2005/09/21 by P. Gibilisco, Gibilisco, P., T. Isola +1
Decision Sciences · Economics, Econometrics and Finance · #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Risk and Portfolio Optimization #Statistics Theory (math.ST) #Stochastic processes and financial applications
paper · pdf · doi:10.48550/arxiv.math-ph/0509046
openalex publication_date 2005/09/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that an inequality recently proved by Kosaki and Yanagi-Furuichi-Kuriyama [arXiv:quant-ph/0501152] has a natural geometric interpretation in terms of monotone metrics associated to Wigner-Yanase-Dyson information. Moreover we give a counterexample showing that the inequality does not hold for every monotone metric of this type.