Asymptotic Continuity of Additive Entanglement Measures

被引：3

作者：

Vrana, Peter ^{[1
,2
]}

机构：

[1] Budapest Univ Technol & Econ, Dept Geometry, Inst Math, H-1111 Budapest, Hungary

[2] MTA BME Lendulet Quantum Informat Theory Res Grp, H-1111 Budapest, Hungary

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2022年 / 68卷 / 05期

关键词：

Additives; Entropy; Hilbert space; Upper bound; Technological innovation; Quantum communication; Costs; Asymptotic entanglement transformations; entanglement measures; additivity; asymptotic continuity; SQUASHED ENTANGLEMENT; QUANTUM; EQUIVALENCE; ENTROPY; STATES;

D O I：

10.1109/TIT.2022.3143845

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We study rates of asymptotic transformations between entangled states by local operations and classical communication and a sublinear amount of quantum communication. It is known that additive asymptotically continuous entanglement measures provide upper bounds on the rates that are achievable with asymptotically vanishing error. We show that for transformations between pure states, the optimal rate between any pair of states can be characterized as the infimum of such upper bounds provided by fully additive asymptotically continuous entanglement measures.

引用

页码：3208 / 3217

页数：10

共 42 条

[1] Continuity of quantum conditional information [J].

Alicki, R ;

Fannes, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (05) :L55-L57

[2]

[Anonymous], 2008, ARXIV08010458

[3] Exact and asymptotic measures of multipartite pure-state entanglement [J].

Bennett, Charles H., 2001, American Inst of Physics, Woodbury (63)

[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] Remarks on the equivalence of full additivity and monotonicity for the entanglement cost [J].

Brandao, F. G. S. L. ;

Horodecki, M. ;

Plenio, M. B. ;

Virmani, S. .

OPEN SYSTEMS & INFORMATION DYNAMICS, 2007, 14 (03) :333-339

[7] A Generalization of Quantum Stein's Lemma [J].

Brandao, Fernando G. S. L. ;

Plenio, Martin B. .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2010, 295 (03) :791-828

[8]

Chen K, 2007, QUANTUM INF COMPUT, V7, P689

[9] Uncertainty, monogamy, and locking of quantum correlations [J].

Christandl, M ;

Winter, A .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (09) :3159-3165

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

Christandl, M ;

Winter, A .

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

← 1 2 3 4 5 →