Bell Inequalities for Arbitrarily High-Dimensional Systems

Type: Article

Publication Date: 2002-01-10

Citations: 900

DOI: https://doi.org/10.1103/physrevlett.88.040404

Abstract

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.

Locations

  • Physical Review Letters - View
  • arXiv (Cornell University) - View - PDF
  • Archive ouverte UNIGE (University of Geneva) - View - PDF
  • PubMed - View
  • DataCite API - View

Similar Works

Action Title Year Authors
+ Optimal Bell inequalities for high-dimensional and continuous variable systems 2008 Seung-Woo Lee
Dieter Jaksch
+ PDF Chat Simple conditions constraining the set of quantum correlations 2015 Julio I. de Vicente
+ PDF Chat Bell inequalities for three systems and arbitrarily many measurement outcomes 2012 Basile Grandjean
Yeong-Cherng Liang
Jean-Daniel Bancal
Nicolas Brunner
Nicolas Gisin
+ PDF Chat Crypto-nonlocality in arbitrarily dimensional systems 2025 Jianqi Sheng
Dongkai Zhang
Lixiang Chen
+ Violation of local realism versus detection efficiency 2003 Serge Massar
Stefano Pironio
+ PDF Chat Nonlinear Bell Inequalities Tailored for Quantum Networks 2016 Denis Rosset
Cyril Branciard
Tomer Jack Barnea
Gilles PĂŒtz
Nicolas Brunner
Nicolas Gisin
+ PDF Chat Bound entangled Bell diagonal states of unequal local dimensions, and their witnesses 2024 Johannes Moerland
Nikolai Wyderka
Hermann Kampermann
Dagmar Bruß
+ PDF Chat Covariance Bell inequalities 2017 Victor Pozsgay
Flavien Hirsch
Cyril Branciard
Nicolas Brunner
+ Bell inequalities and the cost of classically simulating non-local correlations 2004 Stefano Pironio
+ Noise Correlations, Entanglement, and Bell Inequalities 2003 Thierry Martin
Adeline Crépieux
N. M. Chtchelkatchev
+ Violation of Bell inequalities in larger Hilbert spaces: robustness and challenges 2016 W. Weiß
Giuliano Benenti
Giulio Casati
Italo Guarneri
Tommaso Calarco
Mauro Paternostro
Simone Montangero
+ PDF Chat Adaptive State Fidelity Estimation for Higher Dimensional Bipartite Entanglement 2020 Jun-Yi Wu
+ Experimental Violation of Bell Inequalities for Systems of over 4000 Dimensions 2015 Hsin-Pin Lo
Che‐Ming Li
Atsushi Yabushita
Yueh-Nan Chen
Chih‐Wei Luo
Takayoshi Kobayashi
+ PDF Chat Bell Inequalities for Continuous-Variable Correlations 2007 Eric G. Cavalcanti
C. J. Foster
M. D. Reid
P. D. Drummond
+ PDF Chat Entanglement and Bell Inequalities 2005 Marian KupczyƄski
+ Detecting Full $N$-Particle Entanglement and Nonlocality in Arbitrarily High-Dimensional Systems with Bell-Type Inequality 2010 Jing‐Ling Chen
Dong-Ling Deng
Hong-Yi Su
Chunfeng Wu
Changhun Oh
+ PDF Chat Characterization of Quantum Correlations with Local Dimension Constraints and Its Device-Independent Applications 2014 Miguel Navascués
Gonzalo de la Torre
TamĂĄs VĂ©rtesi
+ PDF Chat Maximal violation of tight Bell inequalities for maximal high-dimensional entanglement 2009 Seung-Woo Lee
Dieter Jaksch
+ PDF Chat Lower bound of local quantum uncertainty for high-dimensional bipartite quantum systems 2019 Shuhao Wang
Hui Li
Xian Lu
Bin Chen
+ PDF Chat Bell inequalities for nonlocality depth 2023 Fabian Bernards
Otfried GĂŒhne

Works That Cite This (557)

Action Title Year Authors
+ Bell inequalities for $$S_4$$ group: classical and quantum bounds for two-orbit case 2020 Katarzyna Bolonek-LasoƄ
Piotr KosiƄski
+ PDF Chat Dimension-independent bounds for Hardy's experiment 2014 Zhen‐Peng Xu
Hong-Yi Su
Jing‐Ling Chen
+ PDF Chat Enabling Computation of Correlation Bounds for Finite-Dimensional Quantum Systems via Symmetrization 2019 Armin Tavakoli
Denis Rosset
Marc-Olivier Renou
+ PDF Chat Tight Multipartite Bell's Inequalities Involving Many Measurement Settings 2004 WiesƂaw Laskowski
Tomasz Paterek
Marek ƻukowski
Časlav Brukner
+ for 2 Parties with Many 2-valued Observables from Facets of Cut Polytopes 2004 David Avis
Hiroshi Imai
Tsuyoshi Ito
Yuuya Sasaki
+ PDF Chat Tight correlation-function Bell inequality for multipartite<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi></mml:math>-dimensional systems 2009 Jing‐Ling Chen
Dong-Ling Deng
+ PDF Chat Nonlocality without inequality for spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>s</mml:mi></mml:math>systems 2005 Samir Kunkri
Sujit K. Choudhary
+ PDF Chat Analytic and Nearly Optimal Self-Testing Bounds for the Clauser-Horne-Shimony-Holt and Mermin Inequalities 2016 Jędrzej Kaniewski
+ PDF Chat Quantum bounds on Bell inequalities 2009 KĂĄroly F. PĂĄl
TamĂĄs VĂ©rtesi
+ PDF Chat A tight Tsirelson inequality for infinitely many outcomes 2010 Stefan Zohren
P. Reska
Richard D. Gill
W. Westra