Bimodule KMS symmetric quantum Markov semigroups admit directional matrices that yield a gradient flow structure and the associated modified logarithmic Sobolev and Talagrand inequalities.
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The authors investigate intertwining properties for bimodule GNS- and KMS-symmetric quantum Markov semigroups, compare them to Bakry-Émery estimates obtained from quantum Fourier analysis, and supply examples.
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Bimodule KMS Symmetric Quantum Markov Semigroups and Gradient Flows
Bimodule KMS symmetric quantum Markov semigroups admit directional matrices that yield a gradient flow structure and the associated modified logarithmic Sobolev and Talagrand inequalities.
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Intertwining Properties for Bimodule Quantum Markov Semigroups
The authors investigate intertwining properties for bimodule GNS- and KMS-symmetric quantum Markov semigroups, compare them to Bakry-Émery estimates obtained from quantum Fourier analysis, and supply examples.