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- W2011080186 abstract "Let M be a von Neumann algebra. We define the noncommutative extension of information geometry by embeddings of M into noncommutative L p -spaces. Using the geometry of uniformly convex Banach spaces and duality of the L p and L q spaces for 1/p +1/q =1, we show that we can introduce the α-divergence, for α∈(-1, 1), in a similar manner as Amari in the classical case. If restricted to the positive cone, the α-divergence belongs to the class of quasi-entropies, defined by Petz." @default.
- W2011080186 created "2016-06-24" @default.
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- W2011080186 date "2005-06-01" @default.
- W2011080186 modified "2023-09-25" @default.
- W2011080186 title "QUANTUM INFORMATION GEOMETRY AND NONCOMMUTATIVE Lp-SPACES" @default.
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- W2011080186 doi "https://doi.org/10.1142/s0219025705001949" @default.
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