Statistical Estimation of Quantum Tomography Protocols Quality

TL;DR

This paper introduces a new method for evaluating quantum state tomography protocols using asymptotic fidelity distribution and condition number, validated through simulations and experiments.

Contribution

It presents an operational, a-priori estimation technique for protocol quality based on universal asymptotic fidelity and condition number, improving assessment accuracy.

Findings

The method accurately estimates protocol efficiency in simulations.

Experimental results confirm the method's practical applicability.

Better protocols have lower condition numbers and higher fidelity estimates.

Abstract

A novel operational method for estimating the efficiency of quantum state tomography protocols is suggested. It is based on a-priori estimation of the quality of an arbitrary protocol by means of universal asymptotic fidelity distribution and condition number, which takes minimal value for better protocol. We prove the adequacy of the method both with numerical modeling and through the experimental realization of several practically important protocols of quantum state tomography.