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Schrödinger encounters Fisher and Rao: a survey

04/01/2021

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by Léonard Monsaingeon, et al.

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In this short note we review the dynamical Schrödinger problem on the non-commutative Fisher-Rao space of positive semi-definite matrix-valued measures. The presentation is meant to be self-contained, and we discuss in particular connections with Gaussian optimal transport, entropy, and quantum Fisher information.

Léonard Monsaingeon
2 publications
Dmitry Vorotnikov
1 publication

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