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Here we study multiplayer linear games, a natural generalization of XOR games to multiple outcomes. We generalize a recently proposed efficiently computable bound, in terms of the norm of a game matrix, on the quantum value of 2-player…

量子物理 · 物理学 2016-02-10 Gláucia Murta , Ravishankar Ramanathan , Natália Móller , Marcelo Terra Cunha

While there exist theories that have states "more strongly entangled" than quantum theory, in the sense that they show CHSH values above Tsirelson's bound, all known examples of such theories have a strictly smaller set of measurements.…

量子物理 · 物理学 2024-09-04 Lionel J. Dmello , Laurens T. Ligthart , David Gross

For many protocols, quantum strategies have advantages compared with their classical counter-partners, and these advantages have attracted many interests and applications. One of the famous examples is the Clauser-Horne-Shimony-Holt (CHSH)…

量子物理 · 物理学 2022-01-26 Zhiyu Tian , Yuan-Yuan Zhao , Hao Wu , Zhao Wang , Le Luo

We study the CHSH inequality from an informational, timing-sensitive viewpoint using game-theoretic probability, which avoids assuming an underlying probability space. The locality loophole and the measurement-dependence…

量子物理 · 物理学 2026-03-16 Takara Nomura , Koichi Yamagata , Akio Fujiwara

Non-local games are an important part of quantum information processing. Recently there has been an increased interest in generalizing non-local games beyond the basic setup by considering games with multiple parties and/or with large…

量子物理 · 物理学 2016-09-09 Matej Pivoluska , Marcin Pawlowski , Martin Plesch

This thesis explores foundational aspects of quantum information theory and quantum cryptography. First, we investigate quantum correlations in interactive settings, including the CHSH and graph isomorphism games. We aim to distinguish…

量子物理 · 物理学 2025-10-13 Pierre Botteron

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…

量子物理 · 物理学 2026-04-28 John B. DeBrota , Peter J. Love

In this work we focus on two classes of games: XOR nonlocal games and XOR* sequential games with monopartite resources. XOR games have been widely studied in the literature of nonlocal games, and we introduce XOR* games as their natural…

In this paper, the CHSH quantum game is extended to four players. This is achieved by exploring all possible 4-variable Boolean functions to identify those that yield a game scenario with a quantum advantage using a specific entangled…

量子物理 · 物理学 2024-11-26 Joaquim Jusseau , Hamza Jaffali , Frédéric Holweck

We study tensor norms over Banach spaces and their relations to quantum information theory, in particular their connection with two-prover games. We consider a version of the Hilbertian tensor norm $\gamma_2$ and its dual $\gamma_2^*$ that…

量子物理 · 物理学 2011-05-04 Dejan D. Dukaric

The famous CHSH game can be interpreted with Boolean functions while understanding the success probability in the classical scenario. In this paper, we have exhaustively studied all the Boolean functions on four variables to express binary…

量子物理 · 物理学 2023-06-27 Jyotirmoy Basak , Subhamoy Maitra , Prabal Paul , Animesh Roy

When two players achieve a superclassical score at a nonlocal game, their outputs must contain intrinsic randomness. This fact has many useful implications for quantum cryptography. Recently it has been observed (C. Miller, Y. Shi, Quant.…

量子物理 · 物理学 2018-03-28 Honghao Fu , Carl A. Miller

Recently, dimensionality testing of a quantum state has received extensive attention (Ac{\'i}n et al. Phys. Rev. Letts. 2006, Scarani et al. Phys. Rev. Letts. 2006). Security proofs of existing quantum information processing protocols rely…

量子物理 · 物理学 2018-11-06 Arpita Maitra , Bibhas Adhikari , Satyabrata Adhikari

Correlation self-testing of a theory addresses the question of whether we can identify the set of correlations realisable in a theory from its performance in a particular information processing task. Applied to quantum theory it aims to…

量子物理 · 物理学 2024-01-17 Mirjam Weilenmann , Roger Colbeck

In this paper, we generalize to three players the well-known CHSH quantum game. To do so, we consider all possible 3 variables Boolean functions and search among them which ones correspond to a game scenario with a quantum advantage (for a…

量子物理 · 物理学 2023-12-04 Hamza Jaffali , Frédéric Holweck

This paper studies complexity theoretic aspects of quantum refereed games, which are abstract games between two competing players that send quantum states to a referee, who performs an efficiently implementable joint measurement on the two…

计算复杂性 · 计算机科学 2020-02-06 Soumik Ghosh , John Watrous

We consider a game in which two separate laboratories collaborate to prepare a quantum system and are then asked to guess the outcome of a measurement performed by a third party in a random basis on that system. Intuitively, by the…

量子物理 · 物理学 2013-10-04 Marco Tomamichel , Serge Fehr , Jędrzej Kaniewski , Stephanie Wehner

A two-player one-round binary game consists of two cooperative players who each replies by one bit to a message that he receives privately; they win the game if both questions and answers satisfy some predetermined property. A game is…

量子物理 · 物理学 2011-06-22 Salman Beigi

The celebrated Clauser, Horne, Shimony and Holt (CHSH) game model helps to perform the security analysis of many two-player quantum protocols. This game specifies two Boolean functions whose outputs have to be computed to determine success…

量子物理 · 物理学 2019-04-26 Nayana Das , Goutam Paul , Arpita Maitra

Self-testing has been a rich area of study in quantum information theory. It allows an experimenter to interact classically with a black box quantum system and to test that a specific entangled state was present and a specific set of…

量子物理 · 物理学 2021-09-23 David Cui , Arthur Mehta , Hamoon Mousavi , Seyed Sajjad Nezhadi
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