Generalized Bell inequality and a method for its verification

被引：7

作者：

Andreev, V. A. ^{[1
]}

机构：

[1] RAS, PN Lebedev Phys Inst, Moscow 117901, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2007年 / 152卷 / 03期

关键词：

quantum mechanics; entangled state; density matrix; Bell inequality;

D O I：

10.1007/s11232-007-0113-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We use the reduced density matrix of the two-particle spin state to construct a generalized Bell-Clauser-Horne -Shimony-Holt inequality. For each speciffic state and under a special choice of the vectors (a) over right arrow, (b) over right arrow, (c) over right arrow, and (d) over right arrow, this inequality becomes an exact equality. We show how such vectors can be found using the reduced density matrix. Both sides of this equality have a speciffic numerical value. We indicate the connection of this number with the measure of entanglement of the two-particle spin state.

引用

页码：1286 / 1298

页数：13

共 21 条

[1]

ACCARDI L, 2000, ARXIVQUANTPH0007005V

[2] Two-particle spin states and generalized Bell's inequalities [J].

Andreev, VA ;

Man'ko, VI .

JETP LETTERS, 2000, 72 (02) :93-96

[3] Tomography of spin states, the entanglement criterion, and Bell's inequalities [J].

Andreev, VA ;

Man'ko, VI ;

Man'ko, OV ;

Shchukin, EV .

THEORETICAL AND MATHEMATICAL PHYSICS, 2006, 146 (01) :140-151

[4] The classification of two-particle spin states and generalized Bell inequalities [J].

Andreev, VA ;

Man'ko, VI .

PHYSICS LETTERS A, 2001, 281 (5-6) :278-288

[5]

ANDREEV VA, 2004, MATH MODEL PHYS ENG, V10, P47

[6] EXPERIMENTAL REALIZATION OF EINSTEIN-PODOLSKY-ROSEN-BOHM GEDANKENEXPERIMENT - A NEW VIOLATION OF BELL INEQUALITIES [J].

ASPECT, A ;

GRANGIER, P ;

ROGER, G .

PHYSICAL REVIEW LETTERS, 1982, 49 (02) :91-94

[7] EXPERIMENTAL TESTS OF REALISTIC LOCAL THEORIES VIA BELLS THEOREM [J].

ASPECT, A ;

GRANGIER, P ;

ROGER, G .

PHYSICAL REVIEW LETTERS, 1981, 47 (07) :460-463

[8] EXPERIMENTAL TEST OF BELL INEQUALITIES USING TIME-VARYING ANALYZERS [J].

ASPECT, A ;

DALIBARD, J ;

ROGER, G .

PHYSICAL REVIEW LETTERS, 1982, 49 (25) :1804-1807

[9]

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

[10] PROPOSED EXPERIMENT TO TEST LOCAL HIDDEN-VARIABLE THEORIES [J].

CLAUSER, JF ;

HORNE, MA ;

SHIMONY, A ;

HOLT, RA .

PHYSICAL REVIEW LETTERS, 1969, 23 (15) :880-&

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