Michalakis, Spyridon (2012) Stability of the Area Law for the Entropy of Entanglement. , Pasadena, CA. (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20121102-135530255
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Abstract
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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| 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 | ||||||
| DOI: | 10.48550/arXiv.1206.6900 | ||||||
| Record Number: | CaltechAUTHORS:20121102-135530255 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20121102-135530255 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 35271 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Tony Diaz | ||||||
| Deposited On: | 03 Nov 2012 04:55 | ||||||
| Last Modified: | 02 Jun 2023 00:14 |
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