Quantum Fisher Information in the Generalized One-axis Twisting Model

被引：27

作者：

Liu, Wan-Fang ^{[1
,2
]}

Xiong, Heng-Na ^{[1
]}

Ma, Jian ^{[1
]}

Wang, Xiaoguang ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Phys, Zhejiang Inst Modern Phys, Hangzhou 310027, Zhejiang, Peoples R China

[2] Anqing Teachers Coll, Sch Phys & Elect Engn, Anqing 246011, Peoples R China

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2010年 / 49卷 / 05期

关键词：

Quantum Fisher information; One-axis twisting model; Heisenberg limit; Entanglement; STATISTICAL DISTANCE; STATE;

D O I：

10.1007/s10773-010-0286-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the quantum Fisher information (QFI) of symmetric states for spin-s particles. We derive the maximal QFI, and find that quantum spin correlations are essential ingredients of the maximal QFI. We make applications to the generalized one-axis twisting model. The results show that the redistributions of uncertainties on the basis of the quantum correlations in the multiqubit system are useful for sub-shot-noise phase sensitivity. Furthermore, for high-spin (s > 1/2) composite systems, we find a sufficient criterion for entanglement.

引用

页码：1073 / 1081

页数：9

共 23 条

[1] COMMUNICATION VIA ONE-PARTICLE AND 2-PARTICLE OPERATORS ON EINSTEIN-PODOLSKY-ROSEN STATES [J].

BENNETT, CH ;

WIESNER, SJ .

PHYSICAL REVIEW LETTERS, 1992, 69 (20) :2881-2884

[2] TELEPORTING AN UNKNOWN QUANTUM STATE VIA DUAL CLASSICAL AND EINSTEIN-PODOLSKY-ROSEN CHANNELS [J].

BENNETT, CH ;

BRASSARD, G ;

CREPEAU, C ;

JOZSA, R ;

PERES, A ;

WOOTTERS, WK .

PHYSICAL REVIEW LETTERS, 1993, 70 (13) :1895-1899

[3] STATISTICAL DISTANCE AND THE GEOMETRY OF QUANTUM STATES [J].

BRAUNSTEIN, SL ;

CAVES, CM .

PHYSICAL REVIEW LETTERS, 1994, 72 (22) :3439-3443

[4] Effect of disorder on quantum phase transitions in anisotropic XY spin chains in a transverse field [J].

Bunder, JE ;

McKenzie, RH .

PHYSICAL REVIEW B, 1999, 60 (01) :344-358

[5] QUANTUM CRYPTOGRAPHY BASED ON BELL THEOREM [J].

EKERT, AK .

PHYSICAL REVIEW LETTERS, 1991, 67 (06) :661-663

[6] Renyi entropy of the XY spin chain [J].

Franchini, F. ;

Its, A. R. ;

Korepin, V. E. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (02)

[7]

Helstrom C W, 1976, QUANTUM DETECTION ES, P8

[8]

Holevo A. S., 1982, Probabilistic and statistical aspect of quantum theory

[9] SQUEEZED SPIN STATES [J].

KITAGAWA, M ;

UEDA, M .

PHYSICAL REVIEW A, 1993, 47 (06) :5138-5143

[10] Maximum Fisher information in mixed state quantum systems [J].

Luati, A .

ANNALS OF STATISTICS, 2004, 32 (04) :1770-1779

← 1 2 3 →