Optimal bounds on state transfer under quantum channels with application to spin system engineering

Zheng, Wenqiang1; Wang, Hengyan2; Xin, Tao3,4,5,6; Nie, Xinfang3,4; Lu, Dawei3,4,5,6; Li, Jun3,4,5,6

2019-08-12

10.1103/PhysRevA.100.022313

PHYSICAL REVIEW A   影响因子和分区

2469-9926

2469-9934

Modern applications of quantum control in quantum information science and technology require the precise characterization of quantum states and quantum channels. In particular, high-performance quantum state engineering often demands that quantum states are transferred with optimal efficiency via realizable controlled evolution, the latter often modeled by quantum channels. When an appropriate quantum control model for an interested system is constructed, the exploration of optimal bounds on state transfer for the underlying quantum channel is then an important task. In this work, we analyze the state transfer efficiency problem for different classes of quantum channels, including unitary, mixed unitary, and Markovian. We then apply the theory to nuclear magnetic resonance (NMR) experiments. We show that two most commonly used control techniques in NMR, namely gradient field control and phase cycling, can be described by mixed unitary channels. Then we show that employing mixed unitary channels does not extend the unitarily accessible region of states. Also, we present a strategy of optimal experiment design, which incorporates coherent radio-frequency field control, gradient field control, and phase cycling, aiming at maximizing state transfer efficiency and meanwhile minimizing the number of experiments required. Finally, we perform pseudopure state preparation experiments on two- and three-spin systems, in order to test the bound theory and to demonstrate the usefulness of nonunitary control means.

SCI ; EI

英语

通讯

Zhejiang Provincial Natural Science Foundation of China[LQ19A050001]

Optics ; Physics

Optics ; Physics, Atomic, Molecular & Chemical

WOS:000480387400007

AMER PHYSICAL SOC

20193407340789

Control theory ; Efficiency ; Nuclear magnetic resonance ; Quantum channel ; Quantum communication ; Quantum entanglement ; Quantum optics ; Spin dynamics

Telecommunication; Radar, Radio and Television:716 ; Information Theory and Signal Processing:716.1 ; Control Systems:731.1 ; Production Engineering:913.1 ; Atomic and Molecular Physics:931.3 ; Quantum Theory; Quantum Mechanics:931.4

PHYSICS

Web of Science

1.Zhejiang Univ Technol, Coll Sci, Collaborat Innovat Ctr Biomed Phys Informat Techn, Hangzhou 310023, Zhejiang, Peoples R China
2.Zhejiang Univ Sci & Technol, Dept Phys, Hangzhou 310023, Zhejiang, Peoples R China
3.Southern Univ Sci & Technol, Shenzhen Inst Quantum Sci & Engn, Shenzhen 518055, Peoples R China
4.Southern Univ Sci & Technol, Dept Phys, Shenzhen 518055, Peoples R China
5.Ctr Quantum Comp, Peng Cheng Lab, Shenzhen 518055, Peoples R China
6.Southern Univ Sci & Technol, Shenzhen Key Lab Quantum Sci & Engn, Shenzhen 518055, Peoples R China

Zheng, Wenqiang,Wang, Hengyan,Xin, Tao,et al. Optimal bounds on state transfer under quantum channels with application to spin system engineering[J]. PHYSICAL REVIEW A,2019,100(2).

Zheng, Wenqiang,Wang, Hengyan,Xin, Tao,Nie, Xinfang,Lu, Dawei,&Li, Jun.(2019).Optimal bounds on state transfer under quantum channels with application to spin system engineering.PHYSICAL REVIEW A,100(2).

Zheng, Wenqiang,et al."Optimal bounds on state transfer under quantum channels with application to spin system engineering".PHYSICAL REVIEW A 100.2(2019).