Decline and Fall of the Roman City. By J. H. W. G. Liebeschuetz. Oxford: Oxford University Press, 2001. xviii + 479 pp. $99.00 cloth.

Dam, Raymond Van

doi:10.1017/s0009640700096426

Cited by 5 publications

(7 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Similarly, when I N CHSH < −2, the greater-than signs in the four inequalities (17) become the less-than signs. Let us denote the normalization constants of…”

Section: The Generalized Chsh Inequality and Gamesmentioning

confidence: 97%

“…Researchers have tried to understand the nonlocality from the perspective of game theory [17][18][19]. The author of Ref.…”

Section: Introductionmentioning

confidence: 99%

“…The author of Ref. [17] setted up the so-called CHSH game to show the advantage of quantum strategies. There are two players, Alice and Bob, in the game who cannot communicate with each other.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

From a single-system game to robust violations of the Bell's inequality

He,

Fan,

Zhang

2022

Preprint

View full text Add to dashboard Cite

Recently, Fan 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 phenomenon that the maximal violation of the generalized CHSH inequality is robust under some specific noises. In this work, we map the inequality to the CHSH game, and consequently to the CHSH* game in a single-qubit system. This mapping provides an explanation for the robust violations in N -qubit systems. Namely, the robust violations, resulting from the degeneracy of the generalized CHSH operators corresponds to the symmetry of the maximally entangled two-qubit states and the identity transformation in the single-qubit game. This explanation enables us to exactly demonstrate that the degeneracy is 2 N −2 .

show abstract

“…Similarly, when I N CHSH < −2, the greater-than signs in the four inequalities (17) become the less-than signs. Let us denote the normalization constants of…”

Section: The Generalized Chsh Inequality and Gamesmentioning

confidence: 97%

“…Researchers have tried to understand the nonlocality from the perspective of game theory [17][18][19]. The author of Ref.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

From a single-system game to robust violations of the Bell's inequality

He,

Fan,

Zhang

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…We may still hope that, with an additional axiom, we will be able to derive it. Indeed, W. van Dam [20] showed that in a world containing maximally nonlocal correlations, an important class of communication tasks would become dramatically simpler. G. Brassard et al [21] extended this result to nonlocal correlations that are not maximal, indeed not much stronger than nonlocal quantum correlations.…”

Section: Maximally Nonlocal Correlationsmentioning

confidence: 99%

Three Attempts at Two Axioms for Quantum Mechanics

Rohrlich

2011

Probability in Physics

View full text Add to dashboard Cite

The axioms of nonrelativistic quantum mechanics lack clear physical meaning. In particular, they say nothing about nonlocality. Yet quantum mechanics is not only nonlocal, it is twice nonlocal: there are nonlocal quantum correlations, and there is the Aharonov-Bohm effect, which implies that an electric or magnetic field here may act on an electron there. Can we invert the logical hierarchy? That is, can we adopt nonlocality as an axiom for quantum mechanics and derive quantum mechanics from this axiom and an additional axiom of causality? Three versions of these two axioms lead to three different theories, characterized by "maximal nonlocal correlations", "jamming" and "modular energy". Where is quantum mechanics in these theories?

show abstract

“…It has been shown that in GNST maximum success probability for both HNA and CNA is 0.50 [12,13], whereas in QM the corresponding values are ≈ 0.09 [4,14,15] and ≈ 0.11 [7,16] In recent years, several attempts have been taken to explain the restricted nonlocal features in QM from some physical or information theoretical principles. Initially, Van Dam showed that distant parties having access to the PR-box correlation can render communication complexity trivial and then argued that this could be a reason for the non-existence of such stronger nonlocal correlations in nature [17]; another progress along this line was reported in [18]. Further important breakthroughs were obtained by introducing physical principles like Information Causality (IC) [19] and Macroscopic Locality (ML) [20] which explained the Cirel'son bound in QM.…”

Section: Introductionmentioning

confidence: 99%

Local orthogonality provides a tight upper bound for Hardy's nonlocality

et al. 2013

View full text Add to dashboard Cite

The amount of nonlocality in quantum theory is limited compared to that allowed in generalized no-signaling theory [Found. Phys. 24, 379 (1994)]. This feature, for example, gets manifested in the amount of Bell inequality violation as well as in the degree of success probability of Hardy's (Cabello's) nonlocality argument. Physical principles like information causality and macroscopic locality have been proposed for analyzing restricted nonlocality in quantum mechanics-viz. explaining the Cirel'son bound. However, these principles are not that much successful in explaining the maximum success probability of Hardy's as well as Cabello's argument in quantum theory. Here we show that, a newly proposed physical principle namely Local Orthogonality does better by providing a tighter upper bound on the success probability for Hardy's nonlocality. This bound is relatively closer to the corresponding quantum value compared to the bounds achieved from other principles.

show abstract

Decline and Fall of the Roman City. By J. H. W. G. Liebeschuetz. Oxford: Oxford University Press, 2001. xviii + 479 pp. $99.00 cloth.

Cited by 5 publications

References 0 publications

From a single-system game to robust violations of the Bell's inequality

From a single-system game to robust violations of the Bell's inequality

Three Attempts at Two Axioms for Quantum Mechanics

Local orthogonality provides a tight upper bound for Hardy's nonlocality

Contact Info

Product

Resources

About