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- W3100470329 abstract "Abstract By extending the concept of energy-constrained diamond norms, we obtain continuity bounds on the dynamics of both closed and open quantum systems in infinite dimensions, which are stronger than previously known bounds. We extensively discuss applications of our theory to quantum speed limits, attenuator and amplifier channels, the quantum Boltzmann equation, and quantum Brownian motion. Next, we obtain explicit log-Lipschitz continuity bounds for entropies of infinite-dimensional quantum systems, and classical capacities of infinite-dimensional quantum channels under energy-constraints. These bounds are determined by the high energy spectrum of the underlying Hamiltonian and can be evaluated using Weyl’s law." @default.
- W3100470329 created "2020-11-23" @default.
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- W3100470329 date "2019-11-01" @default.
- W3100470329 modified "2023-10-18" @default.
- W3100470329 title "Convergence Rates for Quantum Evolution and Entropic Continuity Bounds in Infinite Dimensions" @default.
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- W3100470329 doi "https://doi.org/10.1007/s00220-019-03594-2" @default.
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