Rapid Lyapunov control for decoherence-free subspaces of Markovian open quantum systems |
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Authors: | Mengxi Chen Sen Kuang Shuang Cong |
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Institution: | 1. CAS Key Laboratory of Technology in Geo-spatial Information Processing and Application System, University of Science and Technology of China, Hefei 230027, China;2. Department of Automation, University of Science and Technology of China, Hefei 230027, China |
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Abstract: | 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. |
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Keywords: | Corresponding author at: Department of Automation University of Science and Technology of China Hefei 230027 China |
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