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We study a quantum version of the sequential game illustrating problems connected with making rational decisions. We compare the results that the two models (quantum and classical) yield. In the quantum model intransitivity gains importance…

量子物理 · 物理学 2007-05-23 Marcin Makowski , Edward W. Piotrowski

An interaction system has a finite set of agents that interact pairwise, depending on the current state of the system. Symmetric decomposition of the matrix of interaction coefficients yields the representation of states by self-adjoint…

量子物理 · 物理学 2017-06-07 Ulrich Faigle , Michel Grabisch

Quantum mechanics dramatically differs from classical physics, allowing for a wide range of genuinely quantum phenomena. The goal of quantum information is to understand information processing from a quantum perspective. In this mindset, it…

量子物理 · 物理学 2012-05-15 Antonio Acín , Mafalda L. Almeida , Remigiusz Augusiak , Nicolas Brunner

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 study a quantum game played by two players with restricted multiple strategies. It is found that in this restricted quantum game Nash equilibrium does not always exist when the initial state is entangled. At the same time, we find that…

量子物理 · 物理学 2018-01-17 Bo Chen , Ying-Jun Ma , Gui Lu Long

Understanding the role of classical and quantum correlations in work extraction is a problem of fundamental importance in thermodynamics. We approach this problem by considering that, in closed quantum systems, the maximum cyclic work…

量子物理 · 物理学 2022-05-18 Gianluca Francica

Although significant progress has been made in decision-making for automated driving, challenges remain for deployment in the real world. One challenge lies in addressing interaction-awareness. Most existing approaches oversimplify…

机器人学 · 计算机科学 2026-02-10 Karim Essalmi , Fernando Garrido , Fawzi Nashashibi

We initiate a study of random instances of nonlocal games. We show that quantum strategies are better than classical for almost any 2-player XOR game. More precisely, for large n, the entangled value of a random 2-player XOR game with n…

Interesting connection has been established between two apparently unrelated concepts, namely, quantum nonlocality and Bayesian game theory. It has been shown that nonlocal correlations in the form of advice can outperform classical…

量子物理 · 物理学 2016-09-23 Arup Roy , Amit Mukherjee , Tamal Guha , Sibasish Ghosh , Some Sankar Bhattacharya , Manik Banik

Speculative trading can drive pronounced market instabilities, yet existing regulatory and macroprudential tools intervene only after such dynamics emerge. Quantum technologies offer a fundamentally new means of shaping economic behavior by…

Quantum mechanics for a four-state-system is derived from classical statistics. Entanglement, interference, the difference between identical fermions or bosons and the unitary time evolution find an interpretation within a classical…

量子物理 · 物理学 2009-10-06 C. Wetterich

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 propose a non-classical multi-player entangled state which eliminates the need for communication, yet can solve problems (that require coordination) better than classical approaches. For the entangled state, we propose a slater…

量子物理 · 物理学 2009-03-24 Sudhakar Yarlagadda

We numerically analyze the dynamical generation of quantum entanglement in a system of 2 interacting particles, started in a coherent separable state, for decreasing values of $\hbar$. As $\hbar\to 0$ the entanglement entropy, computed at…

量子物理 · 物理学 2015-05-30 Giulio Casati , Italo Guarneri , Jose Reslen

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…

量子物理 · 物理学 2019-07-12 Christopher Cantwell

Categorical quantum mechanics, which examines quantum theory via dagger-compact closed categories, gives satisfying high-level explanations to the quantum information procedures such as Bell-type entanglement or complementary observables…

量子物理 · 物理学 2014-05-20 Ali Nabi Duman

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…

量子物理 · 物理学 2020-06-19 L. F. Quezada , A. Martín-Ruiz , A. Frank , E. Nahmad-Achar

The quantum advantage arising in a simplified multi-player quantum game, is found to be a disadvantage when the game's qubit-source is corrupted by a noisy "demon". Above a critical value of the corruption-rate, or noise-level, the coherent…

量子物理 · 物理学 2009-11-06 Neil F. Johnson

We pursue a general theory of quantum games. We show that quantum games are more efficient than classical games, and provide a saturated upper bound for this efficiency. We demonstrate that the set of finite classical games is a strict…

量子物理 · 物理学 2008-09-19 Chiu Fan Lee , Neil Johnson

Consider a bipartite quantum system with at least one of its two components being itself a composite system. By tracing over part of one (or both) of these two subsystems it is possible to obtain a reduced (separable) state that exhibits…

量子物理 · 物理学 2015-04-10 Guido Bellomo , Ana P. Majtey , A. R. Plastino , A. Plastino