Invariants of the quantum graph of the partial trace

Abstract

We compute the independence number, zero-error capacity, and the values of the Lovász function and the quantum Lovász function for the quantum graph associated to the partial trace quantum channel ${\mathrm{Tr}}_n\otimes {\mathrm{id}}_k:B({\mathbb{C}}^n\otimes {\mathbb{C}}^k)\to B({\mathbb{C}}^k)$.

6 pages, comments welcome