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论文类型： 期刊论文

发表时间： 2014-02-07

发表刊物： PHYSICS LETTERS A

收录刊物： SCIE、Scopus

卷号： 378

期号： 9

页面范围： 699-704

ISSN号： 0375-9601

关键字： Lyapunov control; Quantum gate; Local equivalence class; CNOT gate

摘要： We propose a Lyapunov control design to achieve specific (or a family of) unitary time-evolution operators, i.e., quantum gates in the Schrodinger picture by tracking control. Two examples are presented. In the first, we illustrate how to realize the Hadamard gate in a single-qubit system, while in the second, the controlled-NOT (CNOT) gate is implemented in two-qubit systems with the Ising and Heisenberg interactions. Furthermore, we demonstrate that the control can drive the time-evolution operator into the local equivalence class of the CNOT gate and the operator keeps in this class forever with the existence of Ising coupling. (C) 2014 Elsevier B.V. All rights reserved.