Local Operations in Multiparty Quantum Systems

Abstract

In a multipartite systems, local operations are conducted by one party and the results are communicated to the other parties. Such models have been studied under the framework of LOCC and SLOCC. In this paper, we study when can an action of one party be simulated by another. We obtain necessary and sufficient conditions for when can a unitary action be simulated in a bipartite system. We also show that arbitrary operations can be simulated by any party as long as the given multipartite state is Schmidt decomposable. Moreover, we obtain condition for simulation of local measurements in arbitrary tripartite systems.