Universality of State-Independent Violation of Correlation Inequalities for Noncontextual Theories

被引：92

作者：

Badziag, Piotr ^{[1
]}

Bengtsson, Ingemar ^{[1
]}

Cabello, Adan ^{[2
]}

Pitowsky, Itamar ^{[3
]}

机构：

[1] Stockholm Univ, Dept Phys, S-10691 Stockholm, Sweden

[2] Univ Seville, Dept Fis Aplicada 2, E-41012 Seville, Spain

[3] Hebrew Univ Jerusalem, Dept Philosophy, IL-91905 Jerusalem, Israel

来源：

PHYSICAL REVIEW LETTERS | 2009年 / 103卷 / 05期

基金：

以色列科学基金会;

关键词：

KOCHEN-SPECKER THEOREM; HIDDEN-VARIABLES; VECTORS; DIMENSION; PROOF; SPACE;

D O I：

10.1103/PhysRevLett.103.050401

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that the state-independent violation of inequalities for noncontextual hidden variable theories introduced in [Phys. Rev. Lett. 101, 210401 (2008)] is universal, i.e., occurs for any quantum mechanical system in which noncontextuality is meaningful. We describe a method to obtain state-independent violations for any system of dimension d >= 3. This universality proves that, according to quantum mechanics, there are no "classical'' states.

引用

页数：4

共 25 条

[1]

AMSELEM E, IN PRESS

[2]

[Anonymous], 1973, A Survey of Hidden-Variable Theories

[3] Two noncolourable configurations in four dimensions illustrating the Kochen-Specker theorem [J].

Aravind, PK ;

Lee-Elkin, F .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (49) :9829-9834

[4]

Bell J.S., 1964, PHYSICS, V1, P195, DOI [10.1103/Physics-PhysiqueFizika.1.195, DOI 10.1103/PHYSICSPHYSIQUEFIZIKA.1.195, 10.1103/PhysicsPhysiqueFizika.1.195]

[5] Schutte's tautology and the Kochen-Specker theorem [J].

Bub, J .

FOUNDATIONS OF PHYSICS, 1996, 26 (06) :787-806

[6] Bell-Kochen-Specker theorem for any finite dimension n>=3 [J].

Cabello, A ;

GarciaAlcaine, G .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (05) :1025-1036

[7] Recursive proof of the Bell-Kochen-Specker theorem in any dimension n>3 [J].

Cabello, A ;

Estebaranz, JA ;

García-Alcaine, G .

PHYSICS LETTERS A, 2005, 339 (06) :425-429

[8] Bell-Kochen-Specker theorem: A proof with 18 vectors [J].

Cabello, A ;

Estebaranz, JM ;

GarciaAlcaine, G .

PHYSICS LETTERS A, 1996, 212 (04) :183-187

[9] Experimentally Testable State-Independent Quantum Contextuality [J].

Cabello, Adan .

PHYSICAL REVIEW LETTERS, 2008, 101 (21)

[10]

Conway J, 2002, QUANTUM (UN)SPEAKABLES FROM BELL TO QUANTUM INFORMATION, P257

← 1 2 3 →