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- W2895714162 abstract "We study the entropy production of the sandwiched Rényi divergence under the primitive Lindblad equation with Gel’fand–Naimark–Segal-detailed balance. We prove that the Lindblad equation can be identified as the gradient flow of the sandwiched Rényi divergence of any order α ∈ (0, ∞). This extends a previous result by Carlen and Maas [J. Funct. Anal. 273(5), 1810–1869 (2017)] for the quantum relative entropy (i.e., α = 1). Moreover, we show that the sandwiched Rényi divergence of any order α ∈ (0, ∞) decays exponentially fast under the time evolution of such a Lindblad equation." @default.
- W2895714162 created "2018-10-12" @default.
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- W2895714162 date "2019-05-01" @default.
- W2895714162 modified "2023-10-06" @default.
- W2895714162 title "Gradient flow structure and exponential decay of the sandwiched Rényi divergence for primitive Lindblad equations with GNS-detailed balance" @default.
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- W2895714162 doi "https://doi.org/10.1063/1.5083065" @default.
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