Noise robustness of the nonlocality of entangled quantum states

被引：108

作者：

Almeida, Mafalda L. ^{[1
]}

Pironio, Stefano

Barrett, Jonathan

Toth, Geza

Acin, Antonio

机构：

[1] ICFO, Inst Ciencies Foton, E-08860 Barcelona, Spain

[2] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada

[3] Res Inst Solid State Phys & Opt, H-1525 Budapest, Hungary

[4] Lluis Co, ICREA, Barcelona 08010, Spain

来源：

PHYSICAL REVIEW LETTERS | 2007年 / 99卷 / 04期

关键词：

SEPARABILITY;

D O I：

10.1103/PhysRevLett.99.040403

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the nonlocal properties of states resulting from the mixture of an arbitrary entangled state rho of two d-dimensional systems and completely depolarized noise, with respective weights p and 1-p. We first construct a local model for the case in which rho is maximally entangled and p at or below a certain bound. We then extend the model to arbitrary rho. Our results provide bounds on the resistance to noise of the nonlocal correlations of entangled states. For projective measurements, the critical value of the noise parameter p for which the state becomes local is at least asymptotically log(d) larger than the critical value for separability.

引用

页数：4

共 24 条

[1] 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

[2] Grothendieck's constant and local models for noisy entangled quantum states [J].

Acin, Antonio ;

Gisin, Nicolas ;

Toner, Benjamin .

PHYSICAL REVIEW A, 2006, 73 (06)

[3] Device-independent security of quantum cryptography against collective attacks [J].

Acin, Antonio ;

Brunner, Nicolas ;

Gisin, Nicolas ;

Massar, Serge ;

Pironio, Stefano ;

Scarani, Valerio .

PHYSICAL REVIEW LETTERS, 2007, 98 (23)

[4] From Bell's theorem to secure quantum key distribution [J].

Acin, Antonio ;

Gisin, Nicolas ;

Masanes, Lluis .

PHYSICAL REVIEW LETTERS, 2006, 97 (12)

[5] No signaling and quantum key distribution [J].

Barrett, J ;

Hardy, L ;

Kent, A .

PHYSICAL REVIEW LETTERS, 2005, 95 (01)

[6] Nonsequential positive-operator-valued measurements on entangled mixed states do not always violate a Bell inequality [J].

Barrett, J .

PHYSICAL REVIEW A, 2002, 65 (04) :4

[7]

Bell J., 1964, Physics, V1, P195, DOI [10.1103/PhysicsPhysiqueFizika.1.195, 10.1103/Physics-PhysiqueFizika.1.195]

[8]

BRASSARD G, ARXIVQUANTPH0101005, P27902

[9] Separability of very noisy mixed states and implications for NMR Quantum computing [J].

Braunstein, SL ;

Caves, CM ;

Jozsa, R ;

Linden, N ;

Popescu, S ;

Schack, R .

PHYSICAL REVIEW LETTERS, 1999, 83 (05) :1054-1057

[10] Quantum communication complexity protocol with two entangled qutrits [J].

Brukner, C ;

Zukowski, M ;

Zeilinger, A .

PHYSICAL REVIEW LETTERS, 2002, 89 (19)

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