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Title: 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. 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.

Authors:
ORCiD logo [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1484634
Report Number(s):
LA-UR-17-27861
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Springer Proceedings in Mathematics & Statistics
Additional Journal Information:
Journal Volume: 252
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; Mathematics; quantum information; quantum coherence; quantum correlations; quantum metrology

Citation Formats

Girolami, Davide. Information Geometry of Quantum Resources. United States: N. p., 2018. Web. doi:10.1007/978-3-319-97798-0_17.
Girolami, Davide. Information Geometry of Quantum Resources. United States. doi:10.1007/978-3-319-97798-0_17.
Girolami, Davide. Sun . "Information Geometry of Quantum Resources". United States. doi:10.1007/978-3-319-97798-0_17.
@article{osti_1484634,
title = {Information Geometry of Quantum Resources},
author = {Girolami, Davide},
abstractNote = {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.},
doi = {10.1007/978-3-319-97798-0_17},
journal = {Springer Proceedings in Mathematics & Statistics},
number = ,
volume = 252,
place = {United States},
year = {2018},
month = {11}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on November 4, 2019
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