Quantum measurement brings a stochastic term to deterministic open quantum systems, which makes the systems display some unique characteristics distinguished from the Markovian and non-Markovian open quantum systems. These characteristics bring some new roles to and effect on the stochastic open quantum system. Based on the related work on the global stability for stochastic open quantum systems via Lyapunov stabilization theorem established recently, the characteristic analysis without control fields and the state transfer with the switching control and continuous control are studied, respectively. Numerical simulation experiments are implemented under the Matlab environment. The simulation results demonstrate that the system without the action of the control will randomly converge to some eigenstate of the measurement operator and the numbers of eigenstates and diagonal non-zero elements of the initial state's density matrix are equal, and that under the action of the control, the stochastic open quantum system can transfer the state from an arbitrary initial pure state to the desired target eigenstate.However, compared to the switching control, the continuous control system performance has a faster convergence speed and a shorter transfer time.
CONG Shuang
,
HU Longzhen
,
XUE Jingjing
,
WEN Jie
. Characteristic Analysis of Stochastic Open Quantum Systems via Lyapunov-based Control[J]. Science & Technology Review, 2014
, 32(22)
: 15
-22
.
DOI: 10.3981/j.issn.1000-7857.2014.22.001
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