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We examine the use of noiseless subsystems for quantum information processing between two parties who do not share a common reference frame. In particular we focus on Bell inequalities in curved spaces and outline a theoretical procedure to…

量子物理 · 物理学 2007-05-23 Jonathan L. Ball

Effects of classical/quantum correlations and operations in game theory are analyzed using Samaritan's Dilemma. We observe that introducing either quantum or classical correlations to the game results in the emergence of a unique or…

量子物理 · 物理学 2007-08-16 Sahin Kaya Ozdemir , Junichi Shimamura , Fumiaki Morikoshi , Nobuyuki Imoto

It is argued that the lesson we should learn from Bell's inequalities is not that quantum mechanics requires some kind of action at a distance, but that it leads us to believe in parallel worlds.

量子物理 · 物理学 2015-01-13 Lev Vaidman

Motivated by non-local games and quantum coloring problems, we introduce a graph homomorphism game between quantum graphs and classical graphs. This game is naturally cast as a "quantum-classical game"--that is, a non-local game of two…

算子代数 · 数学 2024-06-19 Michael Brannan , Priyanga Ganesan , Samuel J. Harris

Bell's theorem is 50 years old. Still there is a controversy about its implications. Much of it has its roots in confusion regarding the premises from which the theorem can be derived. Some claim that a derivation of Bell's inequalities…

量子物理 · 物理学 2015-01-20 Marek Zukowski , Caslav Brukner

We address the question of when quantum entanglement is a useful resource for information processing tasks by presenting a new class of nonlocal games that are simple, direct, generalizations of the Clauser Horne Shimony Holt game. For some…

量子物理 · 物理学 2010-11-30 Thomas Lawson , Noah Linden , Sandu Popescu

Characterizing trade-offs between simultaneous violations of multiple Bell inequalities in a large network of qubits is computationally demanding. We propose a graph-theoretic approach to efficiently produce Bell monogamy relations in…

The violations of Bell inequalities by measurements on quantum states give rise to the phenomenon of quantum non-locality and express the advantage of using quantum resources over classical ones for certain information-theoretic tasks. The…

量子物理 · 物理学 2020-11-30 Abderramán Amr , Carlos Palazuelos , Julio I. de Vicente

The question of how large Bell inequality violations can be, for quantum distributions, has been the object of much work in the past several years. We say that a Bell inequality is normalized if its absolute value does not exceed 1 for any…

量子物理 · 物理学 2018-06-11 Sophie Laplante , Mathieu Laurière , Alexandre Nolin , Jérémie Roland , Gabriel Senno

The Bell inequalities in three and four correlations are re-derived in general forms showing that three and four data sets, respectively, identically satisfy them regardless of whether they are random, deterministic, measured, predicted, or…

量子物理 · 物理学 2020-06-24 Louis Sica

We propose a scheme for a quantum game based on performing an EPR type experiment and in which each player's spatial directional choices are considered as their strategies. A classical mixed-strategy game is recovered by restricting the…

量子物理 · 物理学 2022-06-16 Azhar Iqbal , Derek Abbott

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

The predictions of quantum mechanics cannot be resolved with a completely classical view of the world. In particular, the statistics of space-like separated measurements on entangled quantum systems violate a Bell inequality. We put forward…

量子物理 · 物理学 2012-04-27 Matty J. Hoban

A game-theoretic setting provides a mathematical basis for analysis of strategic interaction among competing agents and provides insights into both classical and quantum decision theory and questions of strategic choice. An outstanding…

量子物理 · 物理学 2018-07-24 Azhar Iqbal , James M. Chappell , Derek Abbott

Quantum nonlocality is a counterintuitive phenomenon that lies beyond the purview of causal influences. Recently, Bell inequalities have been generalized to the case of quantum inputs, leading to a powerful family of semi-quantum Bell…

量子物理 · 物理学 2016-08-12 Charles Ci Wen Lim

Bell inequality can provide a useful witness for device-independent applications with quantum (or post-quantum) eavesdroppers. This feature holds only for single entangled systems. Our goal is to explore device-independent model for quantum…

量子物理 · 物理学 2022-04-18 Ming-Xing Luo

It is one of the most remarkable features of quantum physics that measurements on spatially separated systems cannot always be described by a locally causal theory. In such a theory, the outcomes of local measurements are determined in…

量子物理 · 物理学 2016-09-08 Yeong-Cherng Liang

We provide an overview of the connections between Bell's inequalities and algebraic structure.

funct-an · 数学 2008-02-03 Stephen J. Summers

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

This short article concentrates on the conceptual aspects of the violation of Bell inequalities, and acts as a map to the 265 cited references. The article outlines (a) relevant characteristics of quantum mechanics, such as statistical…

量子物理 · 物理学 2021-06-29 Brian Drummond