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

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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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Authors and Affiliations

  1. Department of Physics and Astronomy, Ghent University, Krijgslaan 281, S9, 9000, Ghent, Belgium

    Michaël Mariën, Koenraad M. R. Audenaert, Karel Van Acoleyen & Frank Verstraete

  2. Mathematics Department, Royal Holloway University of London, Egham, TW20 0EX, United Kingdom

    Koenraad M. R. Audenaert

  3. Fakultät für Physik, Universität Wien, Boltzmanngasse 5, 1090, Wien, Austria

    Frank Verstraete

Authors
  1. Michaël Mariën
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  2. Koenraad M. R. Audenaert
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  3. Karel Van Acoleyen
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  4. Frank Verstraete
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Correspondence to Michaël Mariën.

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Communicated by M. M. Wolf

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Mariën, M., Audenaert, K.M.R., Van Acoleyen, K. et al. Entanglement Rates and the Stability of the Area Law for the Entanglement Entropy. Commun. Math. Phys. 346, 35–73 (2016). https://doi.org/10.1007/s00220-016-2709-5

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