Time optimal control of quantum systems:a homotopic algorithm approach
XUE Shi-bei
WU Re-bing
Abstract：This paper presents a homotopic algorithm for time optimal control of quantum systems in order to avoid large computational burdens when we numerically solve the same problem by using a class of gradient algorithm. By introducing a homotopy variable, our algorithm searches solutions along a direction for decreasing the final time, which is different from existing algorithms. In this algorithm, a freedom function is introduced to construct the gradient of a fidelity with respect to input fields. Also, we adopt a direction function to lead the searching direction of the algorithm so as to speed up the algorithm. We apply it into the time-optimal control of state transitions and unitary gate transformations for two quantum systems. Simulation results show the effectiveness of our algorithm.
Keywords：quantum mechanicsquantum systemstime optimal controlhomotopic algorithmgradient algorithmquantum controlopen loop control
Publication Date：2017-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：6( 1500-1505 )