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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.
Keywords
LIEB-ROBINSON BOUNDS, QUANTUM-LATTICE SYSTEMS, EXTREMAL-FUNCTIONS, AVERAGE ENTROPY, SPIN SYSTEMS, HAMILTONIANS, INEQUALITIES, COMMUTATORS, EQUIVALENCE, DECOHERENCE

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Please use this url to cite or link to this publication:

Chicago
Mariën, Michaël, Koenraad Audenaert, Karel Van Acoleyen, and Frank Verstraete. 2016. “Entanglement Rates and the Stability of the Area Law for the Entanglement Entropy.” Communications in Mathematical Physics 346 (1): 35–73.
APA
Mariën, M., Audenaert, K., Van Acoleyen, K., & Verstraete, F. (2016). Entanglement rates and the stability of the area law for the entanglement entropy. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 346(1), 35–73.
Vancouver
1.
Mariën M, Audenaert K, Van Acoleyen K, Verstraete F. Entanglement rates and the stability of the area law for the entanglement entropy. COMMUNICATIONS IN MATHEMATICAL PHYSICS. 2016;346(1):35–73.
MLA
Mariën, Michaël et al. “Entanglement Rates and the Stability of the Area Law for the Entanglement Entropy.” COMMUNICATIONS IN MATHEMATICAL PHYSICS 346.1 (2016): 35–73. Print.
@article{8152472,
  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.},
  author       = {Mari{\"e}n, Micha{\"e}l and Audenaert, Koenraad and Van Acoleyen, Karel and Verstraete, Frank},
  issn         = {0010-3616},
  journal      = {COMMUNICATIONS IN MATHEMATICAL PHYSICS},
  language     = {eng},
  number       = {1},
  pages        = {35--73},
  title        = {Entanglement rates and the stability of the area law for the entanglement entropy},
  url          = {http://dx.doi.org/10.1007/s00220-016-2709-5},
  volume       = {346},
  year         = {2016},
}

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