Universal dynamical decoupling from slow noise with minimal control

被引：9

作者：

Bensky, G. ^{[1
]}

Brion, E. ^{[2
]}

Carlier, F. ^{[2
]}

Akulin, V. M. ^{[2
]}

Kurizki, G. ^{[1
]}

机构：

[1] Weizmann Inst Sci, Dept Chem Phys, IL-76100 Rehovot, Israel

[2] CNRS, Aime Cotton Lab, F-91405 Orsay, France

来源：

EPL | 2010年 / 89卷 / 01期

关键词：

QUANTUM-SYSTEMS; DECOHERENCE; PULSES; QUBIT;

D O I：

10.1209/0295-5075/89/10011

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose a technique that allows to simultaneously perform universal control of the evolution operator of a system and compensate for the first-order contribution of any Hermitian constant noise and the action of the environment. We show that, at least, a three-valued Hamiltonian is needed in order to protect the system against any such noise and propose an explicit algorithm for finding an appropriate control sequence. This algorithm is applied to numerically design a safe gate in an atomic qutrit. Copyright (C) EPLA, 2010

引用

页数：6

共 52 条

[1]

Agarwal G S., 1999, Phys. Rev. A, V61, DOI DOI 10.1103/PHYSREVA.61.013809

[2] Optimal strategy for a single-qubit gate and the trade-off between opposite types of decoherence [J].

Alicki, R ;

Horodecki, M ;

Horodecki, P ;

Horodecki, R ;

Jacak, L ;

Machnikowski, P .

PHYSICAL REVIEW A, 2004, 70 (01) :010501-1

[3] Arbitrary precision composite pulses for NMR quantum computing [J].

Alway, William G. ;

Jones, Jonathan A. .

JOURNAL OF MAGNETIC RESONANCE, 2007, 189 (01) :114-120

[4] Universal fault-tolerant quantum computation on decoherence-free subspaces [J].

Bacon, D ;

Kempe, J ;

Lidar, DA ;

Whaley, KB .

PHYSICAL REVIEW LETTERS, 2000, 85 (08) :1758-1761

[5] Coherence protection by the quantum Zeno effect and nonholonomic control in a Rydberg rubidium isotope -: art. no. 052311 [J].

Brion, E ;

Akulin, VM ;

Comparat, D ;

Dumer, I ;

Harel, G ;

Kébaili, N ;

Kurizki, G ;

Mazets, I ;

Pillet, P .

PHYSICAL REVIEW A, 2005, 71 (05)

[6] Coherence protection by the Zeno effect [J].

Brion, E ;

Harel, G ;

Kebaili, N ;

Akulin, VM ;

Dumer, I .

EUROPHYSICS LETTERS, 2004, 66 (02) :157-163

[7] Arbitrarily accurate composite pulse sequences [J].

Brown, KR ;

Harrow, AW ;

Chuang, IL .

PHYSICAL REVIEW A, 2004, 70 (05) :052318-1

[8]

Butkovskiy A. G., 1990, Control of Quantum-Mechanical Processes and Systems, DOI [10.1007/978-94-009-1994-5, DOI 10.1007/978-94-009-1994-5]

[9] Good quantum error-correcting codes exist [J].

Calderbank, AR ;

Shor, PW .

PHYSICAL REVIEW A, 1996, 54 (02) :1098-1105

[10]

DAlessandro D., 2008, Introduction to Quantum Control and Dynamics

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