An overview of simply pulsed qubits

Abstract

The behavior of simply pulsed qubits (quantum systems with two linearly independent states) may be characterized by the energy difference $ΔE$ between the two states of the qubit and by an external stimulating potential $V(t)$ that causes transitions between them. Thus, the operation of such quantum mechanical systems may be categorized in various regions that explicitly depend on $ΔE$ and $V(t)$. Limiting cases of degenerate, perturbative, and adiabatic regions are discussed. A comprehensive and illustrative map for simply pulsed qubits is presented that can be used as a visual tool for students. Furthermore, analytic solutions may be obtained when the interaction $V(t)$ is proportional to $δ(t-t_k)$, namely when a fast interaction, called a kick, is used.

20 pages, 1 figure