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

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• 作者：Mengxi Chen^a ; ^b ; ^{chenmx@mail.ustc.edu.cn} ; Sen Kuang^a ; ^b ; ^{skuang@ustc.edu.cn} ; Shuang Cong^b ; ^{scong@ustc.edu.cn}
• 刊名：Journal of the Franklin Institute
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：354
• 期：1
• 页码：439-455
• 全文大小：571 K
• 卷排序：354

文摘

A Lyapunov-based rapid control scheme is proposed to drive a Markovian open quantum system to a decoherence-free subspace by constructing the control Hamiltonians of the system. Based on Lyapunov theory, we design a general form of control laws, which includes the standard Lyapunov control law. The convergence of the control system to the decoherence-free subspace is strictly proved. By analyzing the relationship between the LaSalle invariant set and the decoherence-free subspace, we propose a construction method for the control Hamiltonians to further speed up the control process. Simulation experiments on a three-level quantum system demonstrate that the rapid Lyapunov control scheme proposed in this paper has a good control performance.