Remote entanglement preparation

TL;DR

This paper presents a novel multipartite communication scheme enabling remote and oblivious preparation of entanglement with fewer resources than traditional methods, and explores its applications in purification and classical communication.

Contribution

It introduces a new protocol for remote entanglement preparation that reduces resource requirements and provides a canonical form for multipartite states.

Findings

Resource requirements are lower than for RSP under local unitaries.

The protocol enables robust entanglement purification for arbitrary pure states.

It can be used for efficient classical information transmission.

Abstract

We introduce a new multipartite communication scheme, with the aim to enable the senders to remotely and obliviously provide the receivers with an arbitrary amount of multipartite entanglement. The scheme is similar to Remote State Preparation (RSP). However, we show that even though the receivers are restricted to local unitary operations, the required resources for remote entanglement preparation are less than for RSP. In order to do so we introduce a novel canonical form of arbitrary multipartite pure states describing an arbitrary number of qubits. Moreover, we show that if the receivers are enabled to perform arbitrary local operations and classical communication, the required resources can drastically be reduced. We employ this protocol to derive robust entanglement purification protocols for arbitrary pure states and show that it can also be used for sending classical information.