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Quantum sensing encompasses highly promising techniques with diverse applications including noise-reduced imaging, super-resolution microscopy as well as imaging and spectroscopy in challenging spectral ranges. These detection schemes use…

Quantum Physics · Physics 2022-11-23 Felix Riexinger , Mirco Kutas , Björn Haase , Michael Bortz , Georg von Freymann

The Decodoku project seeks to let users get hands-on with cutting-edge quantum research through a set of simple puzzle games. The design of these games is explicitly based on the problem of decoding qudit variants of surface codes. This…

Quantum Physics · Physics 2017-12-29 James R. Wootton

We develop methods to formally describe and compare games, in order to probe questions of game structure and design, and as a stepping stone to predicting player behavior from design patterns. We define a grammar-like formalism to describe…

Logic in Computer Science · Computer Science 2021-01-05 Paul Riggins , David McPherson

We introduce quantum XOR games, a model of two-player one-round games that extends the model of XOR games by allowing the referee's questions to the players to be quantum states. We give examples showing that quantum XOR games exhibit a…

Quantum Physics · Physics 2012-07-23 Oded Regev , Thomas Vidick

We propose a communication game in the sequential measurement scenario, involving a sender and two receivers with restricted communication among the latter parties. In the framework of the prepare-transform-measure scenario, we find a…

Quantum Physics · Physics 2026-02-17 Pritam Roy , Subhankar Bera , A. S. Majumdar , Shiladitya Mal

The aim of this paper is to bring together the notions of quantum game and game isomorphism. The work is intended as an attempt to introduce a new criterion for quantum game schemes. The generally accepted requirement forces a quantum…

Computer Science and Game Theory · Computer Science 2017-01-23 Piotr Frackiewicz

Examples of games between two partners with mixed strategies, calculated by the use of the probability amplitude are given. The first game is described by the quantum formalism of spin one half system for which two noncommuting observables…

Quantum Physics · Physics 2015-06-26 A. A. Grib , A. Yu. Khrennikov , K. Starkov

This letter reports a novel application of game theory to quantum informational processes which can be used to optimally classify data generated by these processes. To this end, the notion of simultaneously distinguishing a pure quantum…

Quantum Physics · Physics 2015-07-28 Faisal Shah Khan

The notion of quantum information related to the two different perspectives of the global and local states is examined. There is circularity in the definition of quantum information because we can speak only of the information of systems…

Quantum Physics · Physics 2007-05-23 Subhash Kak

Quantum state targeting is a quantum game which results from combining traditional quantum state estimation with additional classical information. We consider a particular version of the game and show how it can be played with maximally…

Quantum Physics · Physics 2009-11-10 H. Bechmann-Pasquinucci

The coherence of an individual quantum state can be meaningfully discussed only when referring to a preferred basis. This arbitrariness can however be lifted when considering sets of quantum states. Here we introduce the concept of set…

Quantum Physics · Physics 2021-06-08 Sébastien Designolle , Roope Uola , Kimmo Luoma , Nicolas Brunner

We formulate and study a class of two-player zero-sum stochastic dynamic games with partial and asymmetric information. Information asymmetry introduces fundamental challenges involving \emph{belief representation} and \emph{theory of mind}…

Optimization and Control · Mathematics 2026-03-20 Yuxiang Guan , Iman Shames , Tyler Summers

We give a converging semidefinite programming hierarchy of outer approximations for the set of quantum correlations of fixed dimension and derive analytical bounds on the convergence speed of the hierarchy. In particular, we give a…

Quantum Physics · Physics 2021-07-05 Hyejung H. Jee , Carlo Sparaciari , Omar Fawzi , Mario Berta

We define and study a collection of matroid isomorphism games corresponding to various axiomatic characterizations of matroids. These are nonlocal games played between two cooperative players. Each game is played on two matroids, and the…

Quantum Algebra · Mathematics 2025-07-09 Daniel Corey , Simon Schmidt , Marcel Wack

Understanding the role that quantum entanglement plays as a resource in various information processing tasks is one of the crucial goals of quantum information theory. Here we propose a new perspective for studying quantum entanglement:…

Quantum Physics · Physics 2015-09-23 L. Czekaj , M. Pawlowski , T. Vertesi , A. Grudka , M. Horodecki , R. Horodecki

Quantum games have attracted much attention in recent years due to their ability to solve decision-making dilemmas. The aim of this study is to extend previous work on quantum games by introducing a Mathematica package QEGS (Quantum…

Quantum Physics · Physics 2025-05-05 Krzysztof Grzanka , Anna Gorczyca-Goraj , Piotr Frąckiewicz , Marek Szopa

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…

Quantum Physics · Physics 2008-09-19 Chiu Fan Lee , Neil Johnson

Complex cryptographic protocols are often constructed from simpler building-blocks. In order to advance quantum cryptography, it is important to study practical building-blocks that can be used to develop new protocols. An example is…

Quantum Physics · Physics 2016-06-15 Juan Miguel Arrazola , Markos Karasamanis , Norbert Lütkenhaus

We introduce games with probabilistic uncertainty, a natural model for controller synthesis in which the controller observes the state of the system through imprecise sensors that provide correct information about the current state with a…

Computer Science and Game Theory · Computer Science 2012-07-03 Krishnendu Chatterjee , Martin Chmelik , Rupak Majumdar

Pebble games are popular models for analyzing time-space trade-offs. In particular, the reversible pebble game is often applied in quantum algorithms like Grover's search to efficiently simulate classical computation on inputs in…

Quantum Physics · Physics 2025-02-19 Niels Kornerup , Jonathan Sadun , David Soloveichik