Entanglement rates for Renyi, Tsallis and other entropies
Mathematical Physics
2022-01-03 v3 math.MP
Abstract
We provide an upper bound on the maximal entropy rate at which the entropy of the expected density operator of a given ensemble of two states changes under nonlocal unitary evolution. A large class of entropy measures in considered, which includes Renyi and Tsallis entropies. The result is derived from a general bound on the trace-norm of a commutator, which can be expected to find other implementations. We apply this result to bound the maximal rate at which quantum dynamics can generate entanglement in a bipartite closed system with Renyi and Tsallis entanglement entropy taken as measures of entanglement in the system.
Keywords
Cite
@article{arxiv.1803.07117,
title = {Entanglement rates for Renyi, Tsallis and other entropies},
author = {Anna Vershynina},
journal= {arXiv preprint arXiv:1803.07117},
year = {2022}
}