Abstract

Recently, local copying, which is the study of possibility of copying of entangled states with the LOCC restriction and minimal entanglement resource, was proposed as a new problem of non-local property of composite systems beyond the theory of entanglement convertibility. In this paper, we completely characterize deterministic local copying for orthogonal sets of maximally entangled states in prime dimensional systems. As a result, we show that local copying is strictly more difficult than local discrimination at least in prime dimensional systems.