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Controllability of Quantum Systems with SU(1, 1) Dynamical Symmetry |
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| Authors: | Wu Jianwu Wu Rebing Zhang Jing Li Chunwen |
| Institution: | 1.Beijing Aerospace Automatic Control Institute, Beijing, 100854, China ;2.Department of Automation, Tsinghua University, Beijing, 100084, China ;3.Center for Quantum Information Science and Technology, BNRist, Beijing, 100084, China ; |
| Abstract: | This paper presents sufficient and necessary conditions for the propagator controllability of a class of infinite-dimensional quantum systems with SU(1, 1) dynamical symmetry through the isomorphic mapping to the non-unitary representation of SU(1, 1). The authors prove that the elliptic condition of the total Hamiltonian is both necessary and sufficient for the controllability and strong controllability. The obtained results can be also extended to control systems with SO(2, 1) dynamical symmetry. |
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