K-moduli of pure states of four qubits

TL;DR

This paper classifies all K-polystable limits of certain divisors in a fourfold product of projective lines, providing an explicit description of a component of the K-moduli space for four-qubit pure states.

Contribution

It explicitly determines the K-polystable limits of divisors in $(P^1)^4$ of degree $(1,1,1,1)$ and describes the corresponding component of the K-moduli space.

Findings

All K-polystable limits of the divisors are found.

An explicit description of the associated irreducible component of the K-moduli space is provided.

The results contribute to understanding the moduli of four-qubit pure states.

Abstract

We find all K-polystable limits of divisors in $(\mathbb{P}^1)^4$ of degree $(1,1,1,1)$ and explicitly describe the associated irreducible component of the K-moduli space.