Quantum State Tomography of Four-Level Systems with Noisy Measurements

TL;DR

This paper explores quantum state tomography for four-level systems under noisy measurement conditions, comparing measurement frames and assessing entanglement preservation using concurrence through numerical simulations.

Contribution

It introduces a framework for reconstructing four-level quantum states with noisy measurements and evaluates its performance using entanglement metrics.

Findings

Injective measurement frames are effective in noisy scenarios

Entanglement can be reliably reconstructed despite measurement noise

Numerical simulations demonstrate the framework's robustness

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.