Operator monotones, the reduction criterion and the relative entropy

被引：58

作者：

Plenio, MB ^{[1
]}

Virmani, S ^{[1
]}

Papadopoulos, P ^{[1
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Blackett Lab, Opt Sect, London SW7 2BZ, England

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2000年 / 33卷 / 22期

关键词：

D O I：

10.1088/0305-4470/33/22/101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce the theory of operator monotone functions and employ it to derive a new inequality relating the quantum relative entropy and the quantum conditional entropy. We present applications of this new inequality and, in particular, we prove a new lower bound on the relative entropy of entanglement and other properties of entanglement measures.

引用

页码：L193 / L197

页数：5

共 31 条

[1]

[Anonymous], 1996, Matrix Analysis

[2]

Bennett CH, 1996, PHYS REV A, V54, P3824, DOI 10.1103/PhysRevA.54.3824

[3] Concentrating partial entanglement by local operations [J].

Bennett, CH ;

Bernstein, HJ ;

Popescu, S ;

Schumacher, B .

PHYSICAL REVIEW A, 1996, 53 (04) :2046-2052

[4] Quantum extension of conditional probability [J].

Cerf, NJ ;

Adami, C .

PHYSICAL REVIEW A, 1999, 60 (02) :893-897

[5] FREE-ENERGY AND THE RELATIVE ENTROPY [J].

DONALD, MJ .

JOURNAL OF STATISTICAL PHYSICS, 1987, 49 (1-2) :81-87

[6] FURTHER RESULTS ON THE RELATIVE ENTROPY [J].

DONALD, MJ .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1987, 101 :363-373

[7] ON THE RELATIVE ENTROPY [J].

DONALD, MJ .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 105 (01) :13-34

[8] Method of areas for manipulating the entanglement properties of one copy of a two-particle pure entangled state [J].

Hardy, L .

PHYSICAL REVIEW A, 1999, 60 (03) :1912-1923

[9] Separability of mixed states: Necessary and sufficient conditions [J].

Horodecki, M ;

Horodecki, P ;

Horodecki, R .

PHYSICS LETTERS A, 1996, 223 (1-2) :1-8

[10] Reduction criterion of separability and limits for a class of distillation protocols [J].

Horodecki, M ;

Horodecki, P .

PHYSICAL REVIEW A, 1999, 59 (06) :4206-4216

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