Few-body entanglement manipulation

TL;DR

This paper reviews the concept of maximally entangled sets in multipartite quantum states and discusses methods for deterministic preparation of arbitrary states using LOCC with specific resource states.

Contribution

It introduces the maximally entangled set for multipartite states and explores deterministic LOCC protocols for preparing arbitrary three- and four-qubit states.

Findings

Maximally entangled set characterizes most useful states for LOCC transformations.

Deterministic preparation of arbitrary three-qubit states from six-qubit resources.

Deterministic preparation of arbitrary four-qubit states from 23-qubit resources.

Abstract

In order to cope with the fact that there exists no single maximally entangled state (up to local unitaries) in the multipartite setting, we introduced in [J. I. de Vicente, C. Spee and B. Kraus, Phys. Rev. Lett. 111, 110502 (2013)] the maximally entangled set of n-partite quantum states. This set consists of the states that are most useful under conversion of pure states via Local Operations assisted by Classical Communication (LOCC). We will review our results here on the maximally entangled set of three- and generic four-qubit states. Moreover, we will discuss the preparation of arbitrary (pure or mixed) states via deterministic LOCC transformations. In particular, we will consider the deterministic preparation of arbitrary three-qubit (four-qubit) states via LOCC using as a resource a six-qubit (23-qubit) state respectively.