Dually flat structures induced from monotone metrics on a two-level quantum state space
Department of Mathematics, Osaka University, 560-0043, Toyonaka, Osaka, Japan
Accepted: 22 October 2020
Published online: 27 October 2020
The notion of dually flatness is of central importance in information geometry. Nevertheless, little is known about dually flat structures on quantum statistical manifolds except that the Bogoliubov metric admits a global dually flat structure on a quantum state space for any . In this paper, we show that every monotone metric on a two-level quantum state space admits a local dually flat structure.
© The Author(s) 2020
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