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Quantum theory has found a new field of applications in the realm of information and computation during the recent years. This paper reviews how quantum physics allows information coding in classically unexpected and subtle nonlocal ways,…

Quantum Physics · Physics 2008-11-26 A. Galindo , M. A. Martin-Delgado

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…

Quantum Physics · Physics 2009-10-06 Kay-Yut Chen , Tad Hogg , Raymond Beausoleil

We introduce a physical approach to social networks (SNs) in which each actor is characterized by a yes-no test on a physical system. This allows us to consider SNs beyond those originated by interactions based on pre-existing properties,…

Physics and Society · Physics 2012-07-17 Adan Cabello , Lars Eirik Danielsen , Antonio J. Lopez-Tarrida , Jose R. Portillo

Drawing on ideas from game theory and quantum physics, we investigate nonlocal correlations from the point of view of equilibria in games of incomplete information. These equilibria can be classified in decreasing power as communication…

Computer Science and Game Theory · Computer Science 2024-09-25 Vincenzo Auletta , Diodato Ferraioli , Ashutosh Rai , Giannicola Scarpa , Andreas Winter

Quantum resources outperform classical ones for certain communication and computational tasks. Remarkably, in some cases, the quantum advantage cannot be improved using hypothetical postquantum resources. A class of tasks with this property…

Quantum Physics · Physics 2012-03-06 Eleonora Nagali , Vincenzo D'Ambrosio , Fabio Sciarrino , Adan Cabello

Quantum computers take advantage of interfering quantum alternatives in order to handle problems that might be too time consuming with algorithms based on classical logic. Developing quantum computers requires new ways of thinking beyond…

Quantum Physics · Physics 2014-09-10 W. C. Parke

In this paper we give a set of necessary and sufficient conditions such that quantum players of a two-party {\sc xor} game cannot perform any better than classical players. With any such game, we associate a graph and examine its zero-error…

Quantum Physics · Physics 2014-12-17 Ravishankar Ramanathan , Alastair Kay , Gláucia Murta , Paweł Horodecki

We explore a specific parametric example of a regime change game in which a policymaker defends the status quo against a continuum of atomistic agents who seek to overthrow it. At the start of the game, the policymaker can initiate a policy…

Theoretical Economics · Economics 2025-09-08 Georgy Lukyanov

Decades of research in machine learning have given us powerful tools for making accurate predictions. But when used in social settings and on human inputs, better accuracy does not immediately translate to better social outcomes. To…

Machine Learning · Computer Science 2026-05-13 Nir Rosenfeld , Haifeng Xu

We illustrate how quantum information theory and free (i.e. noncommutative) semialgebraic geometry often study similar objects from different perspectives. We give examples in the context of positivity and separability, quantum magic…

Quantum Physics · Physics 2024-03-05 Gemma De Las Cuevas , Tim Netzer

We analyze utility of communication channels in absence of any short of quantum or classical correlation shared between the sender and the receiver. To this aim, we propose a class of two-party communication games, and show that the games…

Identifying what quantum-mechanical properties are useful to untap a superior performance in quantum technologies is a pivotal question. Quantum resource theories provide a unified framework to analyze and understand such properties, as…

Quantum Physics · Physics 2024-04-24 Kohdai Kuroiwa , Ryuji Takagi , Gerardo Adesso , Hayata Yamasaki

Game theory is central to the understanding of competitive interactions arising in many fields, from the social and physical sciences to economics. Recently, as the definition of information is generalized to include entangled quantum…

For a set of quantum states generated by the action of a group, we consider the graph obtained by considering two group elements adjacent whenever the corresponding states are non-orthogonal. We analyze the structure of the connected…

Quantum Physics · Physics 2013-09-03 Giulio Chiribella , Yuxiang Yang

Understanding the power and limitations of quantum access to data in machine learning tasks is primordial to assess the potential of quantum computing in artificial intelligence. Previous works have already shown that speed-ups in learning…

Quantum Physics · Physics 2023-07-21 Sofiene Jerbi , Arjan Cornelissen , Māris Ozols , Vedran Dunjko

The optimal allocation of resources is a crucial task for their efficient use in a wide range of practical applications in science and engineering. This paper investigates the optimal allocation of resources in multipartite quantum systems.…

Quantum Physics · Physics 2021-03-10 Roberto Salazar , Tanmoy Biswas , Jakub Czartowski , Karol Życzkowski , Paweł Horodecki

The possibility to save and process information in fundamentally indistinguishable states is the quantum mechanical resource that is not encountered in classical computing. I demonstrate that, if energy constraints are imposed, this…

Quantum Physics · Physics 2018-02-14 N. A. Sinitsyn

Quantum computers are on the verge of becoming a commercially available reality. They represent a paradigm shift in computing, with a steep learning gradient. The creation of games is a way to ease the transition for beginners. We present a…

Quantum Physics · Physics 2020-05-19 Franz G. Fuchs , Vemund Falch , Christian Johnsen

We review quantum chaos on graphs. We construct a unitary operator which represents the quantum evolution on the graph and study its spectral and wavefunction statistics. This operator is the analogue of the classical evolution operator on…

Chaotic Dynamics · Physics 2007-05-23 Tsampikos Kottos

Quantum guessing games form a versatile framework for studying different tasks of information processing. A quantum guessing game with posterior information uses quantum systems to encode messages and classical communication to give partial…

Quantum Physics · Physics 2022-06-22 Claudio Carmeli , Teiko Heinosaari , Alessandro Toigo