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arXiv · 1411.0680

Entanglement Rates and the Stability of the Area Law for the Entanglement Entropy

Michaël Mariën·Koenraad M. R. Audenaert·Karel Van Acoleyen·Frank Verstraete
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Abstract

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.

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Michaël Mariën, Koenraad M. R. Audenaert, Karel Van Acoleyen, Frank Verstraete. 2014-11-03. Entanglement Rates and the Stability of the Area Law for the Entanglement Entropy. https://arxiv.org/abs/1411.0680

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