Incomplete quantum state estimation: a comprehensive study

TL;DR

This paper develops algorithms for quantum state estimation using likelihood and entropy maximization, effectively handling incomplete and imperfect measurement data in both simulated and real experiments.

Contribution

It introduces a comprehensive approach to quantum state estimation that manages incomplete data and measurement imperfections, expanding the applicability of existing methods.

Findings

Successful estimation with incomplete data

Effective handling of measurement imperfections

Validated on simulated and real experimental data

Abstract

We present a detailed account of quantum state estimation by joint maximization of the likelihood and the entropy. After establishing the algorithms for both perfect and imperfect measurements, we apply the procedure to data from simulated and actual experiments. We demonstrate that the realistic situation of incomplete data from imperfect measurements can be handled successfully.