INTRODUCTION TO THE BASICS OF ENTANGLEMENT THEORY IN CONTINUOUS-VARIABLE SYSTEMS

被引：286

作者：

Eisert, J. ^{[1
,2
]}

Plenio, M. B. ^{[2
]}

机构：

[1] Univ Potsdam, Inst Phys, D-14469 Potsdam, Germany

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

来源：

INTERNATIONAL JOURNAL OF QUANTUM INFORMATION | 2003年 / 1卷 / 04期

基金：

英国工程与自然科学研究理事会;

关键词：

Continuous variable entanglement; entanglement quantification; entanglement distillation;

D O I：

10.1142/S0219749903000371

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We outline the basic questions that are being studied in any theory of entanglement. Following a brief review of some of the main achievements of entanglement theory for finite-dimensional systems such as qubits, we will then consider entanglement in infinite-dimensional systems. Asking for a theory of entanglement in such systems under experimentally feasible operations leads to the development of the theory of entanglement of Gaussian states. Results of this theory are presented and the tools that have been developed for this theory are then applied to a number of problems.

引用

页码：479 / 506

页数：28

共 86 条

[1]

[Anonymous], 1996, Matrix Analysis

[2] The real symplectic groups in quantum mechanics and optics [J].

Arvind ;

Dutta, B ;

Mukunda, N ;

Simon, R .

PRAMANA-JOURNAL OF PHYSICS, 1995, 45 (06) :471-497

[3] Entanglement properties of the harmonic chain [J].

Audenaert, K ;

Eisert, J ;

Plenio, MB ;

Werner, RR .

PHYSICAL REVIEW A, 2002, 66 (04) :14

[4] 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

[5] 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

[6] RESOURCE LETTER IQM-2 - FOUNDATIONS OF QUANTUM-MECHANICS SINCE THE BELL INEQUALITIES [J].

BALLENTINE, LE .

AMERICAN JOURNAL OF PHYSICS, 1987, 55 (09) :785-792

[7]

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

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

Bennett, CH ;

Bernstein, HJ ;

Popescu, S ;

Schumacher, B .

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

[9] Modewise entanglement of Gaussian states [J].

Botero, A ;

Reznik, B .

PHYSICAL REVIEW A, 2003, 67 (05) :5

[10] Driving non-Gaussian to Gaussian states with linear optics [J].

Browne, DE ;

Eisert, J ;

Scheel, S ;

Plenio, MB .

PHYSICAL REVIEW A, 2003, 67 (06) :9

← 1 2 3 4 5 6 7 8 9 →