Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Systems Science and Complexity

Controllability of Quantum Systems with SU(1, 1) Dynamical Symmetry

Jianwu Wu, Re-Bing Wu, Jing Zhang, Chunwen Li

Published Aug 4, 2020• 4 citations
Publisher
DOI
10.1007/s11424-020-9259-9

Related papers

Optimal control of quantum systems with SU(1, 1) dynamical symmetry

Wen-Bin Dong, Re-Bing Wu, Jianwu Wu +2 more

Control Theory and Technology•Aug 1, 2015•3 citations

Dynamical su q(2) symmetry in nonlinear Quantum Optics

S. M. Chumakov, Ángel Ballesteros Castañeda

•Jan 1, 1999•0 citations

Restricted Controllability for Quantum Systems with Dynamical Symmetries

Walter F. Buell, B. A. Shadwick

APS•May 1, 2002•0 citations

Controllability of Quantum Systems on the Lie Group SU(1,1)

Jianwu Wu, Chunwen Li, Jing Zhang +1 more

This paper examines the controllability for quantum control systems with SU(1,1) dynamical symmetry, namely, the ability to use some electromagnetic field to redirect the quantum system toward a desired evolution. The problem is formalized as the control of a right invariant bilinear system evolving on the Lie group SU(1,1) of two dimensional special pseudo-unitary matrices. It is proved that the elliptic condition of the total Hamiltonian is both sufficient and necessary for the controllability. Conditions are also given for small time local controllability and strong controllability. The results obtained are also valid for the control systems on the Lie groups SO(2,1) and SL(2,R).

arXiv:0708.3147•Aug 23, 2007•0 citations

Controllability of Quantum Systems

Sonia G. Schirmer, I. C. H. Pullen, A. I. Solomon

arXiv:quant-ph/0302121•IFAC Proceedings Volumes•Apr 1, 2003•24 citations

Time Optimal Control for Quantum Systems with SU(1,1) Symmetry

吴建武, 李春文, 张婧

Based on Lie group decomposition,the time optimal control problem is discussed for quantum systems with SU(1,1) symmetry.Minimal time required for realizing a specified evolution operator is calculated for two cases that the control Hamiltonian is elliptical and parabolical.Moreover,an upper bound is provided for the case that the control Hamiltonian is hyperbolical.

Xitong kexue yu shuxue•Aug 25, 2009•0 citations
This paper examines the controllability for quantum control systems with SU(1,1) dynamical symmetry, namely, the ability to use some electromagnetic field to redirect the quantum system toward a desired evolution. The problem is formalized as the control of a right invariant bilinear system evolving on the Lie group SU(1,1) of two dimensional special pseudo-unitary matrices. It is proved that the elliptic condition of the total Hamiltonian is both sufficient and necessary for the controllability. Conditions are also given for small time local controllability and strong controllability. The results obtained are also valid for the control systems on the Lie groups SO(2,1) and SL(2,R).