated in two-player-two strategy,…

量子物理 · 物理学 2007-05-23 Junichi Shimamura , Sahin Kaya Ozdemir , Nobuyuki Imoto

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.…

量子物理 · 物理学 2012-02-23 Simon J. D. Phoenix , Faisal Shah Khan

We investigate the 3-player quantum Prisoner's Dilemma with a certain strategic space, a particular Nash equilibrium that can remove the original dilemma is found. Based on this equilibrium, we show that the game is enhanced by the…

量子物理 · 物理学 2009-11-07 Jiangfeng Du , Hui Li , Xiaodong Xu , Xianyi Zhou , Rongdian Han

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…

量子物理 · 物理学 2009-11-10 Lan Zhou , Le-Man Kuang

The discontinuous dependence of the properties of a quantum game on its entanglement has been shown up to be very much like phase transitions viewed in the entanglement-payoff diagram [J. Du et al., Phys. Rev. Lett, 88, 137902 (2002)]. In…

量子物理 · 物理学 2007-05-23 Jiangfeng Du , Hui Li , Xiaodong Xu , Xianyi Zhou , Rongdian Han

We propose an experimental implementation of a quantum game algorithm in a hybrid scheme combining the quantum circuit approach and the cluster state model. An economical cluster configuration is suggested to embody a quantum version of the…

量子物理 · 物理学 2009-11-11 M. Paternostro , M. S. Tame , M. S. Kim

A new approach to play games quantum mechanically is proposed. We consider two players who perform measurements in an EPR-type setting. The payoff relations are defined as functions of *correlations*, i.e. without reference to classical or…

量子物理 · 物理学 2009-11-10 Azhar Iqbal , Stefan Weigert

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…

量子物理 · 物理学 2009-11-07 A. Iqbal

This article uses data from two experimental studies of two-person Prisoner's Dilemma games [1, 2] and compares the data with the theoretic predictions calculated with the use of a quantum game theoretical method. The experimental findings…

量子物理 · 物理学 2007-07-23 Matthias Hanauske , Steffen Bernius , Wolfgang Köenig , Berndt Dugall

The quantum mechanical approach to the well known prisoners dilemma, one of the basic examples to illustrate the concepts of Game Theory, is implemented with a classical optical resource, nonquantum entanglement between spin and orbital…

We present a quantization scheme for a three-player Prisoner's Dilemma game. It is shown that entanglement plays a dominant role in the three-player quantum game. Four different types of payoffs are identified on the basis of different…

量子物理 · 物理学 2009-11-13 M. Ramzan , M. K. Khan

The behavior of entangled quantum systems can generally not be explained as being determined by shared classical randomness. In the first part of this paper, we propose a simple game for n players demonstrating this non-local property of…

量子物理 · 物理学 2013-01-01 Renato Renner , Stefan Wolf

We use the example of playing a 2-player game with entangled quantum objects to investigate the effect of quantum correlation. We find that for simple game scenarios it is classical correlation that is the central feature and that these…

量子物理 · 物理学 2013-05-21 Simon J. D. Phoenix , Faisal Shah Khan

Quantum game theory is a rapidly evolving subject that extends beyond physics. In this research work, a schematic picture of quantum game theory has been provided with the help of the famous game Prisoners' Dilemma. It has been considered…

量子物理 · 物理学 2021-03-31 Kaushik Naskar

We quantize prisoners dilemma and chicken game by our generalized quantization scheme to explore the role of quantum discord in quantum games. In order to establish this connection we use Werner-like state as an initial state of the game.…

量子物理 · 物理学 2015-03-17 Ahmad Nawaz , A. H. Toor

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…

量子物理 · 物理学 2020-03-16 J. Eisert , M. Wilkens , M. Lewenstein

We study the extension of classical games to the quantum domain, generated by the addition of one unitary strategy to two classical strategies of each player. The conditions that need to be met by unitary operations to ensure that the…

量子物理 · 物理学 2024-04-10 Piotr Frąckiewicz , Marek Szopa
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