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We generalize Holley-Stroock's perturbation argument from commutative to quantum Markov semigroups.
Formulas of differentiation according to a parameter of functions of Hermitian operators
Yu L Daleckii and SG Krein · 1951
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Integration and differentiation of functions of Hermitian operators and applications to the theory of perturbations
Ju L Daletskii and SG Krein · 1965
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Stieltjes Double-Integral Operators
M. Sh. Birman and M. Z. Solomyak · 1967
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Expectations and entropy inequalities for finite quantum systems
Göran Lindblad · 1974
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V Gorini, A Kossakowski, and E C G Sudarshan · 1976
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G. Lindblad · 1976
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Remarques sur l’hypercontractivité et l’évolution de l’entropie pour des chaînes de Markov finies
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Double operator integrals
B De Pagter, H Witvliet, and FA Sukochev · 2002
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Sergey Bobkov and Prasad Tetali · 2003
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Differentiation of operator functions in non-commutative L p {L}_{p} -spaces
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Frank Verstraete, Michael M Wolf, and J Ignacio Cirac · 2009
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Entropy production of doubly stochastic quantum channels
Alexander Müller-Hermes, Daniel Stilck França, and Michael M. Wolf · 2016
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Relative entropy convergence for depolarizing channels
Alexander Müller-Hermes, Daniel Stilck França, and Michael M Wolf · 2016
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Entropy production of doubly stochastic quantum channels
Alexander Müller-Hermes, Daniel Stilck França, and Michael M. Wolf · 2016
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Strong data processing inequalities and p h i phi -Sobolev inequalities for discrete channels
Maxim Raginsky · 2016
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Estimating the decoherence time using non-commutative functional inequalities
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Fisher information and logarithmic Sobolev inequality for matrix valued functions
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