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Contextuality is arguably the fundamental property that makes quantum mechanics different from classical physics. It is responsible for quantum computational speedups in both magic-state-injection-based and measurement-based models of…

量子物理 · 物理学 2025-12-19 Oliver Hart , David T. Stephen , Evan Wickenden , Rahul Nandkishore

We analyze quantum game with correlated noise through generalized quantization scheme. Four different combinations on the basis of entanglement of initial quantum state and the measurement basis are analyzed. It is shown that the advantage…

量子物理 · 物理学 2009-11-13 Ahmad Nawaz , A. H. Toor

Here we study multiplayer linear games, a natural generalization of XOR games to multiple outcomes. We generalize a recently proposed efficiently computable bound, in terms of the norm of a game matrix, on the quantum value of 2-player…

量子物理 · 物理学 2016-02-10 Gláucia Murta , Ravishankar Ramanathan , Natália Móller , Marcelo Terra Cunha

Synchronous linear constraint system games are nonlocal games that verify whether or not two players share a solution to a given system of equations. Two algebraic objects associated to these games encode information about the existence of…

量子物理 · 物理学 2021-03-17 Adina Goldberg

The famous CHSH game can be interpreted with Boolean functions while understanding the success probability in the classical scenario. In this paper, we have exhaustively studied all the Boolean functions on four variables to express binary…

量子物理 · 物理学 2023-06-27 Jyotirmoy Basak , Subhamoy Maitra , Prabal Paul , Animesh Roy

We study games with finitely many participants, each having finitely many choices. We consider the following categories of participants: (I) populations: sets of nonatomic agents, (II) atomic splittable players, (III) atomic non splittable…

最优化与控制 · 数学 2015-10-22 Sylvain Sorin , Cheng Wan

Local simultaneous state discrimination (LSSD) is a recently introduced problem in quantum information processing. Its classical version is a non-local game played by non-communicating players against a referee. Based on a known probability…

Nonlocal quantum games provide proof of principle that quantum resources can confer advantage at certain tasks. They also provide a compelling way to explore the computational utility of phases of matter on quantum hardware. In a recent…

量子物理 · 物理学 2024-12-20 Oliver Hart , David T. Stephen , Dominic J. Williamson , Rahul Nandkishore

When two spatially separated parties make measurements on an unknown entangled quantum state, what correlations can they achieve? How difficult is it to determine whether a given correlation is a quantum correlation? These questions are…

量子物理 · 物理学 2025-04-10 Honghao Fu , Carl A. Miller , William Slofstra

We introduce concurrent quantum non-local games, quantum output mirror games and concurrent classical-to-quantum non-local games, as quantum versions of synchronous non-local games, and provide tracial characterisations of their perfect…

算子代数 · 数学 2021-06-23 Michael Brannan , Samuel J. Harris , Ivan G. Todorov , Lyudmila Turowska

A communication game consists of distributed parties attempting to jointly complete a task with restricted communication. Such games are useful tools for studying limitations of physical theories. A theory exhibits preparation contextuality…

量子物理 · 物理学 2017-12-06 Alley Hameedi , Armin Tavakoli , Breno Marques , Mohamed Bourennane

The paper discusses coordination games with remote players that have access to an entangled quantum state. It shows that the entangled state cannot be used by players for communicating information, but that in certain games it can be used…

量子物理 · 物理学 2007-05-23 Vladislav Kargin

Coordination games with explicit spatial or relational structure are of interest to economists, ecologists, sociologists, and others studying emergent global properties in collective behavior. When assemblies of individuals seek to…

动力系统 · 数学 2025-06-18 John S. McAlister , Nina H. Fefferman , Tadele A. Mengesha

We formulate a series of non-trivial equalities which are satisfied by all no-signaling correlations, meaning that no faster-than-light communication is allowed with the resource of these correlations. All quantum and classical correlations…

量子物理 · 物理学 2014-10-01 He-Ming Wang , Heng-Yun Zhou , Liang-Zhu Mu , Heng Fan

We introduce a new class of non-local games, and corresponding densities, which we call bisynchronous. Bisynchronous games are a subclass of synchronous games and exhibit many interesting symmetries when the algebra of the game is…

量子物理 · 物理学 2020-12-07 Vern I. Paulsen , Mizanur Rahaman

Whether uniquely quantum resources confer advantages in fully classical, competitive environments remains an open question. Competitive zero-sum reinforcement learning is particularly challenging, as success requires modelling dynamic…

量子物理 · 物理学 2026-03-12 Peiyong Wang , Kieran Hymas , James Quach

Bell inequality violation is the phenomenon where multiple non-communicating parties can exhibit correlations using quantum resources that are impossible if they can only use classical resources. One way to enforce non-communication is to…

量子物理 · 物理学 2025-10-31 Dawei Ding , Zhengfeng Ji , Pierre Pocreau , Mingze Xu , Xinyu Xu

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

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

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