Time-optimal control of two-level quantum systems by piecewise constant pulses

被引：8
作者：
Dionis, E. [1 ]
Sugny, D. [1 ]
机构：
[1] Univ Bourgogne, Lab Interdisciplinaire Carnot Bourgogne ICB, UMR 6303, CNRS, 9 Ave A Savary,BP 47 870, F-21078 Dijon, France
来源：
PHYSICAL REVIEW A | 2023年 / 107卷 / 03期
关键词：
SAMPLED-DATA CONTROL; BROAD-BAND EXCITATION; INVERSION; LIMITS; FINITE;
D O I：
10.1103/PhysRevA.107.032613
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We apply an extension of the Pontryagin maximum principle to derive time-optimal controls of two-level quantum systems by means of piecewise constant pulses. Global optimal solutions are obtained for state-to-state transfer in the cases with one and two controls. Exact quantum speed limits are established as a function of the sampling period. We observe numerically an exponential convergence towards the minimum time in the continuous limit when this period goes to zero. We show that this convergence is only polynomial for a linearized quantum system. We discuss the experimental impact of this result.
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页数：12
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