Title: Information Geometry of Quantum Resources

Journal Article · · Springer Proceedings in Mathematics & Statistics

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. Furthermore, it enables to link measures of coherence and entanglement to observables, which can be evaluated in a laboratory by a limited number of measurements.

Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
LDRD; USDOE
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1484634
Report Number(s):
LA-UR-17-27861
Journal Information:
Springer Proceedings in Mathematics & Statistics, Journal Name: Springer Proceedings in Mathematics & Statistics Vol. 252; ISSN 2194-1009
Publisher:
SpringerCopyright Statement
Country of Publication:
United States
Language:
English

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