Realization of quantum gates by Lyapunov control

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.

9 pages, 5 figures. Physics Letters A (2014)

References in corpus (3)

• 'Designer atoms' for quantum metrology
• Entanglement generation between distant atoms by Lyapunov control
• Quantum information and randomness

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