Real-time quantum state estimation in circuit QED via Bayesian approach

TL;DR

This paper presents a theoretical study of real-time quantum state estimation in circuit QED using a Bayesian approach, analyzing conditions for accuracy and correlations affecting performance.

Contribution

It advances understanding of quantum Bayesian methods in circuit QED and explores their potential for quantum feedback and adaptive control.

Findings

Identifies conditions for accurate Bayesian state estimation.

Analyzes correlation between circuit parameters and estimation performance.

Provides insights for future quantum feedback control applications.

Abstract

Using a circuit QED device, we present a theoretical study of real-time quantum state estimation via quantum Bayesian approach. Suitable conditions under which the Bayesian approach can accurately update the density matrix of the qubit are analyzed. We also consider the correlation between some basic and physically meaningful parameters of the circuit QED and the performance of the Bayesian approach. Our results advance the understanding of quantum Bayesian approach and pave the way to study quantum feedback control and adaptive control.