Local Operations in Multiparty Quantum Systems

TL;DR

This paper investigates the conditions under which local operations in multipartite quantum systems can be simulated by other parties, providing necessary and sufficient criteria for unitary actions and measurements, especially in Schmidt decomposable states.

Contribution

It introduces new criteria for simulating local actions in multipartite systems, extending understanding of LOCC and SLOCC frameworks.

Findings

Necessary and sufficient conditions for unitary simulation in bipartite systems

Arbitrary operations can be simulated if the state is Schmidt decomposable

Conditions for simulating local measurements in tripartite 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.