Combined local implementation of nonlocal operations using GHZ states

TL;DR

This paper presents a protocol enabling three parties to implement two consecutive nonlocal quantum operations using a shared GHZ state, demonstrating the resource's sufficiency and necessity for such tasks.

Contribution

It introduces a new protocol for local implementation of nonlocal operations with GHZ states, advancing quantum communication and distributed quantum computation methods.

Findings

Shared GHZ states are sufficient for implementing two consecutive nonlocal operations.

The protocol is proven to be resource-optimal for implementing two consecutive CNOTs.

The method advances understanding of resource requirements in distributed quantum tasks.

Abstract

We propose a protocol for local implementation of two consecutive nonlocal operations by three parters. It consumes one shared GHZ state in this protocol. We also demonstrate that these resources are sufficient and necessary to locally implement two consecutive CNOT operations.