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We consider the problem of a particular kind of quantum correlation that arises in some two-party games. In these games, one player is presented with a question they must answer, yielding an outcome of either 'win' or 'lose'. Molina and…

量子物理 · 物理学 2017-03-14 Srinivasan Arunachalam , Abel Molina , Vincent Russo

Quantum nonlocality is an inherently non-classical feature of quantum mechanics and manifests itself through violation of Bell inequalities for nonlocal games. We show that in a fairly general setting, a simple extension of a nonlocal game…

量子物理 · 物理学 2017-06-09 Carl A. Miller , Yaoyun Shi

The characterization of the set of quantum correlations is a problem of fundamental importance in quantum information. The question whether every proper (tight) Bell inequality is violated in Quantum theory is an intriguing one in this…

量子物理 · 物理学 2021-08-04 Ravishankar Ramanathan

We investigate the relation between Bell inequalities and nonlocal games by presenting a systematic method for their bilateral conversion. In particular, we show that while to any nonlocal game there naturally corresponds a unique Bell…

量子物理 · 物理学 2008-07-17 J. Silman , S. Machnes , N. Aharon

We devised a protocol that allows two parties, who may malfunction or intentionally convey incorrect information in communication through a quantum channel, to verify each other's measurements and agree on each other's results. This has…

量子物理 · 物理学 2023-09-07 Kazuki Ikeda , Adam Lowe

Mertens [In Proceedings of the International Congress of Mathematicians (Berkeley, Calif., 1986) (1987) 1528-1577 Amer. Math. Soc.] proposed two general conjectures about repeated games: the first one is that, in any two-person zero-sum…

最优化与控制 · 数学 2016-03-16 Bruno Ziliotto

Quantum pseudo-telepathy games, such as the Mermin-Peres magic square and the doily game, theoretically allow players to win with unit probability when using entangled quantum strategies. We quantitatively characterize the quantum advantage…

量子物理 · 物理学 2026-02-16 Gábor Homa , András Bodor , József Zsolt Bernád

A pseudo-telepathy game is a nonlocal game which can be won with probability one using some finite-dimensional quantum strategy but not using a classical one. Our central question is whether there exist two-party pseudo-telepathy games…

量子物理 · 物理学 2015-06-24 Laura Mančinska

It is known that Mermin-Peres like proofs of quantum contextuality can furnish non-local games with a guaranteed quantum strategy, when classically no such guarantee can exist. This phenomenon, also called quantum pseudo-telepathy, has been…

量子物理 · 物理学 2023-10-12 Colm Kelleher , Mohammad Roomy , Frédéric Holweck

We show all-versus-nothing proofs of Bell's theorem in the one-dimensional transverse-field Ising model, which is one of the most important exactly solvable models in the field of condensed matter physics. Since this model can be simulated…

量子物理 · 物理学 2009-11-13 Dong-Ling Deng , Jing-Ling Chen

Bell nonlocality is a cornerstone of quantum theory with applications in information processing ranging from cryptography to distributed computing and game theory. Indeed, it is known that Bell's theorem can be formally linked to Bayesian…

量子物理 · 物理学 2020-12-02 George Moreno , Ranieri Nery , Alberto Palhares , Rafael Chaves

Elaborating on a previous work by Simon et al. [PRL 85, 1783 (2000)] we propose a realizable quantum optical single-photon experiment using standard present day technology, capable of discriminating maximally between the predictions of…

量子物理 · 物理学 2009-11-07 Jose L. Cereceda

Recently the concept of quantum information has been introduced into game theory. Here we present the first study of quantum games with more than two players. We discover that such games can possess a new form of equilibrium strategy, one…

量子物理 · 物理学 2007-05-23 Simon C. Benjamin , Patrick M. Hayden

In the recent years self-testing has grown into a rich and active area of study with applications ranging from practical verification of quantum devices to deep complexity theoretic results. Self-testing allows a classical verifier to…

量子物理 · 物理学 2023-07-12 Laura Mančinska , Simon Schmidt

We study the classical and quantum values of one- and two-party linear games, an important class of unique games that generalizes the well-known XOR games to the case of non-binary outcomes. We introduce a ``constraint graph" associated to…

A theory is universal contextual if its prediction cannot be reproduced by an ontological model satisfying both preparation and measurement noncontextuality assumptions. In this report, we first generalize the logical proofs of quantum…

量子物理 · 物理学 2019-12-24 A. K. Pan

We prove the existence of (one-way) communication tasks with a subconstant versus superconstant asymptotic gap, which we call "doubly infinite," between their quantum information and communication complexities. We do so by studying the…

量子物理 · 物理学 2016-05-09 Zi-Wen Liu , Christopher Perry , Yechao Zhu , Dax Enshan Koh , Scott Aaronson

Quantum information processing is at the crossroads of physics, mathematics and computer science. It is concerned with that we can and cannot do with quantum information that goes beyond the abilities of classical information processing…

量子物理 · 物理学 2009-11-10 Gilles Brassard , Anne Broadbent , Alain Tapp

Nonlocality, one of the most remarkable aspects of quantum mechanics, is closely related to Bayesian game theory. Quantum mechanics can offer advantages to some Bayesian games, if the payoff functions are related to Bell inequalities in…

量子物理 · 物理学 2016-01-21 Haozhen Situ

A recent proof of Bell's theorem without inequalities [A. Cabello, Phys. Rev. Lett. 86, 1911 (2001)] is formulated as a Greenberger-Horne-Zeilinger-like proof involving just two observers. On one hand, this new approach allows us to derive…

量子物理 · 物理学 2009-11-07 Adan Cabello