Realization of quantum gates by Lyapunov control |
| |
Authors: | S.C. Hou L.C. Wang X.X. Yi |
| |
Affiliation: | School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China |
| |
Abstract: | We propose a Lyapunov control design to achieve specific (or a family of) unitary time-evolution operators, i.e., quantum gates in the Schrödinger 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. |
| |
Keywords: | Lyapunov control Quantum gate Local equivalence class CNOT gate |
本文献已被 ScienceDirect 等数据库收录! |
|