Modelling and Control of Quantum Measurement Induced Backaction in Double Quantum Dots

TL;DR

This paper models the backaction effects of quantum measurements on double quantum dots and proposes a feedback control method to stabilize tunnelling current, combining theoretical analysis and simulations.

Contribution

It introduces a feedback control law to stabilize tunnelling current in quantum dots, advancing quantum measurement control techniques.

Findings

Feedback control stabilizes tunnelling current rapidly.

Theoretical analysis confirms control law effectiveness.

Numerical simulations demonstrate practical feasibility.

Abstract

Quantum measurements disturb the quantum system being measured, and this is known as measurement-induced backaction. In this work, we consider a double quantum dot monitored by a nearby quantum point contact where the measurement-induced backaction plays an important role. Taking advantage of the quantum master equation approach, we calculate the tunnelling current, and propose a simple feedbackcontrol law to realize and stabilize the tunnelling current. Theoretical analysis and numerical simulations show that the feedback control law can make the current quickly convergent to the desired value.