Quantum Fisher Information andq-Deformed Relative Entropies | Zendy

Hiroshi Hasegawa | Zendy

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Quantum Fisher Information andq-Deformed Relative Entropies

Author(s) -

Hiroshi Hasegawa

Publication year - 2006

Publication title -

progress of theoretical physics supplement

Language(s) - English

Resource type - Journals

ISSN - 0375-9687

DOI - 10.1143/ptps.162.183

Subject(s) - quantum , quantum relative entropy , kullback–leibler divergence , fisher information , mathematics , generalized relative entropy , quantum discord , entropy (arrow of time) , metric (unit) , quantum information , statistical physics , physics , quantum mechanics , statistics , quantum entanglement , operations management , economics

It is shown by way of examples that the quantum correspondent to Fisher information in statistics named quantum information metric is an extensive quantity in spite of the nonextensivity of the quantum q-deformed relative entropy. A general proof is presented, and some related topics on the quantum relative entropies vs the metrics are discussed.

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