Subspace controllability of symmetric spin networks

Chen, Jiahui1,2; Zhou, Yehao1,3; Bian, Ji4,5,6; Li, Jun7,8,9; Peng, Xinhua4,5,6

2020-09-03

10.1103/PhysRevA.102.032602

PHYSICAL REVIEW A   影响因子和分区

2469-9926

2469-9934

Controlling the dynamics of quantum systems has been a long-standing goal of quantum physics. To under-stand the controllability of a finite-dimensional quantum system is a fundamental problem in quantum control theory, but can be very challenging in many cases. In particular, results on controllability of open-loop coherently controlled closed quantum systems under symmetry constraints have been elusive. In this paper, we study the controllability of spin systems with some specific symmetry where spins are coupled via Ising interaction and manipulated collectively by a global control field. Based on Lie group and Lie algebra techniques, we find the conditions under which the system is universally controllable in its irreducible subspaces. We believe that the results obtained here will contribute to quantum controlling on symmetric quantum systems.

SCI ; EI

英语

通讯

National Key Research and Development Program of China[2018YFA0306600] ; National Natural Science Foundation of China[11661161018][11927811][11605005][11975117] ; Anhui Initiative in Quantum Information Technologies[AHY050000]

Optics ; Physics

Optics ; Physics, Atomic, Molecular & Chemical

WOS:000568799700004

AMER PHYSICAL SOC

20204209363690

Lie groups ; Quantum optics

Control Systems:731.1 ; Light/Optics:741.1 ; Algebra:921.1 ; Combinatorial Mathematics, Includes Graph Theory, Set Theory:921.4 ; Quantum Theory; Quantum Mechanics:931.4

PHYSICS

Web of Science

1.Univ Waterloo, Dept Phys, Waterloo, ON N2L 3G1, Canada
2.Inst Quantum Comp, Waterloo, ON N2L 3G1, Canada
3.Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada
4.Univ Sci & Technol China, Hefei Natl Lab Phys Sci Microscale, Hefei 230026, Anhui, Peoples R China
5.Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Anhui, Peoples R China
6.Univ Sci & Technol China, Key Lab Microscale Magnet Resonance, Chinese Acad Sci, Hefei 230026, Anhui, Peoples R China
7.Southern Univ Sci & Technol, Shenzhen Inst Quantum Sci & Engn, Shenzhen 518055, Peoples R China
8.Southern Univ Sci & Technol, Dept Phys, Shenzhen 518055, Peoples R China
9.Ctr Quantum Comp, Peng Cheng Lab, Shenzhen 518055, Peoples R China

Chen, Jiahui,Zhou, Yehao,Bian, Ji,et al. Subspace controllability of symmetric spin networks[J]. PHYSICAL REVIEW A,2020,102(3).

Chen, Jiahui,Zhou, Yehao,Bian, Ji,Li, Jun,&Peng, Xinhua.(2020).Subspace controllability of symmetric spin networks.PHYSICAL REVIEW A,102(3).

Chen, Jiahui,et al."Subspace controllability of symmetric spin networks".PHYSICAL REVIEW A 102.3(2020).