Optimal estimation of multiple phases

被引：40

作者：

Macchiavello, C

机构：

[1] INFM, I-27100 Pavia, Italy

[2] Dipartimento Fis A Volta, I-27100 Pavia, Italy

来源：

PHYSICAL REVIEW A | 2003年 / 67卷 / 06期

关键词：

D O I：

10.1103/PhysRevA.67.062302

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We study the issue of simultaneous estimation of several phase shifts induced by commuting operators on a quantum state. We derive the optimal positive-operator-valued measure corresponding to the multiple-phase estimation. In particular, we discuss the explicit case of the optimal detection of double phase for a system of identical qutrits and generalize these results to optimal multiple-phase detection for d-dimensional quantum states.

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页数：5

相关论文

共 16 条

[1] Quantum cryptography with 3-state systems [J].

Bechmann-Pasquinucci, H ;

Peres, A .

PHYSICAL REVIEW LETTERS, 2000, 85 (15) :3313-3316

[2] Optimal frequency measurements with maximally correlated states [J].

Bollinger, JJ ;

Itano, WM ;

Wineland, DJ ;

Heinzen, DJ .

PHYSICAL REVIEW A, 1996, 54 (06) :R4649-R4652

[3] Optimal eavesdropping in cryptography with three-dimensional quantum states [J].

Bruss, D ;

Macchiavello, C .

PHYSICAL REVIEW LETTERS, 2002, 88 (12) :4

[4] Optimal state estimation for d-dimensional quantum systems [J].

Bruss, D ;

Macchiavello, C .

PHYSICS LETTERS A, 1999, 253 (5-6) :249-251

[5] Cloning a qutrit [J].

Cerf, NJ ;

Durt, T ;

Gisin, N .

JOURNAL OF MODERN OPTICS, 2002, 49 (08) :1355-1373

[6] Security of quantum key distribution using d-level systems -: art. no. 127902 [J].

Cerf, NJ ;

Bourennane, M ;

Karlsson, A ;

Gisin, N .

PHYSICAL REVIEW LETTERS, 2002, 88 (12) :4-127902

[7]

Cleve R, 1998, P ROY SOC A-MATH PHY, V454, P339, DOI 10.1002/(SICI)1099-0526(199809/10)4:1<33::AID-CPLX10>3.0.CO

[8]

2-U

[9] Optimal phase-covariant cloning for qubits and qutrits [J].

D'Ariano, GM ;

Macchiavello, C .

PHYSICAL REVIEW A, 2003, 67 (04) :9

[10] On the general problem of quantum phase estimation [J].

D'Ariano, GM ;

Macchiavello, C ;

Sacchi, ME .

PHYSICS LETTERS A, 1998, 248 (2-4) :103-108