2010/09/27 by Paolo Facchi, Ravi Kulkarni, V.I. Man'ko +8 · 3 citations
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Applications #Statistical Mechanics and Entropy #quant-ph
paper · pdf · doi:10.1016/j.physleta.2010.10.005
published as Physics Letters A 374 (2010) 4801 · 8 pages
arxiv created 2010/09/27 · openalex publication_date 2010/10/09 · crossref created 2010/10/09 · crossref issued 2010/11/01 · crossref published 2010/11/01 · crossref published-print 2010/11/01 · arxiv updated 2010/11/29 · crossref deposited 2018/12/07 · openalex created_date 2025/10/10 · crossref indexed 2026/06/27 · openalex updated_date 2026/07/28
The tomographic picture of quantum mechanics has brought the description of quantum states closer to that of classical probability and statistics. On the other hand, the geometrical formulation of quantum mechanics introduces a metric tensor and a symplectic tensor (Hermitian tensor) on the space of pure states. By putting these two aspects together, we show that the Fisher information metric, both classical and quantum, can be described by means of the Hermitian tensor on the manifold of pure states.