N-qubit states as points on the Bloch sphere

TL;DR

This paper explores how the Majorana representation can visualize pure N-qubit states as points on the Bloch sphere, comparing it with a recent alternative geometric approach.

Contribution

It introduces a method to represent N-qubit states geometrically using the Majorana representation and compares it with a new alternative visualization.

Findings

Majorana representation effectively visualizes N-qubit states

Comparison reveals advantages of the new geometric approach

Provides insights into quantum state geometry

Abstract

We show how the Majorana representation can be used to express the pure states of an N-qubit system as points on the Bloch sphere. We compare this geometrical representation of N-qubit states with an alternative one, proposed recently by the present authors.