arXiv:1401.3195 [quant-ph]AbstractReferencesReviewsResources
Realization of quantum gates by Lyapunov control
S. C. Hou, L. C. Wang, X. X. Yi
Published 2014-01-14Version 1
We propose a Lyapunov control design to achieve specific (or a family of) unitary time-evolution operators, i.e., quantum gates in the Schr\"{o}dinger 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.
Comments: 9 pages, 5 figures. Physics Letters A (2014)
Categories: quant-ph
Keywords: quantum gates, realization, local equivalence class, lyapunov control design, unitary time-evolution operators
Tags: journal article
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