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We construct a non-locality game that can be won with certainty by a quantum strategy using log n shared EPR-pairs, while any classical strategy has winning probability at most 1/2+O(log n/sqrt{n}). This improves upon a recent result of…

量子物理 · 物理学 2010-07-15 Harry Buhrman , Giannicola Scarpa , Ronald de Wolf

We study a generalization of the Mermin-Peres magic square game to arbitrary rectangular dimensions. After exhibiting some general properties, these rectangular games are fully characterized in terms of their optimal win probabilities for…

量子物理 · 物理学 2020-12-11 Sean A. Adamson , Petros Wallden

The behavior of entangled quantum systems can generally not be explained as being determined by shared classical randomness. In the first part of this paper, we propose a simple game for n players demonstrating this non-local property of…

量子物理 · 物理学 2013-01-01 Renato Renner , Stefan Wolf

The Mermin-Peres magic square game is a cooperative two-player nonlocal game in which shared quantum entanglement allows the players to win with certainty, while players limited to classical operations cannot do so, a phenomenon dubbed…

量子物理 · 物理学 2012-09-19 Alex Arkhipov

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

In a seminal paper, Meyer [David Meyer, Phys. Rev. Lett. 82, 1052 (1999)] described the advantages of quantum game theory by looking at the classical penny flip game. A player using a quantum strategy can win against a classical player…

量子物理 · 物理学 2015-10-29 Namit Anand , Colin Benjamin

We give a new proof of the fact that the parallel repetition of the (3-player) GHZ game reduces the value of the game to zero polynomially quickly. That is, we show that the value of the $n$-fold GHZ game is at most $n^{-\Omega(1)}$. This…

计算复杂性 · 计算机科学 2021-07-14 Uma Girish , Justin Holmgren , Kunal Mittal , Ran Raz , Wei Zhan

A sequence of spin-1/2 particles polarised in one of two possible directions is presented to an experimenter, who can wager in a double-or-nothing game on the outcomes of measurements in freely chosen polarisation directions. Wealth is…

量子物理 · 物理学 2023-08-03 Bernhard K Meister , Henry C W Price

Quantum games embody non-intuitive consequences of quantum phenomena, such as entanglement and contextuality. The Mermin-Peres game is a simple example, demonstrating how two players can utilise shared quantum information to win a no -…

量子物理 · 物理学 2024-03-15 Colm Kelleher , Frédéric Holweck , Péter Lévay

We show that given an explicit description of a multiplayer game, with a classical verifier and a constant number of players, it is QMA-hard, under randomized reductions, to distinguish between the cases when the players have a strategy…

量子物理 · 物理学 2019-02-12 Anand Natarajan , Thomas Vidick

Entanglement is perhaps the most non-classical manifestation of quantum mechanics. Among its many interesting applications to information processing, it can be harnessed to reduce the amount of communication required to process a variety of…

量子物理 · 物理学 2007-05-23 Gilles Brassard , Anne Broadbent , Alain Tapp

The Greenberger-Horne-Zeilinger (GHZ) paradox, involving quantum systems with three or more subsystems, offers an 'all-vs-nothing' test of quantum nonlocality. Unlike Bell tests for bipartite systems, which reveal statistical…

量子物理 · 物理学 2025-10-02 Ananya Chakraborty , Kunika Agarwal , Sahil Gopalkrishna Naik , Manik Banik

We consider a class of nonlocal games that are related to binary constraint systems (BCSs) in a manner similar to the games implicit in the work of Mermin [N.D. Mermin, "Simple unified form for the major no-hidden-variables theorems," Phys.…

量子物理 · 物理学 2013-10-17 Richard Cleve , Rajat Mittal

Communication complexity is an area of classical computer science which studies how much communication is necessary to solve various distributed computational problems. Quantum information processing can be used to reduce the amount of…

量子物理 · 物理学 2010-06-09 Ivan Fialík

Nonlocal games yield an unusual perspective on entangled quantum states. The defining property of such games is that a set of players in joint possession of an entangled state can win the game with higher probability than is allowed by…

量子物理 · 物理学 2023-01-18 Vir B. Bulchandani , Fiona J. Burnell , S. L. Sondhi

Quantum pseudotelepathy is a strong form of nonlocality. Different from the conventional non-local games where quantum strategies win statistically, e.g., the Clauser-Horne-Shimony-Holt game, quantum pseudotelepathy in principle allows…

The $N$-player quantum game is analyzed in the context of an Einstein-Podolsky-Rosen (EPR) experiment. In this setting, a player's strategies are not unitary transformations as in alternate quantum game-theoretic frameworks, but a classical…

量子物理 · 物理学 2012-11-16 James M. Chappell , Azhar Iqbal , Derek Abbott

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

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

We apply several quantization schemes to simple versions of the Chinos game. Classically, for two players with one coin each, there is a symmetric stable strategy that allows each player to win half of the times on average. A partial…

量子物理 · 物理学 2009-11-07 F. Guinea , M. A. Martin-Delgado
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