Bell Inequalities Tailored to Maximally Entangled States

被引：54

作者：

Salavrakos, Alexia ^{[1
]}

Augusiak, Remigiusz ^{[2
]}

Tura, Jordi ^{[1
,3
]}

Wittek, Peter ^{[1
,4
]}

Acin, Antonio ^{[1
,5
]}

Pironio, Stefano ^{[6
]}

机构：

[1] Barcelona Inst Sci & Technol, ICFO Inst Ciencies Foton, Barcelona 08860, Spain

[2] Polish Acad Sci, Ctr Theoret Phys, Aleja Lotnikow 32-46, PL-02668 Warsaw, Poland

[3] Max Planck Inst Quantum Opt, Hans Kopfermann Str 1, D-85748 Garching, Germany

[4] Univ Boras, Allegatan 1, S-50190 Boras, Sweden

[5] ICREA Inst Catalana Recerca & Estudis Avancats, E-08010 Barcelona, Spain

[6] ULB, Lab Informat Quant, CP 224, B-1050 Brussels, Belgium

来源：

PHYSICAL REVIEW LETTERS | 2017年 / 119卷 / 04期

关键词：

QUANTUM CORRELATIONS; NONLOCALITY; PRINCIPLE;

D O I：

10.1103/PhysRevLett.119.040402

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Bell inequalities have traditionally been used to demonstrate that quantum theory is nonlocal, in the sense that there exist correlations generated from composite quantum states that cannot be explained by means of local hidden variables. With the advent of device-independent quantum information protocols, Bell inequalities have gained an additional role as certificates of relevant quantum properties. In this work, we consider the problem of designing Bell inequalities that are tailored to detect maximally entangled states. We introduce a class of Bell inequalities valid for an arbitrary number of measurements and results, derive analytically their tight classical, nonsignaling, and quantum bounds and prove that the latter is attained by maximally entangled states. Our inequalities can therefore find an application in device-independent protocols requiring maximally entangled states.

引用

页数：6

共 50 条

[1] Maximally entangled states and the Bell inequality
Cereceda, JL
[J]. PHYSICS LETTERS A, 1996, 212 (03) : 123 - 129
[2] Maximally entangled coherent states and strong violations of Bell-type inequalities
Gerry, Christopher C.
Mimih, Jihane
Benmoussa, Adil
[J]. PHYSICAL REVIEW A, 2009, 80 (02):
[3] Bell-Klyshko inequalities to characterize maximally entangled states of n qubits
Chen, ZQ
[J]. PHYSICAL REVIEW LETTERS, 2004, 93 (11) : 110403 - 1
[4] Bell inequality, Bell states and maximally entangled states for n qubits
Group of Applied Physics, University of Geneva, 1211 Geneva 4, Switzerland
[J]. Phys Lett Sect A Gen At Solid State Phys, 1-2 (1-6):
[5] Bell inequality, Bell states and maximally entangled states for n qubits
Gisin, N
Bechmann-Pasquinucci, H
[J]. PHYSICS LETTERS A, 1998, 246 (1-2) : 1 - 6
[6] Maximally entangled mixed states and the Bell inequality
Munro, WJ
Nemoto, K
[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2001, 56 (1-2): : 152 - 154
[7] Maximally entangled mixed states and the bell inequality
Munro, W.J.
Nemoto, K.
[J]. HP Laboratories Technical Report, 2001, (66):
[8] MAXIMALLY ENTANGLED STATES AND BELL'S INEQUALITY IN RELATIVISTIC REGIME
Moradi, Shahpoor
[J]. INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2009, 7 (01) : 395 - 401
[9] Role of maximally entangled states in the context of linear steering inequalities
Das, Debarshi
Sasmal, Souradeep
Roy, Arup
[J]. QUANTUM INFORMATION PROCESSING, 2019, 18 (10)
[10] Role of maximally entangled states in the context of linear steering inequalities
Debarshi Das
Souradeep Sasmal
Arup Roy
[J]. Quantum Information Processing, 2019, 18

← 1 2 3 4 5 →