Published September 2015
| Published + Submitted
Journal Article
Open
Holographic entropy inequalities and gapped phases of matter
- Creators
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Bao, Ning
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Cao, ChunJun
- Walter, Michael
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Wang, Zitao
Abstract
We extend our studies of holographic entropy inequalities to gapped phases of matter. For any number of regions, we determine the linear entropy inequalities satisfied by systems in which the entanglement entropy satisfies an exact area law. In particular, we find that all holographic entropy inequalities are valid in such systems. In gapped systems with topological order, the "cyclic inequalities" derived recently for the holo-graphic entanglement entropy generalize the Kitaev-Preskill formula for the topological entanglement entropy. Finally, we propose a candidate linear inequality for general 4-party quantum states.
Additional Information
© 2015 The Authors. Article funded by SCOAP3. Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Received: July 29, 2015. Accepted: September 7, 2015. Published: September 29, 2015. We thank Sepehr Nezami and Bogdan Stoica for helpful discussions. This research is supported in part by the Institute for Quantum Information and Matter at Caltech, by the Walter Burke Institute for Theoretical Physics at Caltech, by DOE grant DE-SC0011632, by the Gordon and Betty Moore Foundation through Grant 776 to the Caltech Moore Center for Theoretical Cosmology and Physics, by the Simons Foundation, and by FQXI. N.B. is supported by the DuBridge postdoctoral fellowship at the Walter Burke Institute for Theoretical Physics.Attached Files
Published - art_10.1007_JHEP09_2015_203.pdf
Submitted - 1507.05650v2.pdf
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art_10.1007_JHEP09_2015_203.pdf
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Additional details
- Eprint ID
- 59459
- Resolver ID
- CaltechAUTHORS:20150812-144213214
- Institute for Quantum Information and Matter (IQIM)
- Walter Burke Institute for Theoretical Physics, Caltech
- DE-SC0011632
- Department of Energy (DOE)
- 776
- Gordon and Betty Moore Foundation
- Simons Foundation
- Foundational Questions Institute (FQXI)
- DuBridge Postdoctoral Fellowship
- Created
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2015-08-12Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics, Institute for Quantum Information and Matter, Moore Center for Theoretical Cosmology and Physics
- Other Numbering System Name
- CALT-TH
- Other Numbering System Identifier
- 2015-041