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Stability of the Area Law for the Entropy of Entanglement

Michalakis, Spyridon (2012) Stability of the Area Law for the Entropy of Entanglement. , Pasadena, CA. (Unpublished)

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Recent results on the stability of the spectral gap under general perturbations for frustration-free Hamiltonians, have motivated the following question: Does the entanglement entropy of quantum states that are connected to states satisfying an area law along gapped Hamiltonian paths, also satisfy an area law? We answer this question in the affirmative, combining recent advances in quasi-adiabatic evolution and Lieb-Robinson bounds with ideas from the proof of the 1D area law.

Item Type:Report or Paper (Discussion Paper)
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URLURL TypeDescription Paper
Michalakis, Spyridon0000-0003-4963-1156
Additional Information:The author would like to thank M. B. Hastings for helpful remarks on the use of quasi-adiabatic evolution in the context of entanglement entropy, as well as fruitful discussions with B. Nachtergaele, N. Schuch and A. Gorshkov.
Group:Institute for Quantum Information and Matter
Record Number:CaltechAUTHORS:20121102-135530255
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:35271
Deposited By: Tony Diaz
Deposited On:03 Nov 2012 04:55
Last Modified:02 Jun 2023 00:14

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