Some operator monotone functions
classification
🧮 math.OA
math-phmath.MP
keywords
monotonefunctionsoperatorquantumassociatedcalculatecanonicalfind
read the original abstract
We prove that the functions t -> (t^q-1)(t^p-1)^{-1} are operator monotone in the positive half-axis for 0 < p < q < 1, and we calculate the two associated canonical representation formulae. The result is used to find new monotone metrics (quantum Fisher information) on the state space of quantum systems.
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