Robust optimal control of two-level quantum systems

被引：59

作者：

Van Damme, L. ^{[1
]}

Ansel, Q. ^{[1
,2
]}

Glaser, S. J. ^{[2
]}

Sugny, D. ^{[1
,3
]}

机构：

[1] Univ Bourgogne Franche Comte, UMR CNRS 6303, Lab Interdisciplinaire Carnot Bourgogne ICB, 9 Ave A Savary,BP 47 870, F-21078 Dijon, France

[2] Tech Univ Munich, Dept Chem, Lichtenbergstr 4, D-85747 Garching, Germany

[3] Tech Univ Munich, Inst Adv Study, Lichtenbergstr 2a, D-85748 Garching, Germany

来源：

PHYSICAL REVIEW A | 2017年 / 95卷 / 06期

关键词：

DYNAMICS; LIMITS;

D O I：

10.1103/PhysRevA.95.063403

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We investigate the time-and energy-minimum optimal solutions for the robust control of two-level quantum systems against offset or control-field uncertainties. Using the Pontryagin maximum principle, we derive the global optimal pulses for the first robustness orders. We show that the dimension of the control landscape is lower than or equal to 2N for a field robust to the Nth order, which leads to an estimate of its complexity.

引用

页数：13

共 50 条

[1] Modeling and Control of Quantum Systems: An Introduction [J].

Altafini, Claudio ;

Ticozzi, Francesco .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (08) :1898-1917

[2] Ensemble Control of Bloch Equations [J].

不详 .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (03) :528-536

[3]

[Anonymous], 1972, Handbook of Mathematical Functions

[4] Simultaneous time-optimal control of the inversion of two spin-1/2 particles [J].

Assemat, E. ;

Lapert, M. ;

Zhang, Y. ;

Braun, M. ;

Glaser, S. J. ;

Sugny, D. .

PHYSICAL REVIEW A, 2010, 82 (01)

[5]

BONNARD B, 2012, AIMS APPL MATH, V5

[6] Time minimal trajectories for a spin 1/2 particle in a magnetic field [J].

Boscain, Ugo ;

Mason, Paolo .

JOURNAL OF MATHEMATICAL PHYSICS, 2006, 47 (06)

[7] Control of quantum phenomena: past, present and future [J].

Brif, Constantin ;

Chakrabarti, Raj ;

Rabitz, Herschel .

NEW JOURNAL OF PHYSICS, 2010, 12

[8]

Brumer P., 2003, Principles and Applications of the Quantum Control of Molecular Processes

[9] Quantum control landscapes [J].

Chakrabarti, Raj ;

Rabitz, Herschel .

INTERNATIONAL REVIEWS IN PHYSICAL CHEMISTRY, 2007, 26 (04) :671-735

[10] Sampling-based learning control of inhomogeneous quantum ensembles [J].

Chen, Chunlin ;

Dong, Daoyi ;

Long, Ruixing ;

Petersen, Ian R. ;

Rabitz, Herschel A. .

PHYSICAL REVIEW A, 2014, 89 (02)

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