Quantum Orlicz Spaces in Information Geometry
نویسندگان
چکیده
منابع مشابه
Quantum Orlicz Spaces in Information Geometry
Let H0 be a selfadjoint operator such that Tr e −βH 0 is of trace class for some β < 1, and let Xǫ denote the set of ǫ-bounded forms, i.e ‖(H0+C) X(H 0 +C)‖ < C for some C > 0. Let X := Span ∪ǫ∈(0,1/2] Xǫ. Let M denote the underlying set of the quantum information manifold of states of the form ρ X = e0X , X ∈ X . We show that if Tr e0 = 1, 1. the map Φ, Φ(X) = 1 2 Tr ( e0 + e0 ) − 1 is a quant...
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ژورنال
عنوان ژورنال: Open Systems & Information Dynamics
سال: 2004
ISSN: 1230-1612,1793-7191
DOI: 10.1007/s11080-004-6626-2