Quantum hockey stick f-divergences are extended to general von Neumann algebras, with regularized Rényi versions shown to coincide with standard Petz and sandwiched Rényi divergences.
Quantum hypothesis testing and the operational interpretation of the quantum R´ enyi relative entropies.Communications in Mathematical Physics, 334(3):1617–1648, 2015
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Hockey stick $f$-divergences
Quantum hockey stick f-divergences are extended to general von Neumann algebras, with regularized Rényi versions shown to coincide with standard Petz and sandwiched Rényi divergences.