Remarks on the equivalence of full additivity and monotonicity for the entanglement cost

被引：9

作者：

Brandao, F. G. S. L. ^{[1
]}

Horodecki, M.

Plenio, M. B.

Virmani, S.

机构：

[1] Univ Gdansk, Inst Theoret Phys & Astrophys, PL-80952 Gdansk, Poland

[2] Univ London Imperial Coll Sci Technol & Med, QOLS, Blackett Lab, London SW7 2BW, England

[3] Univ London Imperial Coll Sci Technol & Med, Inst Math Sci, London SW7 2BW, England

来源：

OPEN SYSTEMS & INFORMATION DYNAMICS | 2007年 / 14卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1007/s11080-007-9056-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyse the relationship between the full additivity of the entanglement cost and its full monotonicity under local operations and classical communication. We show that the two properties are equivalent for the entanglement cost. The proof works for the regularization of any convex, subadditive, and asymptotically continuous entanglement monotone, and hence also applies to the asymptotic relative entropy of entanglement.

引用

页码：333 / 339

页数：7

共 28 条

[1] Entanglement cost under positive-partial-transpose-preserving operations - art. no. 0279015 [J].

Audenaert, K ;

Plenio, MB ;

Eisert, J .

PHYSICAL REVIEW LETTERS, 2003, 90 (02) :4

[2] Asymptotic relative entropy of entanglement -: art. no. 217902 [J].

Audenaert, K ;

Eisert, J ;

Jané, E ;

Plenio, MB ;

Virmani, S ;

De Moor, B .

PHYSICAL REVIEW LETTERS, 2001, 87 (21) :217902-1

[3]

Audenaert KMR, 2004, COMMUN MATH PHYS, V246, P443, DOI [10.1007/s00220-003-0987-1, 10.1007/s00220-003-0997-1]

[4]

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

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

Bennett, CH ;

Bernstein, HJ ;

Popescu, S ;

Schumacher, B .

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

[6] Squashed entanglement: An additive entanglement measure [J].

Christandl, M ;

Winter, A .

JOURNAL OF MATHEMATICAL PHYSICS, 2004, 45 (03) :829-840

[7]

Cover TM, 2006, Elements of Information Theory

[8]

DiVincenzo D. P., 2000, PHYS REV A, V61

[9] The uniqueness theorem for entanglement measures [J].

Donald, MJ ;

Horodecki, M ;

Rudolph, O .

JOURNAL OF MATHEMATICAL PHYSICS, 2002, 43 (09) :4252-4272

[10] Distillability and partial transposition in bipartite systems -: art. no. 062313 [J].

Dür, W ;

Cirac, JI ;

Lewenstein, M ;

Bruss, D .

PHYSICAL REVIEW A, 2000, 61 (06) :8

← 1 2 3 →