Optimal nonuniversally covariant cloning

被引：93

作者：

D'Ariano, GM

Lo Presti, P

机构：

[1] Univ Pavia, Theoret Quantum Opt Grp, I-27100 Pavia, Italy

[2] INFM, Unita Pavia, I-27100 Pavia, Italy

来源：

PHYSICAL REVIEW A | 2001年 / 64卷 / 04期

关键词：

D O I：

10.1103/PhysRevA.64.042308

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We consider nonuniversal cloning maps, namely, cloning transformations that are covariant under a proper subgroup G of the universal unitary group U(d), where d is the dimension of the Hilbert space H of the system to be cloned. We give a general method for optimizing cloning for any cost function. Examples of applications are given for phase-covariant cloning (cloning of equatorial qubits and qutrits) and for the Weyl-Heisenberg group (cloning of "continuous variables").

引用

页数：8

共 23 条

[1]

[Anonymous], 1996, Matrix Analysis

[2] Quantum cloning and distributed measurements -: art. no. 042308 [J].

Bruss, D ;

Calsamiglia, J ;

Lütkenhaus, N .

PHYSICAL REVIEW A, 2001, 63 (04) :1-9

[3] Optimal universal quantum cloning and state estimation [J].

Bruss, D ;

Ekert, A ;

Macchiavello, C .

PHYSICAL REVIEW LETTERS, 1998, 81 (12) :2598-2601

[4]

Bruss D, 2000, PHYS REV A, V62, DOI [10.1103/PhysRevA.62.012302, 10.1103/PhysRevA.62.062302]

[5] Quantum copying: Beyond the no-cloning theorem [J].

Buzek, V ;

Hillery, M .

PHYSICAL REVIEW A, 1996, 54 (03) :1844-1852

[6] Cloning of continuous quantum variables [J].

Cerf, NJ ;

Ipe, A ;

Rottenberg, X .

PHYSICAL REVIEW LETTERS, 2000, 85 (08) :1754-1757

[7] Equivalence between squeezed-state and twin-beam communication channels [J].

D'Ariano, GM ;

Sacchi, MF .

MODERN PHYSICS LETTERS B, 1997, 11 (29) :1263-1275

[8] Bell measurements and observables [J].

D'Ariano, GM ;

Lo Presti, P ;

Sacchi, MF .

PHYSICS LETTERS A, 2000, 272 (1-2) :32-38

[9] Joint measurements via quantum cloning [J].

D'Ariano, GM ;

Macchiavello, C ;

Sacchi, MF .

JOURNAL OF OPTICS B-QUANTUM AND SEMICLASSICAL OPTICS, 2001, 3 (02) :44-50

[10] Continuous variable cloning via network of parametric gates [J].

D'Ariano, GM ;

De Martini, F ;

Sacchi, MF .

PHYSICAL REVIEW LETTERS, 2001, 86 (05) :914-917

← 1 2 3 →