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Recently, a new definition for quantum $f$-divergences was introduced based on an integral representation.
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“ f f -divergence Inequalities”
I. Sason and S. Verdú · 2016
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“On relations between the relative entropy and χ 2 \chi^{2} -divergence, generalizations and applications”
T. Nishiyama and I. Sason · 2020
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“Complete entropic inequalities for quantum Markov chains”
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“Quantum differential privacy: An information theory perspective”
C. Hirche, C. Rouzé, and D. S. França · 2023
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“Sample Complexity of Locally Differentially Private Quantum Hypothesis Testing”
H.-C. Cheng, C. Hirche, and C. Rouzé · 2024
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“Divergence Inequalities with Applications in Ergodic Theory”
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Quantum information processing with finite resources: mathematical foundations
M. Tomamichel · 2015
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“Relative entropy convergence for depolarizing channels”
A. Müller-Hermes, D. Stilck França, and M. M. Wolf · 2016
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I. George, A. Zheng, and A. Bansal · 2024
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“Quantum Rényi and f f -divergences from integral representations”
C. Hirche and M. Tomamichel · 2024
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“Contraction of Private Quantum Channels and Private Quantum Hypothesis Testing”
T. Nuradha and M. M. Wilde · 2024
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