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Uncertainty and quantum variance at the light of quantum information geometry

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Publication:6138800
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DOI10.1007/s41884-022-00087-5OpenAlexW4311441063MaRDI QIDQ6138800

Paolo Gibilisco

Publication date: 16 January 2024

Published in: Information Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41884-022-00087-5


zbMATH Keywords

quantum Fisher informationquantum covariancemetric adjusted skew informationdynamical uncertainty principle


Mathematics Subject Classification ID

Analysis of variance and covariance (ANOVA) (62J10) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)




Cites Work

  • Unnamed Item
  • How to distinguish quantum covariances using uncertainty relations
  • Quantum versus classical uncertainty
  • On a correspondence between regular and non-regular operator monotone functions
  • Monotone metrics on matrix spaces
  • A Robertson-type uncertainty principle and quantum Fisher information
  • The uncertainty of quantum channels in terms of variance
  • Metric adjusted skew information
  • Uncertainty principle and quantum Fisher information. II.
  • Inequalities for quantum Fisher information
  • Covariance and Fisher information in quantum mechanics
  • Quantum Covariance, Quantum Fisher Information, and the Uncertainty Relations
  • Geometries of quantum states
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