Contextual Fraction as a Measure of Contextuality

被引：96

作者：

Abramsky, Samson ^{[1
]}

Barbosa, Rui Soares ^{[1
]}

Mansfield, Shane ^{[2
]}

机构：

[1] Univ Oxford, Dept Comp Sci, Wolfson Bldg,Parks Rd, Oxford OX1 3QD, England

[2] Univ Edinburgh, Sch Informat, Informat Forum, 10 Crichton St, Edinburgh EH8 9AB, Midlothian, Scotland

来源：

PHYSICAL REVIEW LETTERS | 2017年 / 119卷 / 05期

基金：

英国工程与自然科学研究理事会;

关键词：

QUANTUM NONLOCALITY;

D O I：

10.1103/PhysRevLett.119.050504

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the contextual fraction as a quantitative measure of contextuality of empirical models, i.e., tables of probabilities of measurement outcomes in an experimental scenario. It provides a general way to compare the degree of contextuality across measurement scenarios; it bears a precise relationship to violations of Bell inequalities; its value, and a witnessing inequality, can be computed using linear programing; it is monotonic with respect to the "free" operations of a resource theory for contextuality; and it measures quantifiable advantages in informatic tasks, such as games and a form of measurement-based quantum computing.

引用

页数：6

共 32 条

[1]

Abramsky S., 2017, P 42 INT S MATH FDN

[2] Hardy is (almost) everywhere: Nonlocality without inequalities for almost all entangled multipartite states [J].

Abramsky, Samson ;

Constantin, Carmen M. ;

Ying, Shenggang .

INFORMATION AND COMPUTATION, 2016, 250 :3-14

[3] A classification of multipartite states by degree of non-locality [J].

Abramsky, Samson ;

Constantin, Carmen .

ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE, 2014, (171) :10-25

[4] Logical Bell inequalities [J].

Abramsky, Samson ;

Hardy, Lucien .

PHYSICAL REVIEW A, 2012, 85 (06)

[5] The sheaf-theoretic structure of non-locality and contextuality [J].

Abramsky, Samson ;

Brandenburger, Adam .

NEW JOURNAL OF PHYSICS, 2011, 13

[6] Quantum nonlocality in two three-level systems -: art. no. 052325 [J].

Acín, A ;

Durt, T ;

Gisin, N ;

Latorre, JI .

PHYSICAL REVIEW A, 2002, 65 (05) :523251-523258

[7]

Amaral B., ARXIV170507911

[8] Computational Power of Correlations [J].

Anders, Janet ;

Browne, Dan E. .

PHYSICAL REVIEW LETTERS, 2009, 102 (05)

[9] Fully nonlocal quantum correlations [J].

Aolita, Leandro ;

Gallego, Rodrigo ;

Acin, Antonio ;

Chiuri, Andrea ;

Vallone, Giuseppe ;

Mataloni, Paolo ;

Cabello, Adan .

PHYSICAL REVIEW A, 2012, 85 (03)

[10] Nonlocal correlations as an information-theoretic resource [J].

Barrett, J ;

Linden, N ;

Massar, S ;

Pironio, S ;

Popescu, S ;

Roberts, D .

PHYSICAL REVIEW A, 2005, 71 (02)

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