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math-ph2013★ 2 cited
A Gaussian refinement of the Lieb-Robinson bound
Elliott H. Lieb, Anna Vershynina
This paper has been withdrawn by the authors because of an error in the proof. We can, however, prove a weaker spatial fall-off that is still superlinear, namely exp[-x log x].
quant-ph2013
Upper bounds on mixing rates
Elliott H. Lieb, Anna Vershynina
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 uni…