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• W3099380057 abstract "We develop a notion of dephasing under the action of a quantum Markov semigroup in terms of convergence of operators to a block-diagonal form determined by irreducible invariant subspaces. If the latter are all one-dimensional, we say the dephasing is maximal. With this definition, we show that a key necessary requirement on the Lindblad generator is bistochasticity, and focus on characterizing whether a maximally dephasing evolution may be described in terms of a unitary dilation with only classical noise, as opposed to a genuine non-commutative Hudson-Parthasarathy dilation. To this end, we make use of a seminal result of K{u}mmerer and Maassen on the class of commutative dilations of quantum Markov semigroups. In particular, we introduce an intrinsic quantity constructed from the generator, which vanishes if and only if the latter admits a self-adjoint representation and which quantifies the degree of obstruction to having a classical diffusive noise model." @default.
• W3099380057 created "2020-11-23" @default.
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• W3099380057 date "2019-08-27" @default.
• W3099380057 modified "2023-10-16" @default.
• W3099380057 title "Mathematical models of Markovian dephasing" @default.
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• W3099380057 doi "https://doi.org/10.1088/1751-8121/ab38ec" @default.
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