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Quantum phenomena have remained largely inaccessible to the general public. This can be attributed to the fact that we do not experience quantum mechanics on a tangible level in our daily lives. Games can provide an environment in which…

量子物理 · 物理学 2019-07-12 Christopher Cantwell

Divided Government is nowadays a common feature of the U.S. political system. The voters can cast partisan ballots for two political powers the executive (Presidential elections) and the legislative (the Congress election). Some recent…

综合物理 · 物理学 2014-05-08 Polina Khrennikova

Standard quantum mechanics unquestionably violates the separability principle that classical physics (be it point-like analytic, statistical, or field-theoretic) accustomed us to consider as valid. In this paper, quantum nonseparability is…

量子物理 · 物理学 2007-05-23 Vassilios Karakostas

A game in which one player makes unitary transformations of a simple system, and another seeks to confound the resulting state by a randomly chosen action is analyzed carefully. It is shown that the second player can reduce any system to a…

量子物理 · 物理学 2007-05-23 Paul B. Kantor

A quantum algorithm succeeds not because the superposition principle allows 'the computation of all values of a function at once' via 'quantum parallelism,' but rather because the structure of a quantum state space allows new sorts of…

量子物理 · 物理学 2010-05-17 Jeffrey Bub

The paper introduces a new approach to theory of differential games in which entangled players try to predict and influence actions of their adversaries. The entanglement is generated be a joint probability density known by the players.…

综合物理 · 物理学 2012-09-03 Michail Zak

In this work, we study stochastic one-shot games where agents' utilities depend on the collective strategy profiles of other agents as well as on some well-behaved randomness. While each decision-maker is agnostic to the random variable's…

最优化与控制 · 数学 2026-05-18 Nirabhra Mandal , Sonia Martínez

We present a new model of incomplete information games without private information in which the players use a distributionally robust optimization approach to cope with the payoff uncertainty. With some specific restrictions, we show that…

计算机科学与博弈论 · 计算机科学 2016-10-04 Nicolas Loizou

We give operational meaning to wave-particle duality in terms of discrimination games. Duality arises as a constraint on the probability of winning these games. The games are played with the aid of an n-port interferometer, and involve 3…

量子物理 · 物理学 2018-02-07 Emilio Bagan , John Calsamiglia , Janos A. Bergou , Mark Hillery

We study the applicability of quantum algorithms in computational game theory and generalize some results related to Subtraction games, which are sometimes referred to as one-heap Nim games. In quantum game theory, a subset of Subtraction…

量子物理 · 物理学 2020-06-15 Dmitry Kravchenko , Kamil Khadiev , Danil Serov , Ruslan Kapralov

In this work we have introduced two party games with respective winning conditions. One cannot win these games deterministically in the classical world if they are not allowed to communicate at any stage of the game. Interestingly we find…

量子物理 · 物理学 2008-11-19 Indranil Chakrabarty , B. S. Choudhury

These are the notes written for the talk given at the workshop Rethinking foundations of physics 2016. In section 2, a derivation of the the quantum formalism starting from propositional calculus (quantum logic) is reviewed, pointing out…

量子物理 · 物理学 2017-08-29 Luca Curcuraci

Research in quantum games has flourished during recent years. However, it seems that opinion remains divided about their true quantum character and content. For example, one argument says that quantum games are nothing but 'disguised'…

量子物理 · 物理学 2007-05-23 Azhar Iqbal

An interaction system has a finite set of agents that interact pairwise, depending on the current state of the system. Symmetric decomposition of the matrix of interaction coefficients yields the representation of states by self-adjoint…

量子物理 · 物理学 2017-06-07 Ulrich Faigle , Michel Grabisch

Go has long been considered as a testbed for artificial intelligence. By introducing certain quantum features, such as superposition and collapse of wavefunction, we experimentally demonstrate a quantum version of Go by using correlated…

A nonlocality anomaly in which a partially entangled state can outperform a maximally entangled state in a task exploiting nonlocality and several ways to remove the anomaly are discussed. A necessary condition for the anomaly to occur is…

量子物理 · 物理学 2024-02-14 Yiruo Lin

Entangled quantum systems can exhibit correlations that cannot be simulated classically. For historical reasons such correlations are called "Bell inequality violations." We give two new two-player games with Bell inequality violations that…

量子物理 · 物理学 2022-03-01 Harry Buhrman , Oded Regev , Giannicola Scarpa , Ronald de Wolf

In the quantum mechanical Hilbert space formalism, the probabilistic interpretation is a later ad-hoc add-on, more or less enforced by the experimental evidence, but not motivated by the mathematical model itself. A model involving a clear…

数学物理 · 物理学 2010-12-21 Gerd Niestegge

A binary constraint system game is a two-player one-round non-local game defined by a system of Boolean constraints. The game has a perfect quantum strategy if and only if the constraint system has a quantum satisfying assignment [R. Cleve…

量子物理 · 物理学 2013-11-05 Zhengfeng Ji

We analyze the necessary physical conditions to model an open quantum system as a quantum game. By applying the formalism of Quantum Operations on a particular system, we use Kraus operators as quantum strategies. The physical…

量子物理 · 物理学 2009-11-13 Jean Faber , Renato Portugal , Luiz Pinguelli Rosa