Second-level collapse conjecture for the PPT entanglement-cost hierarchies
Let ρ=ρAB\rho=\rho_{AB}ρ=ρAB be a state. The quantities Eχ,p(ρ)E_{\chi,p}(\rho)Eχ,p(ρ) are the χ\chiχ-quantities defined by the hierarchy at level ppp, and Eκ,p(ρ)E_{\kappa,p}(\rho)Eκ,p(ρ) are the corresponding…