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

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.

preprint2014arXivOpen access
Michaël MariënKoenraad M. R. AudenaertKarel Van AcoleyenFrank Verstraete
math-phmath.MPquant-ph
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Michaël MariënKoenraad M. R. AudenaertKarel Van AcoleyenFrank Verstraete

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