Entanglement versus relaxation and decoherence in a quantum algorithm for quantum chaos

被引：34

作者：

Bettelli, S ^{[1
]}

Shepelyansky, DL ^{[1
]}

机构：

[1] Univ Toulouse 3, Phys Quant Lab, CNRS, UMR 5626, F-31062 Toulouse 4, France

来源：

PHYSICAL REVIEW A | 2003年 / 67卷 / 05期

关键词：

D O I：

10.1103/PhysRevA.67.054303

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We study analytically and numerically the behavior of the concurrence (a measure of the entanglement of formation) of a pair of qubits in a quantum computer operating an efficient algorithm for quantum chaos. Our results show that in an ideal algorithm the entanglement decays exponentially with the diffusive relaxation rate induced by classical chaos. This decay reaches a residual level which drops exponentially with increasing number of qubits n(q). Decoherence destroys the residual entanglement with a rate exponential in n(q).

引用

页数：4

共 30 条

[1]

[Anonymous], 2009, Quantum computation and quantum information, DOI DOI 10.1119/1.1463744

[2] Testing statistical bounds on entanglement using quantum chaos [J].

Bandyopadhyay, JN ;

Lakshminarayan, A .

PHYSICAL REVIEW LETTERS, 2002, 89 (06)

[3] Efficient quantum computing of complex dynamics [J].

Benenti, G ;

Casati, G ;

Montangero, S ;

Shepelyansky, DL .

PHYSICAL REVIEW LETTERS, 2001, 87 (22) :227901-227901

[4] Eigenstates of an operating quantum computer: hypersensitivity to static imperfections [J].

Benenti, G ;

Casati, G ;

Montangero, S ;

Shepelyansky, DL .

EUROPEAN PHYSICAL JOURNAL D, 2002, 20 (02) :293-296

[5]

BETTELLI S, IN PRESS EUR PHYS D

[6] Electron-electron scattering rate in disordered mesoscopic systems [J].

Blanter, YM .

PHYSICAL REVIEW B, 1996, 54 (18) :12807-12819

[7] Diffusion and localization in chaotic billiards [J].

Borgonovi, F ;

Casati, G ;

Li, BW .

PHYSICAL REVIEW LETTERS, 1996, 77 (23) :4744-4747

[8] Localization in discontinuous quantum systems [J].

Borgonovi, F .

PHYSICAL REVIEW LETTERS, 1998, 80 (21) :4653-4656

[9] Creation of entanglement by interaction with a common heat bath [J].

Braun, D .

PHYSICAL REVIEW LETTERS, 2002, 89 (27) :277901-277901

[10] Characterizing entanglement [J].

Bruss, D .

JOURNAL OF MATHEMATICAL PHYSICS, 2002, 43 (09) :4237-4251

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