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Hamiltonian-induced error-channel control for Lyapunov quantum state transfer

Anonymous, Xun Lang, Jiande Wu

Physical Review AOct 9, 20260 citations

Rapid Lyapunov control for decoherence-free subspaces of Markovian open quantum systems

Mengxi Chen, Sen Kuang, Shuang Cong

Journal of the Franklin InstituteOct 19, 201621 citations

Rapid quantum state transfer based on bang–bang Lyapunov control under various dissipative modes

Yinghua Ji, Juju Hu, Qiang Ke +1 more

OptikApr 3, 20179 citations

Preparing entangled states by Lyapunov control

Z. C. Shi, L. C. Wang, X. X. Yi

Quantum Information ProcessingSep 20, 201610 citations

State transfer based on decoherence-free target state by Lyapunov-based control

Jie Jie, Yang, Shuang +1 more

我们基于 decoherence 免费的目标状态为州的转移建议一条基于 Lyapunov 的控制途径。期望的目标状态被构造由一块外部激光地是在 decoherence 免费的 subspace (DFS ) 的一个 decoherence 免费的状态我以便系统状态能是从环境，和没有更多的 decoherence 过程的 decoupled 将发生。与 decoherence 免费的目标状态，我们设计基于 Lyapunov 的控制域尽可能完全驾驶给定的起始的状态到开的量系统的 decoherence 免费的状态的 II，和 decouple 从环境的系统状态同时。最后，设计的州的转移控制在一种类型上实现，这被验证没有联合到环境，四水平的原子系统，和系统能在 decoherence 免费的目标状态上留下来。我们基于 decoherence 免费的目标状态为州的转移建议一条基于 Lyapunov 的控制途径。期望的目标状态被构造由一块外部激光地是在 decoherence 免费的 subspace (DFS ) 的一个 decoherence 免费的状态我以便系统状态能是从环境，和没有更多的 decoherence 过程的 decoupled 将发生。与 decoherence 免费的目标状态，我们设计基于 Lyapunov 的控制域尽可能完全驾驶给定的起始的状态到开的量系统的 decoherence 免费的状态的 II，和 decouple 从环境的系统状态同时。最后，设计的州的转移控制在一种类型上实现，这被验证没有联合到环境，四水平的原子系统，和系统能在 decoherence 免费的目标状态上留下来。

Journal of Control Theory and ApplicationsJan 1, 20120 citations

CONVERGENCE OF STATE CONTROL OF OPEN QUANTUM SYSTEM IN DECOHERENCE-FREE SUBSPACES

Fei Yang

A convergent state control strategy of open quantum system based on Lyapunov method is proposed for the target state being a pure state in decoherence-free subspaces. Based on the assumptions of all the transition frequencies being different and all the levels being directly coupled,a sufficient condition is proposed for the observation operator to make that the largest invariant set only contains target state.On the basis of choosing the average of observable operators as a Lyapunov function,the control laws are designed in interaction picture and the largest invariant set of the controlled system is analyzed via Barbalat's Lemma. It is shown that any pure target state in decoherence-free subspace is globally asymptotic stable under the sufficient condition given,and the system controlled could be transferred to target state from arbitrary initial state.Also,a method is provided to construct the observation operator via Schmidt orthogonalization.Numerical experiments on a three-level system verify the validity of the proposed control strategy.A convergent state control strategy of open quantum system based on Lyapunov method is proposed for the target state being a pure state in decoherence-free subspaces. Based on the assumptions of all the transition frequencies being different and all the levels being directly coupled,a sufficient condition is proposed for the observation operator to make that the largest invariant set only contains target state.On the basis of choosing the average of observable operators as a Lyapunov function,the control laws are designed in interaction picture and the largest invariant set of the controlled system is analyzed via Barbalat's Lemma. It is shown that any pure target state in decoherence-free subspace is globally asymptotic stable under the sufficient condition given,and the system controlled could be transferred to target state from arbitrary initial state.Also,a method is provided to construct the observation operator via Schmidt orthogonalization.Numerical experiments on a three-level system verify the validity of the proposed control strategy.

Xitong kexue yu shuxueJan 1, 20110 citations

State transfer based on decoherence-free target state by Lyapunov-based control

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