Converting Coherence to Quantum Correlations

TL;DR

This paper explores the relationship between quantum coherence and quantum discord, demonstrating how coherence consumption bounds discord creation and analyzing their interplay in quantum state preparation and computation.

Contribution

It establishes a quantitative link between quantum coherence and discord, providing new insights into their interplay in quantum information processing.

Findings

Quantum discord creation is bounded by coherence consumption.

Coherence consumption influences the generation of quantum correlations.

Results apply to multipartite states and quantum computation models.

Abstract

Recent results in quantum information theory characterize quantum coherence in the context of resource theories. Here we study the relation between quantum coherence and quantum discord, a kind of quantum correlation which appears even in non-entangled states. We prove that the creation of quantum discord with multipartite incoherent operations is bounded by the amount of quantum coherence consumed in its subsystems during the process. We show how the interplay between quantum coherence consumption and creation of quantum discord works in the preparation of multipartite quantum correlated states and in the model of deterministic quantum computation with one qubit.