Paolo Gibilisco. Fisher Information and Means: Some Questions in the Classical and Quantum Settings. International Journal of Software and Informatics, 2014,8(3-4):265~276
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Abstract:The algebraic and geometric properties of Fisher information, its relations with the theory of operator means have been very active fields in the last decades. In this paper I try to shed some light on recent results and to address some open questions which could in principle give some new directions to the field.