Published June 28, 2012
| Submitted
Discussion Paper
Open
Stability of the Area Law for the Entropy of Entanglement
- Creators
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Michalakis, Spyridon
Chicago
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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.
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.Attached Files
Submitted - 1206.6900v2.pdf
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1206.6900v2.pdf
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Additional details
- Eprint ID
- 35271
- Resolver ID
- CaltechAUTHORS:20121102-135530255
- Created
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2012-11-03Created from EPrint's datestamp field
- Updated
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2023-06-02Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter