An Explicit Computation of the Bures Metric Over the Space of $N$-Dimensional Density Matrices

TL;DR

This paper presents a method for explicitly computing the Bures metric on the space of N-dimensional quantum density matrices using coset parametrization.

Contribution

It introduces a novel explicit computation technique for the Bures metric leveraging coset parametrization of density matrices.

Findings

Explicit formula for the Bures metric derived

Method applicable to N-level quantum systems

Facilitates quantum information geometry analysis

Abstract

The aim of this paper is to provide a method for explicit computation of the Bures metric over the space of $N$-level quantum system, based on the coset parametrization of density matrices.