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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…

量子物理 · 物理学 2009-11-13 Alejandro Romanelli

In a two-stage repeated classical game of prisoners' dilemma the knowledge that both players will defect in the second stage makes the players to defect in the first stage as well. We find a quantum version of this repeated game where the…

量子物理 · 物理学 2015-06-26 A. Iqbal , A. H. Toor

Two-player zero-sum repeated games are well understood. Computing the value of such a game is straightforward. Additionally, if the payoffs are dependent on a random state of the game known to one, both, or neither of the players, the…

信息论 · 计算机科学 2009-11-05 Paul Cuff

In this letter we show that communication when restricted to a single information carrier (i.e. single particle) and finite speed of propagation is fundamentally limited for classical systems. On the other hand, quantum systems can surpass…

量子物理 · 物理学 2018-02-22 Flavio Del Santo , Borivoje Dakić

Quantum game theory is the study of strategic behavior by agents with access to quantum technology. Broadly speaking, this technology can be employed in either of two ways: As part of a randomization device or as part of a communications…

最优化与控制 · 数学 2011-10-31 Steven E. Landsburg

Games are useful tools for introducing new concepts to students. This paper describes a competitive two-player game for sophomore students in a modern physics survey course or junior/senior students in an introductory quantum mechanics…

物理教育 · 物理学 2018-06-21 Theodore A. Corcovilos

Recently the concept of quantum information has been introduced into game theory. Here we present the first study of quantum games with more than two players. We discover that such games can possess a new form of equilibrium strategy, one…

量子物理 · 物理学 2007-05-23 Simon C. Benjamin , Patrick M. Hayden

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…

物理与社会 · 物理学 2015-06-24 Fabio Bagarello

In quantum game theory, one of the most intriguing and important questions is, "Is it possible to get quantum advantages without any modification of the classical game?" The answer to this question so far has largely been negative. So far,…

量子物理 · 物理学 2016-02-16 Jeongho Bang , Junghee Ryu , Marcin Pawłowski , B. S. Ham , Jinhyoung Lee

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 investigate a multi-player and multi-choice quantum game. We start from two-player and two-choice game and the result is better than its classical version. Then we extend it to N-player and N-choice cases. In the quantum domain, we…

量子物理 · 物理学 2009-11-06 Jiangfeng Du , Hui Li , Xiaodong Xu , Xianyi Zhou , Rongdian Han

In a seminal paper, Meyer [David Meyer, Phys. Rev. Lett. 82, 1052 (1999)] described the advantages of quantum game theory by looking at the classical penny flip game. A player using a quantum strategy can win against a classical player…

量子物理 · 物理学 2015-10-29 Namit Anand , Colin Benjamin

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…

量子物理 · 物理学 2009-10-06 Kay-Yut Chen , Tad Hogg , Raymond Beausoleil

Quantum game theory offers a lot of interesting questions, and it is relevant to use the quantum information theory to resolve or improve games with lack of information : how to use the power of quantum entanglement to show the superiority…

量子物理 · 物理学 2007-05-23 Sylvain Gravier , Philippe Jorrand , Mehdi Mhalla , Charles Payan

In classical Monty Hall problem, one player can always win with probability 2/3. We generalize the problem to the quantum domain and show that a fair two-party zero-sum game can be carried out if the other player is permitted to adopt…

量子物理 · 物理学 2009-11-06 Chuan-Feng Li , Yong-Sheng Zhang , Yun-Feng Huang , Guang-Can Guo

We consider two-player games played over finite state spaces for an infinite number of rounds. At each state, the players simultaneously choose moves; the moves determine a successor state. It is often advantageous for players to choose…

计算机科学中的逻辑 · 计算机科学 2015-07-01 Luca de Alfaro , Rupak Majumdar , Vishwanath Raman , Mariëlle Stoelinga

We consider the problem of a particular kind of quantum correlation that arises in some two-party games. In these games, one player is presented with a question they must answer, yielding an outcome of either 'win' or 'lose'. Molina and…

量子物理 · 物理学 2017-03-14 Srinivasan Arunachalam , Abel Molina , Vincent Russo

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 devised a protocol that allows two parties, who may malfunction or intentionally convey incorrect information in communication through a quantum channel, to verify each other's measurements and agree on each other's results. This has…

量子物理 · 物理学 2023-09-07 Kazuki Ikeda , Adam Lowe

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…

计算机科学与博弈论 · 计算机科学 2014-07-28 Piotr Frackiewicz
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