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We consider two-stage hybrid protocols that combine quantum resource and classical resource to generate classical correlations shared by two separated players. Our motivation is twofold. First, in the near future the scale of quantum…

量子物理 · 物理学 2020-07-22 Xiaodie Lin , Zhaohui Wei , Penghui Yao

A quantum logic gate of particular interest to both electrical engineers and game theorists is the quantum multiplexer. This shared interest is due to the facts that an arbitrary quantum logic gate may be expressed, up to arbitrary…

量子物理 · 物理学 2009-06-04 Faisal Shah Khan

We study how strategic interaction can arise from controlled quantum dynamics rather than being imposed as an external mathematical structure. We introduce a class of interaction-defined quantum games in which players are represented by…

量子物理 · 物理学 2026-04-23 Rashid Ahmad

Communication games are collaborative information processing tasks involving a number of players with limited communication. Such games are useful tools for studying physical theories. A physical theory exhibits preparation contextuality…

量子物理 · 物理学 2017-05-15 Armin Tavakoli

The relationship between classical and quantum mechanics is usually understood via the limit $\hbar \rightarrow 0$. This is the underlying idea behind the quantization of classical objects. The apparent incompatibility of general relativity…

量子物理 · 物理学 2021-03-15 J. -B. Bru , W. de Siqueira Pedra

We reason about possible future development of quantum game theory and its impact on information processing and the emerging information society. Two of the authors have recently proposed a quantum description of financial market in terms…

量子物理 · 物理学 2007-05-23 Ireneusz Pakula , Edward W. Piotrowski , Jan Sladkowski

Quantum correlations reflect the quantumness of a system and are useful resources for quantum information and computational processes. The measures of quantum correlations do not have a classical analog and yet are influenced by the…

量子物理 · 物理学 2018-07-23 Udaysinh T. Bhosale , M. S. Santhanam

We investigate the quantization of games in which the players can access to a continuous set of classical strategies, making use of continuous-variable quantum systems. For the particular case of the Cournot's Duopoly, we find that, even…

量子物理 · 物理学 2009-11-07 Hui Li , Jiangfeng Du , Serge Massar

We pursue the possible connections between classical games and quantum computation. The Parrondo game is one in which a random combination of two losing games produces a winning game. We introduce novel realizations of this Parrondo effect…

量子物理 · 物理学 2007-05-23 Chiu Fan Lee , Neil Johnson

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…

量子物理 · 物理学 2007-05-23 G. M. D'Ariano , R. D. Gill , M. Keyl , B. Kuemmerer , H. Maassen , R. F. Werner

Classical game theory addresses decision problems in multi-agent environment where one rational agent's decision affects other agents' payoffs. Game theory has widespread application in economic, social and biological sciences. In recent…

经济学 · 定量金融 2018-02-23 Ali Hussein Samadi , Afshin Montakhab , Hussein Marzban , Sakine Owjimehr

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…

计算机科学与博弈论 · 计算机科学 2009-12-02 Xiaofei Huang

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

Nonlocality enables two parties to win specific games with probabilities strictly higher than allowed by any classical theory. Nevertheless, all known such examples consider games where the two parties have a common interest, since they…

We consider the classical correlations that two observers can extract by measurements on a bipartite quantum state, and we discuss how they are related to the quantum mutual information of the state. We show with several examples how…

量子物理 · 物理学 2009-09-19 Shengjun Wu , Uffe V. Poulsen , Klaus Mølmer

We analyse the role of degree of entanglement for Vaidman's game in a setting where the players share a set of partially entangled three-qubit states. Our results show that the entangled states combined with quantum strategies may not be…

量子物理 · 物理学 2018-07-17 Hargeet Kaur , Atul Kumar

While it is known that shared quantum entanglement can offer improved solutions to a number of purely cooperative tasks for groups of remote agents, controversy remains regarding the legitimacy of quantum games in a competitive setting--in…

量子物理 · 物理学 2015-05-14 Charles D. Hill , Adrian P. Flitney , Nicolas C. Menicucci

We consider the role of quantum correlations in the efficient use of information by a predictive quantum system, generalizing a recently proposed classical measure of non-predictive information to the quantum regime. We show that, as a…

量子物理 · 物理学 2014-08-27 Arne L. Grimsmo

We develop a resource-theoretical approach that allows us to quantify values of two-player, one-round cooperative games with quantum inputs and outputs, as well as values of quantum probabilistic hypergraphs. We analyse the quantum game…

量子物理 · 物理学 2023-10-30 Jason Crann , Rupert H. Levene , Ivan G. Todorov , Lyudmila Turowska

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…

量子物理 · 物理学 2010-11-30 Andrei Khrennikov