Information Geometry of Quantum Resources

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.

Contribution to Information Geometry and Its Applications proceedings

References in corpus (6)

• Entanglement detection
• Quantum Coherence as a Resource
• Reference frames, superselection rules, and quantum information
• Observable measure of quantum coherence in finite dimensional systems
• Detecting metrologically useful asymmetry and entanglement by a few local measurements
• Quantum Fisher Information as the Convex Roof of Variance

Cited by in corpus (7)

• An elementary introduction to information geometry
• Exact representations of many body interactions with RBM neural networks
• Coherence, entanglement and quantumness in closed and open systems with conserved charge, with an application to many-body localisation
• A unified approach to Local Quantum Uncertainty and Interferometric Power by Metric Adjusted Skew Information
• Complexity as Causal Information Integration
• The Discrete Langevin Machine: Bridging the Gap Between Thermodynamic and Neuromorphic Systems
• Towards sampling complex actions