Quantum state tomography of qutrits by single-photon counting with imperfect measurements

TL;DR

This paper presents a framework for quantum state tomography of qutrits using photon-counting measurements affected by noise, comparing different measurement schemes to optimize accuracy under realistic conditions.

Contribution

It introduces a novel framework for qutrit state tomography with imperfect measurements and evaluates measurement schemes' efficiency through numerical analysis.

Findings

Measurement schemes differ in efficiency depending on photon count

Reconstruction accuracy decreases with increased noise levels

Optimal measurement strategies depend on experimental noise conditions

Abstract

In this article, we introduce a framework for quantum state tomography of qutrits by projective measurements. The framework is based on photon-counting with measurement results distorted due to the Poisson noise and dark counts. Two different measurement schemes are investigated numerically and compared in terms of their efficiency for distinct numbers of photons per measurement. The accuracy of state reconstruction is quantified by figures of merit which are presented on graphs versus the amount of noise.