# Converting quantum coherence to genuine multipartite entanglement and nonlocality

## TL;DR

This paper explores how quantum coherence can be transformed into genuine multipartite entanglement and nonlocality, establishing fundamental relations and conversion methods between these quantum properties.

## Contribution

It introduces methods to convert quantum coherence into nonlocality and entanglement, and generalizes these relations from qubits to qudits.

## Key findings

- Coherence of a qubit can be converted to two-qubit nonlocality via incoherent operations
- Relations between single-partite coherence and multipartite entanglement are established
- Generalization of results from qubits to qudits

## Abstract

We study the relations between quantum coherence and quantum nonlocality, genuine quantum entanglement and genuine quantum nonlocality. We show that the coherence of a qubit state can be converted to the nonlocality of two-qubit states via incoherent operations. The results are also generalized to qudit case. Furthermore, rigorous relations between the quantum coherence of a single-partite state and the genuine multipartite quantum entanglement, as well as the genuine three-qubit quantum nonlocality are established.