Parameter estimation with efficient photodetectors

TL;DR

This paper demonstrates that perfect photodetectors enable Heisenberg-limited scaling in parameter estimation, surpassing traditional methods reliant on averaged statistics from low-brightness detectors.

Contribution

It shows that perfect photodetection theoretically achieves Heisenberg scaling, providing a new perspective on quantum sensing efficiency.

Findings

Perfect photodetection implies Heisenberg scaling ($1/T$) for parameter estimation.

Analysis of a specific example illustrating the scaling advantage.

Highlights potential for improved sensing algorithms with ideal detectors.

Abstract

Current parameter estimation techniques rely on photodetectors which have low brightness and thus are based on gathering averaged statistics. Recently it was claimed that perfect photodetction will change the nature of sensing algorithms and will increase sensing efficiency beyond the immediate effect of having larger collection efficiency. In this paper we bring up the observation that perfect photodetection implies Heisenberg scaling($\frac{1}{T}$) for parameter estimations. We analyze a specific example in detail.