Feedback Control of a Quantum Dot

TL;DR

This paper explores the application of feedback control in mesoscopic quantum systems, highlighting the necessity of multiple control parameters to manage fluctuations and improve robustness.

Contribution

It introduces the concept of feedback control in mesoscopic samples and links controllability to continuum percolation, proposing a novel approach for robust quantum device operation.

Findings

Feedback can control mesoscopic fluctuations effectively.

Two control parameters are necessary for robust control.

Controllability relates to continuum percolation theory.

Abstract

Mesoscopic structures are generally operated in an open-loop configuration, whereas most practical electronics including quantum interference devices such as SQUIDs are operated closed-loop, taking advantage of feedback. This paper presents some basic considerations on the use of feedback in mesoscopic samples with universal statistical properties. The controllability of mesoscopic fluctuations is shown to be connected to problems in continuum percolation, leading to the requirement of two control parameters to achieve robust control.