Time-optimal control for hybrid systems based on the nitrogen-vacancy center |
| |
Authors: | S Yu N Li P Wei and Z Xi |
| |
Affiliation: | Key Laboratory of Systems and Control, Institute of Systems Science, Academy of Mathematics and Systems Science, CAS, Beijing 100190, China,Key Laboratory of Systems and Control, Institute of Systems Science, Academy of Mathematics and Systems Science, CAS, Beijing 100190, China,Key Laboratory of Systems and Control, Institute of Systems Science, Academy of Mathematics and Systems Science, CAS, Beijing 100190, China and Key Laboratory of Systems and Control, Institute of Systems Science, Academy of Mathematics and Systems Science, CAS, Beijing 100190, China |
| |
Abstract: | Fast and high fidelity quantum control is the key technology of quantum computing. The hybrid system composed of the nitrogen-vacancy center and nearby Carbon-13 nuclear spin is expected to solve this problem. The nitrogen-vacancy center electron spin enables fast operations for its strong coupling to the control field, whereas the nuclear spins preserve the coherence for their weak coupling to the environment. In this paper, we describe a strategy to achieve time-optimal control of the Carbon-13 nuclear spin qubit by alternating controlling the nitrogen-vacancy center electron spin as an actuator. We transform the qubit gate operation into a switched system. By using the maximum principle, we study the minimum time control of the switched system and obtain the time-optimal control of the qubit gate operation. We show that the $X$ gate and $Y$ gate operations are within 10 $\mu$s while the fidelity reaches 0.995. |
| |
Keywords: | Time-optimal control nitrogen-vacancy center qubit gate operations switched system |
本文献已被 SpringerLink 等数据库收录! |
| 点击此处可从《控制理论与应用(英文版)》浏览原始摘要信息 |
|
点击此处可从《控制理论与应用(英文版)》下载全文 |
|