Quantum contextuality of a qutrit state

被引：6

作者：

Xu, Zhen-Peng ^{[1
]}

Su, Hong-Yi ^{[1
]}

Chen, Jing-Ling ^{[1
,2
]}

机构：

[1] Nankai Univ, Chern Inst Math, Div Theoret Phys, Tianjin 300071, Peoples R China

[2] Natl Univ Singapore, Ctr Quantum Technol, Singapore 117543, Singapore

来源：

PHYSICAL REVIEW A | 2015年 / 92卷 / 01期

基金：

美国国家科学基金会; 新加坡国家研究基金会;

关键词：

KOCHEN-SPECKER THEOREM; HIDDEN VARIABLES; MECHANICS; VECTORS;

D O I：

10.1103/PhysRevA.92.012104

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We present a study of quantum contextuality of three-dimensional mixed states for the Klyachko-Can-Binicioglu-Shumovsky (KCBS) and the Kurzynski-Kaszlikowski (KK) noncontextuality inequalities. For any class of states whose eigenvalues are arranged in decreasing order, a universal set of measurements always exists for the KK inequality, whereas none exists for the KCBS inequality. This difference can be reflected from the spectral distribution of the overall measurement matrix. Our results would facilitate the error analysis for experimental setups, and our spectral method in the paper combined with graph theory could be useful in future studies on quantum contextuality.

引用

页数：5

共 17 条

[1]

Abramsky S., 2012, ELECT P THEORET COMP, V95, P1

[2] ON PROBLEM OF HIDDEN VARIABLES IN QUANTUM MECHANICS [J].

BELL, JS .

REVIEWS OF MODERN PHYSICS, 1966, 38 (03) :447-&

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

Cabello, A ;

Estebaranz, JM ;

GarciaAlcaine, G .

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

[4] Graph-Theoretic Approach to Quantum Correlations [J].

Cabello, Adan ;

Severini, Simone ;

Winter, Andreas .

PHYSICAL REVIEW LETTERS, 2014, 112 (04)

[5] Contextuality supplies the 'magic' for quantum computation [J].

Howard, Mark ;

Wallman, Joel ;

Veitch, Victor ;

Emerson, Joseph .

NATURE, 2014, 510 (7505) :351-355

[6] BELL-KOCHEN-SPECKER THEOREM FOR 20 VECTORS [J].

KERNAGHAN, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (21) :L829-L830

[7] KOCHEN-SPECKER THEOREM FOR 8-DIMENSIONAL SPACE [J].

KERNAGHAN, M ;

PERES, A .

PHYSICS LETTERS A, 1995, 198 (01) :1-5

[8] Optimal Inequalities for State-Independent Contextuality [J].

Kleinmann, Matthias ;

Budroni, Costantino ;

Larsson, Jan-Ake ;

Guehne, Otfried ;

Cabello, Adan .

PHYSICAL REVIEW LETTERS, 2012, 109 (25)

[9] Simple test for hidden variables in spin-1 systems [J].

Klyachko, Alexander A. ;

Can, M. Ali ;

Binicioglu, Sinem ;

Shumovsky, Alexander S. .

PHYSICAL REVIEW LETTERS, 2008, 101 (02)

[10]

KOCHEN S, 1967, J MATH MECH, V17, P59

← 1 2 →