Quantum State Tomography of Four-Level Systems with Noisy Measurements

Abstract

In this article, we investigate the problem of state reconstruction of four-level quantum systems. A realistic scenario is considered with measurement results distorted by random unitary operators. Two frames which define injective measurements are applied and compared. By introducing arbitrary rotations, we can test the performance of the framework versus the amount of experimental noise. The results of numerical simulations are depicted on graphs and discussed. In particular, a class of entangled states is reconstructed. The concurrence is used as a figure of merit in order to quantify how well entanglement is preserved through noisy measurements.

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

“…In our approach, we focus on projective measurements on photons which are disturbed by dark counts and the Poisson noise. Similar trials were considered on qubits [18] and ququads [19]. The main goal of this work is to compare two sets of measurements, i.e.…”