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Finding a counterfeit coin with the different weight from a set of visually identical coin using a balance, usually a two-armed balance, known as the balance question, is an intersting and inspiring question. Its variants involve…

Information Theory · Computer Science 2020-07-28 Fangqi Li

The emergence of quantum technologies is heating up the debate on quantum supremacy, usually focusing on the feasibility of looking good on paper algorithms in realistic settings, due to the vulnerability of quantum systems to myriad…

Quantum Physics · Physics 2020-12-21 Sinan Bugu , Fatih Ozaydin , Tetsuo Kodera

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…

Quantum Physics · Physics 2007-05-23 Chiu Fan Lee , Neil Johnson

The challenge of programming classical computers to play traditional, competitive games against human players has helped to advance classical hardware and software. Quantum computers have the potential to play games in a unique way:…

Emerging Technologies · Computer Science 2026-04-28 Tristan Zaborniak , Vikram Khipple Mulligan

We initiate the study of quantum races, games where two or more quantum computers compete to solve a computational problem. While the problem of dueling algorithms has been studied for classical deterministic algorithms, the quantum case…

Quantum Physics · Physics 2018-09-28 Troy Lee , Maharshi Ray , Miklos Santha

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

Recently developed quantum algorithms suggest that quantum computers can solve certain problems and perform certain tasks more efficiently than conventional computers. Among other reasons, this is due to the possibility of creating…

Quantum Physics · Physics 2007-05-23 Rolando D. Somma

Quantum methods allow to reduce communication complexity of some computational tasks, with several separated partners, beyond classical constraints. Nevertheless, experimental demonstrations of this fact are thus far limited to some…

Quantum Physics · Physics 2014-06-18 S. Muhammad , A. Tavakoli , M. Kurant , M. Pawlowski , M. Zukowski , M. Bourennane

Repeated quantum game theory addresses long term relations among players who choose quantum strategies. In the conventional quantum game theory, single round quantum games or at most finitely repeated games have been widely studied, however…

Quantum Physics · Physics 2023-12-12 Kazuki Ikeda , Shoto Aoki

The uncertainty principle sets lower bound on the uncertainties of two incompatible observables measured on a particle. The uncertainty lower bound can be reduced by considering a particle as a quantum memory entangled with the measured…

Quantum Physics · Physics 2016-11-10 F. Adabi , S. Haseli , S. Salimi

This paper investigates the role of interaction and coins in public-coin quantum interactive proof systems (also called quantum Arthur-Merlin games). While prior works focused on classical public coins even in the quantum setting, the…

Quantum Physics · Physics 2019-05-23 Hirotada Kobayashi , François Le Gall , Harumichi Nishimura

Game versions of the Monty Hall Problem are discussed. The focus is on the principle of eliminating the dominated strategies, both in the zero-sum and noncooperative formulations.

History and Overview · Mathematics 2011-05-10 Alexander Gnedin

Self-testing is a method to verify that one has a particular quantum state from purely classical statistics. For practical applications, such as device-independent delegated verifiable quantum computation, it is crucial that one self-tests…

Quantum Physics · Physics 2022-04-01 Sean A. Adamson , Petros Wallden

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…

Quantum games, like quantum algorithms, exploit quantum entanglement to establish strong correlations between strategic player actions. This paper introduces quantum game-theoretic models applied to trading and demonstrates their…

Quantum Physics · Physics 2025-04-21 Faisal Shah Khan , Norbert M. Linke , Anton Trong Than , Dror Baron

We analyze the quantum penny flip game using geometric algebra and so determine all possible unitary transformations which enable the player Q to implement a winning strategy. Geometric algebra provides a clear visual picture of the quantum…

Quantum Physics · Physics 2015-05-13 James M. Chappell , Azhar Iqbal , M. A. Lohe , Lorenz von Smekal

A fundamental task in modern cryptography is the joint computation of a function which has two inputs, one from Alice and one from Bob, such that neither of the two can learn more about the other's input than what is implied by the value of…

Quantum Physics · Physics 2012-11-13 Harry Buhrman , Matthias Christandl , Christian Schaffner

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…

Physics Education · Physics 2018-06-21 Theodore A. Corcovilos

Consider a game where a refereed a referee chooses (x,y) according to a publicly known distribution P_XY, sends x to Alice, and y to Bob. Without communicating with each other, Alice responds with a value "a" and Bob responds with a value…

Computational Complexity · Computer Science 2009-08-07 Thomas Holenstein

We introduce a quantum cloning game in which $k$ separate collaborative parties receive a classical input, determining which of them has to share a maximally entangled state with an additional party (referee). We provide the optimal winning…

Quantum Physics · Physics 2025-10-22 Llorenç Escolà-Farràs , Léo Colisson Palais , Florian Speelman