# Correlated coherence as resource of remote state preparation and quantum teleportation

## TL;DR

This paper demonstrates that quantum correlated coherence, a measure of non-classical correlation, is a necessary and sufficient resource for quantum remote state preparation and teleportation, expanding the understanding of quantum resources.

## Contribution

It introduces quantum correlated coherence as a new quantum resource that independently enables remote state preparation and teleportation.

## Key findings

- Quantum correlated coherence is necessary for remote state preparation.
- Quantum correlated coherence is sufficient for quantum teleportation.
- Separable and classically correlated states can perform QIP using coherence.

## Abstract

Quantum discord and quantum entanglement are resources in some quantum information processing (QIP) models. However, in recent years, the evidence that separable states or classically correlated states can also accomplish QIP is demonstrated. It provides a useful tool since such states are easier to prepare. Quantum coherence is a measure of non-classical correlation, containing entanglement and discord as a subset. Nowadays, it is of interest whether quantum coherence can act as a resource in QIP independently or not, without the help from quantum discord or entanglement. In this paper, we show that quantum correlated coherence(a measure of coherence with local parts removed) is also a kind of quantum resource. It is the sufficient and necessary resource for quantum remote state preparation and quantum teleportation.