Extracontextuality and extravalence in quantum mechanics

被引：16

作者：

Auffeves, Alexia ^{[1
]}

Grangier, Philippe ^{[2
]}

机构：

[1] Inst Neel, BP 166,25 Rue Martyrs, F-38042 Grenoble 9, France

[2] Univ Paris Saclay, CNRS, Lab Charles Fabry, IOGS, F-91127 Palaiseau, France

来源：

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2018年 / 376卷 / 2123期

关键词：

contextuality; Kochen-Specker theorem; Gleason theorem;

D O I：

10.1098/rsta.2017.0311

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：

We develop the point of view where quantum mechanics results from the interplay between the quantized number of 'modalities' accessible to a quantum system, and the continuum of 'contexts' that are required to define these modalities. We point out the specific roles of 'extracontextuality' and 'extravalence' of modalities, and relate them to the Kochen-Specker and Gleason theorems. This article is part of a discussion meeting issue 'Foundations of quantum mechanics and their impact on contemporary society'.

引用

页数：10

共 16 条

[1]

Aspect Alain, 2015, Physics, V8, DOI 10.1103/Physics.8.123

[2]

Auffeves A, 2015, ARXIV150501369

[3] Recovering the quantum formalism from physically realist axioms [J].

Auffeves, Alexia ;

Grangier, Philippe .

SCIENTIFIC REPORTS, 2017, 7

[4] Violation of Bell's inequalities in a quantum realistic framework [J].

Auffeves, Alexia ;

Grangier, Philippe .

INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2016, 14 (04)

[5] Contexts, Systems and Modalities: A New Ontology for Quantum Mechanics [J].

Auffeves, Alexia ;

Grangier, Philippe .

FOUNDATIONS OF PHYSICS, 2016, 46 (02) :121-137

[6]

Bell Mary, 2016, Quantum nonlocality and reality: 50 years of Bell's theorem

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

Cabello, A ;

Estebaranz, JM ;

GarciaAlcaine, G .

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

[8] Significant-Loophole-Free Test of Bell's Theorem with Entangled Photons [J].

Giustina, Marissa ;

Versteegh, Marijn A. M. ;

Wengerowsky, Soeren ;

Handsteiner, Johannes ;

Hochrainer, Armin ;

Phelan, Kevin ;

Steinlechner, Fabian ;

Kofler, Johannes ;

Larsson, Jan-Ake ;

Abellan, Carlos ;

Amaya, Waldimar ;

Pruneri, Valerio ;

Mitchell, Morgan W. ;

Beyer, Joern ;

Gerrits, Thomas ;

Lita, Adriana E. ;

Shalm, Lynden K. ;

Nam, Sae Woo ;

Scheidl, Thomas ;

Ursin, Rupert ;

Wittmann, Bernhard ;

Zeilinger, Anton .

PHYSICAL REVIEW LETTERS, 2015, 115 (25)

[9]

GLEASON AM, 1957, J MATH MECH, V6, P885

[10] Contextual objectivity: a realistic interpretation of quantum mechanics [J].

Grangier, P .

EUROPEAN JOURNAL OF PHYSICS, 2002, 23 (03) :331-337

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