Bell inequalities for arbitrarily high-dimensional systems

被引：770

作者：

Collins, D

Gisin, N

Linden, N

Massar, S

Popescu, S

机构：

[1] Univ Bristol, HH Wills Phys Lab, Bristol BS8 1TL, Avon, England

[2] Hewlett Packard Labs, BRIMS, Bristol BS12 6QZ, Avon, England

[3] Univ Geneva, Appl Phys Grp, CH-1211 Geneva, Switzerland

[4] Univ Bristol, Dept Math, Bristol BS8 1TW, Avon, England

[5] Free Univ Brussels, Serv Phys Theor, B-1050 Brussels, Belgium

来源：

PHYSICAL REVIEW LETTERS | 2002年 / 88卷 / 04期

关键词：

Correlation methods - Electron energy levels - Optimization - Probability - Spurious signal noise;

D O I：

10.1103/PhysRevLett.88.040404

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We develop a novel approach to Bell inequalities based on a constraint that the correlations exhibited by local variable theories must satisfy. This is used to construct a family of Bell inequalities for bipartite quantum systems of arbitrarily high dimensionality which are strongly resistant to noise. In particular, our work gives an analytic description of previous numerical results and generalizes them to arbitrarily high dimensionality.

引用

页码：4 / 404044

页数：4

共 50 条

[21] Isoperimetric Inequalities and Supercritical Percolation on High-Dimensional Graphs
Diskin, Sahar
Erde, Joshua
Kang, Mihyun
Krivelevich, Michael
COMBINATORICA, 2024, 44 (04) : 741 - 784
[22] Jackson-type inequalities on high-dimensional spheres
Niu, Yeli
Dai, Feng
SCIENCE CHINA-MATHEMATICS, 2024, 67 (11) : 2571 - 2586
[23] General scheme for complete high-dimensional Bell state measurement
Zeng, Zhi
OPTICS LETTERS, 2022, 47 (22) : 5817 - 5820
[24] DIMENSION MEASUREMENT ON HIGH-DIMENSIONAL SYSTEMS
GERSHENFELD, NA
PHYSICA D, 1992, 55 (1-2): : 135 - 154
[25] Particle Filtering for High-Dimensional Systems
Djuric, Petar M.
Bugallo, Monica F.
2013 IEEE 5TH INTERNATIONAL WORKSHOP ON COMPUTATIONAL ADVANCES IN MULTI-SENSOR ADAPTIVE PROCESSING (CAMSAP 2013), 2013, : 352 - 355
[26] On diffusion in high-dimensional Hamiltonian systems
Bourgain, J
Kaloshin, V
JOURNAL OF FUNCTIONAL ANALYSIS, 2005, 229 (01) : 1 - 61
[27] The chaotic dynamics of high-dimensional systems
Marjan Abdechiri
Karim Faez
Hamidreza Amindavar
Eleonora Bilotta
Nonlinear Dynamics, 2017, 87 : 2597 - 2610
[28] The chaotic dynamics of high-dimensional systems
Abdechiri, Marjan
Faez, Karim
Amindavar, Hamidreza
Bilotta, Eleonora
NONLINEAR DYNAMICS, 2017, 87 (04) : 2597 - 2610
[29] High-Dimensional Fuzzy Inference Systems
Xue, Guangdong
Wang, Jian
Zhang, Kai
Pal, Nikhil R.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2024, 54 (01): : 507 - 519
[30] Generalized structure of Bell inequalities for bipartite arbitrary-dimensional systems
Lee, Seung-Woo
Cheong, Yong Wook
Lee, Jinhyoung
PHYSICAL REVIEW A, 2007, 76 (03):

← 1 2 3 4 5 →