Quantum covariance, quantum Fisher information and the uncertainty principle

2007/12/07 by Paolo Gibilisco, Gibilisco, Paolo, Fumio Hiai +4 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Information and Cryptography #Quantum Mechanics and Applications #Statistical Mechanics and Entropy #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.0712.1208

arxiv created 2007/12/07 · openalex publication_date 2007/12/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper the relation between quantum covariances and quantum Fisher informations are studied. This study is applied to generalize a recently proved uncertainty relation based on quantum Fisher information. The proof given hereconsiderably simplifies the previously proposed proofs and leads to more general inequalities.

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