A non-convex asymptotic quantum Horn body

TL;DR

This paper demonstrates that asymptotic quantum Horn bodies, which are important in quantum information theory, do not always exhibit convexity, challenging previous assumptions in the field.

Contribution

It provides the first counterexample showing non-convexity of asymptotic quantum Horn bodies, highlighting limitations of existing convexity conjectures.

Findings

Asymptotic quantum Horn bodies are not convex in general.

Counterexample disproves convexity assumption.

Challenges previous beliefs in quantum information theory.

Abstract

We prove by a counterexample that asymptotic quantum Horn bodies are not convex in general.