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One of the earliest cryptographic applications of quantum information was to create quantum digital cash that could not be counterfeited. In this paper, we describe a new type of quantum money: quantum coins, where all coins of the same…

Quantum Physics · Physics 2010-09-07 Michele Mosca , Douglas Stebila

We present a game-theoretic perspective on the problems of quantum state estimation and quantum cloning. This enables us to show why the focus on universal machines and the different measures of success, as employed in previous works, are…

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

In this paper we present a QUBO formulation for the Takuzu game (or Binairo), for the most recent LinkedIn game, Tango, and for its generalizations. We optimize the number of variables needed to solve the combinatorial problem, making it…

Other Computer Science · Computer Science 2025-02-11 Alejandro Mata Ali , Edgar Mencia

This paper coins the notion of Joker games, a variant of concurrent games where the players are not strictly adversarial. Instead, Player 1 can get help from Player 2 by playing a Joker move. We formalize these games as cost games and…

Computer Science and Game Theory · Computer Science 2025-03-26 Petra van den Bos , Marielle Stoelinga

Qubit Touchdown is a two-player, competitive board game that was developed to introduce students to quantum computing. A quantum computer is a new kind of computer that is based on the laws of quantum physics, and it can solve certain…

Physics Education · Physics 2025-06-17 Kristina Armbruster , Gintaras Duda , Thomas G. Wong

In a mean-payoff parity game, one of the two players aims both to achieve a qualitative parity objective and to minimize a quantitative long-term average of payoffs (aka. mean payoff). The game is zero-sum and hence the aim of the other…

Computer Science and Game Theory · Computer Science 2020-01-15 Laure Daviaud , Marcin Jurdzinski , Ranko Lazic

Nonlocal games yield an unusual perspective on entangled quantum states. The defining property of such games is that a set of players in joint possession of an entangled state can win the game with higher probability than is allowed by…

Quantum Physics · Physics 2023-01-18 Vir B. Bulchandani , Fiona J. Burnell , S. L. Sondhi

We present a systematic investigation of the quantum games, constructed using a novel repeated game protocol, when played repeatedly ad infinitum. We focus on establishing that such repeated games -- by virtue of inherent quantum-mechanical…

Quantum Physics · Physics 2024-02-27 Archan Mukhopadhyay , Saikat Sur , Tanay Saha , Shubhadeep Sadhukhan , Sagar Chakraborty

In these lecture notes we investigate the implications of the identification of strategies with quantum operations in game theory beyond the results presented in [J. Eisert, M. Wilkens, and M. Lewenstein, Phys. Rev. Lett. 83, 3077 (1999)].…

Quantum Physics · Physics 2015-06-26 J. Eisert , M. Wilkens

Quantum technologies, i.e., technologies benefiting from the features of quantum physics such as objective randomness, superposition, and entanglement, have enabled an entirely different way of distributing and processing information. The…

Quantum Physics · Physics 2024-06-05 Lea Kopf , Markus Hiekkamäki , Shashi Prabhakar , Robert Fickler

We consider quantum variants of Parrondo games on low-dimensional Hilbert spaces. The two games which form the Parrondo game are implemented as quantum walks on a small cycle of length $M$. The dimension of the Hilbert space is $2M$. We…

Quantum Physics · Physics 2023-06-30 Andreas Mielke

The explicit construction is presented of two-player game satisfying: (i) symmetry with respect to the permutation of the players; (ii) the existence of upper bound on total payoff following from Bell inequality; (iii) the existence of…

Quantum Physics · Physics 2017-09-01 Katarzyna Bolonek-Lasoń

We apply a Bayesian agent-based framework inspired by QBism to iterations of two quantum games, the CHSH game and the quantum prisoners' dilemma. In each two-player game, players hold beliefs about an amount of shared entanglement and about…

Quantum Physics · Physics 2026-04-28 John B. DeBrota , Peter J. Love

Quantum games embody non-intuitive consequences of quantum phenomena, such as entanglement and contextuality. The Mermin-Peres game is a simple example, demonstrating how two players can utilise shared quantum information to win a no -…

Quantum Physics · Physics 2024-03-15 Colm Kelleher , Frédéric Holweck , Péter Lévay

In a one-off Minority game, when a group of players agree to collaborate they gain an advantage over the remaining players. We consider the advantage obtained in a quantum Minority game by a coalition sharing an initially entangled state…

Quantum Physics · Physics 2009-11-13 Adrian P. Flitney , Andrew D. Greentree

Quantum game theory lays a foundation for understanding the interaction of people using quantum computers with conflicting interests. Recently Zhang proposed a simple yet rich model to study quantum strategic games, and addressed some…

Quantum Physics · Physics 2011-05-27 Zhaohui Wei , Shengyu Zhang

A setup is proposed to play a quantum version of the famous bimatrix game of Prisoners' Dilemma. Multi-slit electron diffraction with each player's pure strategy consisting of opening one of the two slits at his/her disposal are essential…

Quantum Physics · Physics 2009-11-07 A. Iqbal

An asymmetric generalization of classical Cournot's duopoly game was introduced and the simulation scheme of its quantized version was analyzed. In this scheme, the player assigned by a 'classical' measurement scheme always wins the player…

Quantum Physics · Physics 2013-06-26 Shang-Bin Li

In this paper, we explore the historical development of playable quantum physics related games (\textit{\textbf{quantum games}}). For the purpose of this examination, we have collected over 260 quantum games ranging from commercial games,…

General Literature · Computer Science 2024-08-20 Laura Piispanen , Edward Morrell , Solip Park , Marcell Pfaffhauser , Annakaisa Kultima

Coalition Structure Generation (CSG) is an NP-Hard problem in which agents are partitioned into mutually exclusive groups to maximize their social welfare. In this work, we propose QuACS, a novel hybrid quantum classical algorithm for…

Quantum Physics · Physics 2023-04-17 Supreeth Mysore Venkatesh , Antonio Macaluso , Matthias Klusch
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