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

arXiv
Authors: Michaël Mariën, Koenraad M. R. Audenaert, Karel Van Acoleyen, Frank Verstraete

Year

2014

Paper ID

46632

Status

Preprint

Abstract Read

~2 min

Abstract Words

42

Citations

N/A

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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  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
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  • We prove a conjecture by Bravyi on an upper bound on entanglement rates of local Hamiltonians.

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