Resource theory of contextuality

被引：16

作者：

Amaral, Barbara ^{[1
,2
]}

机构：

[1] CAP Univ Fed Sao Joao del Rei, Dept Fis & Matemat, BR-36420000 Ouro Branco, MG, Brazil

[2] Univ Sao Paulo, Inst Phys, Dept Math Phys, R Matao 1371, BR-05508090 Sao Paulo, SP, Brazil

来源：

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2019年 / 377卷 / 2157期

关键词：

contextuality; resource theory; quantum information;

D O I：

10.1098/rsta.2019.0010

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In addition to the important role of contextuality in foundations of quantum theory, this intrinsically quantum property has been identified as a potential resource for quantum advantage in different tasks. It is thus of fundamental importance to study contextuality from the point of view of resource theories, which provide a powerful framework for the formal treatment of a property as an operational resource. In this contribution, we review recent developments towards a resource theory of contextuality and connections with operational applications of this property. This article is part of the theme issue 'Contextuality and probability in quantum mechanics and beyond'.

引用

页数：15

共 43 条

[1] Contextual Fraction as a Measure of Contextuality [J].

Abramsky, Samson ;

Barbosa, Rui Soares ;

Mansfield, Shane .

PHYSICAL REVIEW LETTERS, 2017, 119 (05)

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

Abramsky, Samson ;

Brandenburger, Adam .

NEW JOURNAL OF PHYSICS, 2011, 13

[3]

Amaral B, 2018, SPRINGER BRIEFS MATH

[4] Noncontextual Wirings [J].

Amaral, Barbara ;

Cabello, Adan ;

Cunha, Marcelo Terra ;

Aolita, Leandro .

PHYSICAL REVIEW LETTERS, 2018, 120 (13)

[5]

Amaral Barbara., 2017, GEOMETRICAL ASPECTS

[6] Experimental Fully Contextual Correlations [J].

Amselem, Elias ;

Danielsen, Lars Eirik ;

Lopez-Tarrida, Antonio J. ;

Portillo, Jose R. ;

Bourennane, Mohamed ;

Cabello, Adan .

PHYSICAL REVIEW LETTERS, 2012, 108 (20)

[7] Computational Power of Correlations [J].

Anders, Janet ;

Browne, Dan E. .

PHYSICAL REVIEW LETTERS, 2009, 102 (05)

[8]

[Anonymous], 2012, ELEMENTS INFORM THEO

[9]

Arvidsson-Shukur DRM, 2019, CONTEXTUALITY PROVID

[10] Contextuality as a Resource for Models of Quantum Computation with Qubits [J].

Bermejo-Vega, Juan ;

Delfosse, Nicolas ;

Browne, Dan E. ;

Okay, Cihan ;

Raussendorf, Robert .

PHYSICAL REVIEW LETTERS, 2017, 119 (12)

← 1 2 3 4 5 →