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

被引：90

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 50 条

[1] Maximal violation of state-independent contextuality inequalities
Larsson, Jan-Ake
Kleinmann, Matthias
Budroni, Constantino
Guehne, Otfried
Cabello, Adan
QUANTUM THEORY: RECONSIDERATION OF FOUNDATIONS 6, 2012, 1508 : 265 - 274
[2] Optimal Inequalities for State-Independent Contextuality
Kleinmann, Matthias
Budroni, Costantino
Larsson, Jan-Ake
Guehne, Otfried
Cabello, Adan
PHYSICAL REVIEW LETTERS, 2012, 109 (25)
[3] Experimentally Testable State-independent Violation of Bell-type Inequalities for Quantum Contextuality
Cabello, Adan
ICQNM 2009: THIRD INTERNATIONAL CONFERENCE ON QUANTUM, NANO AND MICRO TECHNOLOGIES: PROCEEDINGS, 2009, : 17 - 19
[4] Violation of the Luders bound of macrorealist and noncontextual inequalities
Kumari, Asmita
Qutubuddin, Md
Pan, A. K.
PHYSICAL REVIEW A, 2018, 98 (04)
[5] Optimal and tight Bell inequalities for state-independent contextuality sets
Gonzales-Ureta, Junior R.
Predojevic, Ana
Cabello, Adan
PHYSICAL REVIEW RESEARCH, 2023, 5 (01):
[6] Hardy's Paradox and Violation of a State-Independent Bell Inequality in Time
Fedrizzi, Alessandro
Almeida, Marcelo P.
Broome, Matthew A.
White, Andrew G.
Barbieri, Marco
PHYSICAL REVIEW LETTERS, 2011, 106 (20)
[7] QUANTUM VIOLATION OF STOCHASTIC NONCONTEXTUAL HIDDEN-VARIABLE THEORIES
ROY, SM
SINGH, V
PHYSICAL REVIEW A, 1993, 48 (04): : 3379 - 3381
[8] CHARACTERIZATION OF STATE-INDEPENDENT AUTOMATA
GRZYMALABUSSE, JW
BAVEL, Z
THEORETICAL COMPUTER SCIENCE, 1986, 43 (01) : 1 - 10
[9] State-independent uncertainty relations
de Guise, Hubert
Maccone, Lorenzo
Sanders, Barry C.
Shukla, Namrata
PHYSICAL REVIEW A, 2018, 98 (04)
[10] State-independent contextuality in classical light
Li, Tao
Zeng, Qiang
Zhang, Xiong
Chen, Tian
Zhang, Xiangdong
SCIENTIFIC REPORTS, 2019, 9 (1)

← 1 2 3 4 5 →