Michaël Mariën, Koenraad M. R. Audenaert, Karel Van Acoleyen, Frank Verstraete
Published 2014-11-03Version 1
We prove a conjecture by Bravyi on an upper bound on entanglement rates of local Hamiltonians. We then use this bound to prove the stability of the area law for the entanglement entropy of quantum spin systems under adiabatic and quasi-adiabatic evolutions.
Entanglement entropy and hyperuniformity of Ginibre and Weyl-Heisenberg ensembles
Quantum spin systems on infinite lattices
Local factorisation of the dynamics of quantum spin systems
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