Quantum tomography of three-qubit generalized Werner states

TL;DR

This paper presents a numerical framework for quantum tomography and entanglement quantification of three-qubit generalized Werner states, utilizing SIC-POVM measurements and analyzing the impact of Poisson noise on estimation precision.

Contribution

It introduces a novel numerical scheme for quantum state tomography of three-qubit states using SIC-POVMs and assesses its robustness under Poisson noise.

Findings

The framework effectively reconstructs three-qubit states.

Poisson noise impacts the precision of state estimation.

Comparison shows efficiency differences between states.

Abstract

In this article, we introduce a numerical framework for quantum tomography and entanglement quantification of three-qubit generalized Werner states. The scheme involves the single-qubit SIC-POVM, which is then generalized to perform three-qubit measurements. We introduce random errors into the scheme by imposing the Poisson noise on the measured photon counts. The precision of state estimation is quantified and presented on graphs. As a special case, we compare the efficiency of the framework for the pure three-qubit generalized Werner state and the W state. The reconstructed states are presented graphically and discussed.