Necessary conditions for entanglement catalysts
Yuval R. Sanders, Gilad Gour · Physical Review A · 2009
Given a pure state transformation $\ensuremath{\psi}\ensuremath{\mapsto}\ensuremath{\phi}$ restricted to entanglement-assisted local operations with classical communication, we determine a lower bound for the dimension of a catalyst allowing that transformation. Our bound is stated in terms of the generalized concurrence monotones (the usual concurrence of two qubits is one such monotone). We further provide tools for deriving further conditions upon catalysts of pure state transformations.