Quantum filtering for multiple measurements driven by fields in single-photon states

TL;DR

This paper develops quantum filtering equations for systems driven by single-photon states with noise, using multiple measurement channels to enhance estimation accuracy in quantum systems.

Contribution

It introduces quantum filters based on multiple measurements for single-photon driven systems, addressing noise contamination and improving estimation performance.

Findings

Derived stochastic master equations for single-photon input states with noise

Designed quantum filters for multiple measurement channels

Analyzed diffusive and Poissonian measurement combinations

Abstract

In this paper, we derive the stochastic master equations for quantum systems driven by a single-photon input state which is contaminated by quantum vacuum noise. To improve estimation performance, quantum filters based on multiple-channel measurements are designed. Two cases, namely diffusive plus Poissonian measurements and two diffusive measurements, are considered.