Entropic Test of Quantum Contextuality

被引：59

作者：

Kurzynski, P. ^{[1
,2
]}

Ramanathan, R. ^{[1
]}

Kaszlikowski, D. ^{[1
,3
]}

机构：

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

[2] Adam Mickiewicz Univ, Fac Phys, PL-61614 Poznan, Poland

[3] Natl Univ Singapore, Dept Phys, Singapore 117542, Singapore

来源：

PHYSICAL REVIEW LETTERS | 2012年 / 109卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

BELL INEQUALITIES; HIDDEN-VARIABLES; INFORMATION; MECHANICS;

D O I：

10.1103/PhysRevLett.109.020404

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the contextuality of a three-level quantum system using classical conditional entropy of measurement outcomes. First, we analytically construct the minimal configuration of measurements required to reveal contextuality. Next, an entropic contextual inequality is formulated, analogous to the entropic Bell inequalities derived by Braunstein and Caves [Phys. Rev. Lett. 61, 662 (1988)], that must be satisfied by all noncontextual theories. We find optimal measurements for violation of this inequality. The approach is easily extendable to higher dimensional quantum systems and more measurements. Our theoretical findings can be verified in the laboratory with current technology.

引用

页数：5

共 15 条

[1] The sheaf-theoretic structure of non-locality and contextuality
Abramsky, Samson
Brandenburger, Adam
[J]. NEW JOURNAL OF PHYSICS, 2011, 13
[2] Bell J. S., 1964, Physics, V1, P195, DOI [10.1103/physicsphysiquefizika.1.195, DOI 10.1103/PHYSICSPHYSIQUEFIZIKA.1.195, 10.1103/Physics-PhysiqueFizika.1.195]
[3] INFORMATION-THEORETIC BELL INEQUALITIES
BRAUNSTEIN, SL
CAVES, CM
[J]. PHYSICAL REVIEW LETTERS, 1988, 61 (06) : 662 - 665
[4] The extension problem for partial Boolean structures in quantum mechanics
Budroni, Costantino
Morchio, Giovanni
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (12)
[5] Negative entropy and information in quantum mechanics
Cerf, NJ
Adami, C
[J]. PHYSICAL REVIEW LETTERS, 1997, 79 (26) : 5194 - 5197
[6] PROPOSED EXPERIMENT TO TEST LOCAL HIDDEN-VARIABLE THEORIES
CLAUSER, JF
HORNE, MA
SHIMONY, A
HOLT, RA
[J]. PHYSICAL REVIEW LETTERS, 1969, 23 (15) : 880 - &
[7] Can quantum-mechanical description of physical reality be considered complete?
Einstein, A
Podolsky, B
Rosen, N
[J]. PHYSICAL REVIEW, 1935, 47 (10): : 0777 - 0780
[8] HIDDEN-VARIABLES, JOINT PROBABILITY, AND THE BELL INEQUALITIES
FINE, A
[J]. PHYSICAL REVIEW LETTERS, 1982, 48 (05) : 291 - 295
[9] Fritz T., 2012, PHYS REV A
[10] Simple test for hidden variables in spin-1 systems
Klyachko, Alexander A.
Can, M. Ali
Binicioglu, Sinem
Shumovsky, Alexander S.
[J]. PHYSICAL REVIEW LETTERS, 2008, 101 (02)

← 1 2 →