2017/09/30 by Davide Girolami · 4 citations
Physics and Astronomy · #physics.data-an #quant-ph
paper · pdf · doi:10.1007/978-3-319-97798-0
published as Springer Proceedings in Mathematics & Statistics, 2018 · Contribution to Information Geometry and Its Applications proceedings
arxiv created 2018/10/05 · arxiv updated 2018/10/08
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.