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An Orbit Tracking Algorithm in Quantum Systems

Authors:
Shuang Cong
Jianxiu Liu

Keywords: -orbit tracking; state transferring; the Lyapunov stability theorem; convergence

Abstract:
A convergence algorithm for the orbit tracking of the free-evolutionary target system in closed quantum system is studied in this paper. The unitary transformation is used to change the problem of orbit tracking into the one of state transferring. The Lyapunov function with a virtual mechanical quantity P is employed to design a Lyapunov–based controller for such a state transferring. The target states are divided into two classes: diagonal and non-diagonal. In the first class, the specific convergent conditions for the target state of diagonal states are studied; in the second class, the target states with non-diagonal superposition states and non-diagonal mixed-states are treated separately by two quite different ways. At last, the system simulation experiments are performed on a two-level quantum system and the tracking process is illustrated on the Bloch sphere.

Pages: 7 to 13

Copyright: Copyright (c) IARIA, 2013

Publication date: May 27, 2013

Published in: conference

ISSN: 2308-3735

ISBN: 978-1-61208-272-1

Location: Valencia, Spain

Dates: from May 27, 2013 to June 1, 2013