A proposal for the optimal estimation of states in Quantum Information Processing

TL;DR

This paper introduces a modified Kalman's Filter-based estimator for quantum states that improves accuracy over traditional measurement methods, enhancing quantum algorithm outputs.

Contribution

It proposes a novel quantum state estimation method using a modified Kalman's Filter, offering higher accuracy than existing measurement techniques.

Findings

More accurate quantum state estimation than weak and strong measurements.

Outperforms quantum state tomography in precision.

Applicable to various quantum algorithms.

Abstract

An optimal estimator of quantum states based on a modified Kalman's Filter is proposed in this work. Such estimator acts after state measurement, allowing obtain an optimal estimation of quantum state resulting in the output of any quantum algorithm. This method is much more accurate than other types of quantum measurements, such as, weak measurement, strong measurement, quantum state tomography, among others.