Lyapunov control on quantum systems

Author:

Wang L. C.12,Yi X. X.1

Affiliation:

1. Center for Quantum Sciences and School of Physics, Northeast Normal University, Changchun 130024, P. R. China

2. School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, P. R. China

Abstract

We review the scheme of quantum Lyapunov control and its applications into quantum systems. After a brief review on the general method of quantum Lyapunov control in closed and open quantum systems, we apply it into controlling quantum states and quantum operations. The control of a spin-1/2 quantum system, driving an open quantum system into its decoherence free subspace (DFS), constructing single qubit and two-qubit logic gates are taken to illustrate the scheme. The optimalization of the Lyapunov control is also reviewed in this article.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Quantum Switch Realization by the Quantum Lyapunov Control;Computer Networks;2019

2. Horizons of cybernetical physics;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2017-03-06

3. Rapid Lyapunov control for decoherence-free subspaces of Markovian open quantum systems;Journal of the Franklin Institute;2017-01

4. Implicit Lyapunov-based control strategy for closed quantum systems with dipole and polarizability coupling;International Journal of Robust and Nonlinear Control;2017

5. Geometric phase of two-qubit system in dephasing environment;International Journal of Modern Physics B;2015-12-17

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