Charge qubit rotations in a double-dot nanostructure

TL;DR

This paper theoretically investigates how to perform one-qubit rotations on a charge qubit in a double-dot nanostructure using microwave pulses, providing explicit formulas and pulse parameters.

Contribution

It introduces a method for executing one-qubit rotations in a double-dot charge qubit system with explicit analytic solutions and pulse parameter determination.

Findings

One-qubit rotations are feasible with microwave pulses.

Explicit analytic expressions for electron state evolution are derived.

Pulse parameters for controlled rotations are identified.

Abstract

Quantum operations with a charge solid-state qubit whose logical states are formed by two spatially separated localized states of an electron in the double-dot structure are studied theoretically. We show that it is possible to perform various one-qubit rotations making use of the microwave pulses tuned to the resonances between the localized states and the excited state delocalized over the nanostructure. Explicit analytic expression for the time-dependent electron state vector is derived, and the appropriate pulse parameters are determined.