Fidelity and entanglement fidelity for infinite-dimensional quantum systems

被引：8

作者：

Wang, Li ^{[1
]}

Hou, Jinchuan ^{[1
]}

Qi, Xiaofei ^{[2
]}

机构：

[1] Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Peoples R China

[2] Shanxi Univ, Dept Math, Taiyuan 030006, Peoples R China

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2014年 / 47卷 / 33期

基金：

中国国家自然科学基金;

关键词：

quantum states; quantum channels; fidelity; entanglement fidelity; trace distance;

D O I：

10.1088/1751-8113/47/33/335304

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Instead of unitary freedom for finite-dimensional cases, bi-contractive freedom in the operator-sum representation for quantum channels of infinite-dimensional systems is established. Specifically, if the channel sends every pure state to a finite rank state, then the isometric freedom feature holds. Then, a method of computing entanglement fidelity and a relation between quantum fidelity and entanglement fidelity for infinite-dimensional systems are obtained. In addition, upper and lower bounds of the quantum fidelity, and their connection to the trace distance, are also provided.

引用

页数：17

共 21 条

[1]

[Anonymous], 1986, FUNDAMENTALS THEORY

[2] On quantum fidelities and channel capacities [J].

Barnum, H ;

Knill, E ;

Nielsen, MA .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2000, 46 (04) :1317-1329

[3] COMPLETELY POSITIVE LINEAR MAPS ON COMPLEX MATRICES [J].

CHOI, MD .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1975, 10 (03) :285-290

[4]

Chuang I. N., 2000, Quantum Computation and Quantum Information

[5] Quantum chaos and operator fidelity metric [J].

Giorda, Paolo ;

Zanardi, Paolo .

PHYSICAL REVIEW E, 2010, 81 (01)

[6] A characterization of positive linear maps and criteria of entanglement for quantum states [J].

Hou, Jinchuan .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (38)

[7] Operator-sum representation for bosonic Gaussian channels [J].

Ivan, J. Solomon ;

Sabapathy, Krishna Kumar ;

Simon, R. .

PHYSICAL REVIEW A, 2011, 84 (04)

[8]

Kadison R. V., 1986, Advanced Theory, V2

[9] Theory of quantum error correction for general noise [J].

Knill, E ;

Laflamme, R ;

Viola, L .

PHYSICAL REVIEW LETTERS, 2000, 84 (11) :2525-2528

[10] Operator fidelity susceptibility, decoherence, and quantum criticality [J].

Lu, Xiao-Ming ;

Sun, Zhe ;

Wang, Xiaoguang ;

Zanardi, Paolo .

PHYSICAL REVIEW A, 2008, 78 (03)

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