Rice University Department of Mathematics Colloquium

Entanglement Rates in Quantum Systems

4:00 pm Thursday, October 12, 2017
Anna Vershynina (University of Houston)

Abstract: We investigate the maximal rate at which entanglement can be generated in quantum systems. The goal is to upper bound this rate. I will quickly review the problem in closed systems, and provide a simple proof of one of the upper bounds. In an open system the generator of irreversible dynamics consists of a Hamiltonian and dissipative terms in Lindblad form. The relative entropy of entanglement and quantum mutual information are chosen as a measure of entanglement in an open system. At the end I will discuss the most recent progress on a generalization of the entanglement rate problem, which, for example, provides the bound on entanglement rate for Renyi entropy.

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