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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)…

Quantum Physics · Physics 2022-01-26 Zhiyu Tian , Yuan-Yuan Zhao , Hao Wu , Zhao Wang , Le Luo

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…

Quantum Physics · Physics 2024-01-17 Mirjam Weilenmann , Roger Colbeck

The CHSH no-signalling game studies Bell nonlocality by showcasing a gap between the win rates of classical strategies, quantum-entangled strategies, and no-signalling strategies. Similarly, the CHSH* single-system game explores the…

Quantum Physics · Physics 2020-05-19 Xavier Coiteux-Roy , Stefan Wolf

Can a classical system command a general adversarial quantum system to realize arbitrary quantum dynamics? If so, then we could realize the dream of device-independent quantum cryptography: using untrusted quantum devices to establish a…

Quantum Physics · Physics 2012-09-04 Ben W. Reichardt , Falk Unger , Umesh Vazirani

Can a classical system command a general adversarial quantum system to realize arbitrary quantum dynamics? If so, then we could realize the dream of device-independent quantum cryptography: using untrusted quantum devices to establish a…

Quantum Physics · Physics 2012-09-04 Ben W. Reichardt , Falk Unger , Umesh Vazirani

A superqubit, belonging to a $(2|1)$-dimensional super-Hilbert space, constitutes the minimal supersymmetric extension of the conventional qubit. In order to see whether superqubits are more nonlocal than ordinary qubits, we construct a…

Quantum Physics · Physics 2014-09-09 L. Borsten , K. Bradler , M. J. Duff

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…

Quantum Physics · Physics 2016-09-09 Matej Pivoluska , Marcin Pawlowski , Martin Plesch

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…

Quantum Physics · Physics 2016-02-10 Gláucia Murta , Ravishankar Ramanathan , Natália Móller , Marcelo Terra Cunha

A device-independent randomness expansion protocol aims to take an initial random string and generate a longer one, where the security of the protocol does not rely on knowing the inner workings of the devices used to run it. In order to do…

Quantum Physics · Physics 2026-01-06 Rutvij Bhavsar , Sammy Ragy , Roger Colbeck

The non-local game scenario provides a powerful framework to study the limitations of classical and quantum correlations, by studying the upper bounds of the winning probabilities those correlations offer in cooperation games where…

Quantum Physics · Physics 2020-07-07 Ricardo Faleiro

We show that, for general probabilistic theories admitting sharp measurements, the exclusivity principle together with two assumptions exactly singles out the Tsirelson bound of the Clauser-Horne-Shimony-Holt Bell inequality.

Quantum Physics · Physics 2014-12-31 Adan Cabello

Recently, Fan \textit{et al.} [Mod. Phys. Lett. A 36, 2150223 (2021)], presented a generalized Clauser-Horne-Shimony-Holt (CHSH) inequality, to identify $N$-qubit Greenberger-Horne-Zeilinger (GHZ) states. They showed an interesting…

Quantum Physics · Physics 2022-06-09 Gang-Gang He , Xing-Yan Fan , Fu-Lin Zhang

We reformulate the CHSH game in terms of indivisible stochastic processes. Using Barandes's stochastic-quantum correspondence and its associated definition of causal locality, we present a novel proof of the Tsirelson bound. In particular,…

Quantum Physics · Physics 2025-12-23 Jacob A. Barandes , Mahmudul Hasan , David Kagan

Application of CHSH game in Linear Cryptanalysis is presented. Till date, the known usage of CHSH game in Quantum Cryptology is to verify the device independence of the protocols. We observed that the classical symmetric ciphers having the…

Quantum Physics · Physics 2021-11-23 Arpita Maitra , Ravi Anand , Suman Dutta

We introduce a novel generalization of the Clauser-Horne-Shimony-Holt (CHSH) game to a multiplayer setting, i.e., Hypercube game, where all $m$ players are required to assign values to vertices on corresponding facets of an $m$-dimensional…

Quantum Physics · Physics 2018-06-08 Xiaoyu He , Kun Fang , Xiaoming Sun , Runyao Duan

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…

Quantum Physics · Physics 2026-03-16 Takara Nomura , Koichi Yamagata , Akio Fujiwara

Landauer's principle places a fundamental lower limit on the work required to perform a logically irreversible operation. Logically reversible gates provide a way to avoid these work costs, and also simplify the task of making the…

Computational Physics · Physics 2023-11-16 Ian Seet , Thomas E. Ouldridge , Jonathan P. K. Doye

Relativistic causality forbids superluminal signaling between distant observers. By exploiting the non-signaling principle, we derive the exact relationship between the chained Clauser-Horne-Shimony-Holt sum of correlations CHSH_K and the…

Quantum Physics · Physics 2015-08-27 José L. Cereceda

Free will (or randomness) has been studied to achieve loophole-free Bell's inequality test and to provide device-independent quantum key distribution security proofs. The required randomness such that a local hidden variable model (LHVM)…

Quantum Physics · Physics 2017-03-29 Yifeng Teng , Shenghao Yang , Siwei Wang , Mingfei Zhao

Nonlocal games are a foundational tool for understanding entanglement and constructing quantum protocols in settings with multiple spatially separated quantum devices. In this work, we continue the study initiated by Kalai et al. (STOC '23)…

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