Continuous input nonlocal games

被引：2

作者：

Aharon, Netanel ^{[1
]}

Machnes, Shai ^{[1
]}

Reznik, Benni ^{[1
]}

Silman, Jonathan ^{[1
]}

Vaidman, Lev ^{[1
]}

机构：

[1] Tel Aviv Univ, Sch Phys & Astron, Raymond & Beverly Sackler Fac Exact Sci, IL-69978 Tel Aviv, Israel

来源：

NATURAL COMPUTING | 2013年 / 12卷 / 01期

关键词：

Quantum games; Entanglement; Nonlocality; Bell inequalities;

D O I：

10.1007/s11047-012-9354-5

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We present a family of nonlocal games in which the inputs the players receive are continuous. We study three representative members of the family. For the first two a team sharing quantum correlations (entanglement) has an advantage over any team restricted to classical correlations. We conjecture that this is true for the third member of the family as well.

引用

页码：5 / 8

页数：4

共 50 条

[21] Einstein Meets Turing: The Computability of Nonlocal Games
Yuen, Henry
CONNECTING WITH COMPUTABILITY, 2021, 12813 : 483 - 493
[22] CONTINUOUS DILEMMA GAMES
LAWRENCE, DS
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (01): : A21 - A21
[23] Rationalizability in continuous games
Arieli, Itai
JOURNAL OF MATHEMATICAL ECONOMICS, 2010, 46 (05) : 912 - 924
[24] Playing nonlocal games with phases of quantum matter
Bulchandani, Vir B.
Burnell, Fiona J.
Sondhi, S. L.
PHYSICAL REVIEW B, 2023, 107 (04)
[25] Survey on nonlocal games and operator space theory
Palazuelos, Carlos
Vidick, Thomas
JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (01)
[26] CONTINUOUS STOCHASTIC GAMES
SOBEL, MJ
JOURNAL OF APPLIED PROBABILITY, 1973, 10 (03) : 597 - 604
[27] Repeated games in continuous time as extensive form games
Alos-Ferrer, Carlos
Kern, Johannes
JOURNAL OF MATHEMATICAL ECONOMICS, 2015, 61 : 34 - 57
[28] Nonlocal correlations: Fair and unfair strategies in Bayesian games
Roy, Arup
Mukherjee, Amit
Guha, Tamal
Ghosh, Sibasish
Bhattacharya, Some Sankar
Banik, Manik
PHYSICAL REVIEW A, 2016, 94 (03)
[29] Nonlocal games and optimal steering at the boundary of the quantum set
Zhen, Yi-Zheng
Goh, Koon Tong
Zheng, Yu-Lin
Cao, Wen-Fei
Wu, Xingyao
Chen, Kai
Scarani, Valerio
PHYSICAL REVIEW A, 2016, 94 (02)
[30] Nonlocal Quantum XOR Games for Large Number of Players
Ambainis, Andris
Kravchenko, Dmitry
Nahimovs, Nikolajs
Rivosh, Alexander
THEORY AND APPLICATIONS OF MODELS OF COMPUTATION, PROCEEDINGS, 2010, 6108 : 72 - 83

← 1 2 3 4 5 →