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• W3100594861 startingPage "261" @default.
• W3100594861 abstract "What can one infer about the dynamical evolution of quantum systems just by symmetry considerations? For Markovian dynamics in finite dimensions, we present a simple construction that assigns to each symmetry of the generator a family of scalar functions over quantum states that are monotonic under the time evolution. The aforementioned monotones can be utilized to identify states that are non-reachable from an initial state by the time evolution and include all constraints imposed by conserved quantities, providing a generalization of Noether's theorem for this class of dynamics. As a special case, the generator itself can be considered a symmetry, resulting in non-trivial constraints over the time evolution, even if all conserved quantities trivialize. The construction utilizes tools from quantum information-geometry, mainly the theory of monotone Riemannian metrics. We analyze the prototypical cases of dephasing and Davies generators." @default.
• W3100594861 created "2020-11-23" @default.
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• W3100594861 date "2020-04-30" @default.
• W3100594861 modified "2023-10-14" @default.
• W3100594861 title "Symmetries and monotones in Markovian quantum dynamics" @default.
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• W3100594861 doi "https://doi.org/10.22331/q-2020-04-30-261" @default.
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