Quantum alpha-entropy inequalities: Independent condition for local realism?

被引：177

作者：

Horodecki, R ^{[1
]}

Horodecki, P ^{[1
]}

Horodecki, M ^{[1
]}

机构：

[1] UNIV GDANSK,DEPT MATH & PHYS,PL-80952 GDANSK,POLAND

来源：

PHYSICS LETTERS A | 1996年 / 210卷 / 06期

关键词：

D O I：

10.1016/0375-9601(95)00930-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Quantum alpha-entropy inequalities equivalent to Bell's inequality for pure states are considered in the context of the local hidden variable (LHV) model and compared with Bell's inequalities. For alpha = 1,2 they are shown to be satisfied by convex combinations of product states and Werner's mixtures admitting the model. The 2-entropy inequality is proven to be stronger than Bell's inequality in the two-spin-1/2 case. In the latter, the ct-entropy inequalities taken as a joint condition exclude teleportation admitted in spite of the existence of the LHV model for the Werner-Popescu states.

引用

收藏

页码：377 / 381

页数：5

相关论文

共 22 条

[1] TO WHAT EXTENT DO MIXED STATES VIOLATE THE BELL INEQUALITIES [J].

ARAVIND, PK .

PHYSICS LETTERS A, 1995, 200 (05) :345-349

[2] BELL INEQUALITY AND THE SCHMIDT DECOMPOSITION [J].

BARNETT, SM ;

PHOENIX, SJD .

PHYSICS LETTERS A, 1992, 167 (03) :233-237

[3] INFORMATION-THEORY, SQUEEZING, AND QUANTUM CORRELATIONS [J].

BARNETT, SM ;

PHOENIX, SJD .

PHYSICAL REVIEW A, 1991, 44 (01) :535-545

[4]

Bell JS., 1964, Phys. Phys. Fiz., V1, P195, DOI [10.1103/Physics-PhysiqueFizika.1.195, DOI 10.1103/PHYSICSPHYSIQUEFIZIKA.1.195]

[5] TELEPORTING AN UNKNOWN QUANTUM STATE VIA DUAL CLASSICAL AND EINSTEIN-PODOLSKY-ROSEN CHANNELS [J].

BENNETT, CH ;

BRASSARD, G ;

CREPEAU, C ;

JOZSA, R ;

PERES, A ;

WOOTTERS, WK .

PHYSICAL REVIEW LETTERS, 1993, 70 (13) :1895-1899

[6] MAXIMAL VIOLATION OF BELL INEQUALITIES FOR MIXED STATES [J].

BRAUNSTEIN, SL ;

MANN, A ;

REVZEN, M .

PHYSICAL REVIEW LETTERS, 1992, 68 (22) :3259-3261

[7] SCHRODINGER-CAT STATES IN THE RESONANT JAYNES-CUMMINGS MODEL - COLLAPSE AND REVIVAL OF OSCILLATIONS OF THE PHOTON-NUMBER DISTRIBUTION [J].

BUZEK, V ;

MOYACESSA, H ;

KNIGHT, PL ;

PHOENIX, SJD .

PHYSICAL REVIEW A, 1992, 45 (11) :8190-8203

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

CLAUSER, JF ;

HORNE, MA ;

SHIMONY, A ;

HOLT, RA .

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

[9] Can quantum-mechanical description of physical reality be considered complete? [J].

Einstein, A ;

Podolsky, B ;

Rosen, N .

PHYSICAL REVIEW, 1935, 47 (10) :0777-0780

[10] BELL INEQUALITY HOLDS FOR ALL NON-PRODUCT STATES [J].

GISIN, N .

PHYSICS LETTERS A, 1991, 154 (5-6) :201-202