2008/04/16 by Paolo Gibilisco, Gibilisco, Paolo, Tommaso Isola +1
Computer Science · Mathematics · Physics and Astronomy · #46L30 #46L60 (Secondary) #62B10 #94A17 (Primary) #FOS: Mathematics #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Operator Algebras (math.OA) #Quantum Information and Cryptography #Quantum Mechanics and Applications
paper · pdf · doi:10.48550/arxiv.0804.2651
openalex publication_date 2008/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recently Kosaki proved an inequality for matrices that can be seen as a kind of new uncertainty principle. Independently, the same result was proved by Yanagi, Furuichi and Kuriyama. The new bound is given in terms of Wigner-Yanase-Dyson informations. Kosaki himself asked if this inequality can be proved in the setting of von Neumann algebras. In this paper we provide a positive answer to that question and moreover we show how the inequality can be generalized to an arbitrary operator monotone function.