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- W2953230149 abstract "We prove upper bounds on the rate, called mixing rate, at which the von Neumann entropy of the expected density operator of a given ensemble of states changes under non-local unitary evolution. For an ensemble consisting of two states, with probabilities of p and 1-p, we prove that the mixing rate is bounded above by 4sqrt{p(1-p)} for any Hamiltonian of norm 1. For a general ensemble of states with probabilities distributed according to a random variable X and individually evolving according to any set of bounded Hamiltonians, we conjecture that the mixing rate is bounded above by a Shannon entropy of a random variable $X$. For this general case we prove an upper bound that is independent of the dimension of the Hilbert space on which states in the ensemble act." @default.
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- W2953230149 date "2013-11-01" @default.
- W2953230149 modified "2023-09-25" @default.
- W2953230149 title "Upper bounds on mixing rates" @default.
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- W2953230149 doi "https://doi.org/10.26421/qic13.11-12-5" @default.
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