Information Geometry of Quantum Resources

TL;DR

This paper reviews how information geometry provides a powerful framework to understand, quantify, and experimentally access quantum coherence and entanglement, which are essential resources for quantum computing and communication.

Contribution

It highlights recent developments showing the utility of information geometry in characterizing quantum resources and connecting them to measurable observables.

Findings

Information geometry clarifies quantum superposition advantages in phase estimation.

It links measures of coherence and entanglement to laboratory observables.

Quantum resources can be quantified with limited measurements.

Abstract

I review recent works showing that information geometry is a useful framework to characterize quantum coherence and entanglement. Quantum systems exhibit peculiar properties which cannot be justified by classical physics, e.g. quantum coherence and quantum correlations. Once confined to thought experiments, they are nowadays created and manipulated by exerting an exquisite experimental control of atoms, molecules and photons. It is important to identify and quantify such quantum features, as they are deemed to be key resources to achieve supraclassical performances in computation and communication protocols. The information geometry viewpoint elucidates the advantage provided by quantum superpositions in phase estimation. Also, it enables to link measures of coherence and entanglement to observables, which can be evaluated in a laboratory by a limited number of measurements.