Computer Science ›› 2013, Vol. 40 ›› Issue (12): 251-253.

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Optimal Tracking Control of Population Transfer in Open Quantum Systems

HUANG Ze-xia,HUANG De-cai and YU You-hong   

  • Online:2018-11-16 Published:2018-11-16

Abstract: In order to controll the open quantum systems with dissipation,we simplified the process of treating with the dynamics of open quantum systems using Liouville superoperator form.For this system,we proposed an efficient,monotonical convergent optimal tracking control method according to a special performance indicator which was designed based on the optimal control theory and the time-dependent density.This method can drive the time-dependent density along a given time-dependent trajectory in real space and control the time-dependent occupation numbers.We simulated the control process in MATLAB,and analyzed the influence of different penalty factors on system performance.

Key words: Liouville superoperator,Open quantum system,Optimal tracking control

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