Please use this identifier to cite or link to this item:
https://doi.org/10.1103/PhysRevB.85.195145
DC Field | Value | |
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dc.title | Improved one-dimensional area law for frustration-free systems | |
dc.contributor.author | Arad, I | |
dc.contributor.author | Landau, Z | |
dc.contributor.author | Vazirani, U | |
dc.date.accessioned | 2020-10-27T04:54:42Z | |
dc.date.available | 2020-10-27T04:54:42Z | |
dc.date.issued | 2012 | |
dc.identifier.citation | Arad, I, Landau, Z, Vazirani, U (2012). Improved one-dimensional area law for frustration-free systems. Physical Review B - Condensed Matter and Materials Physics 85 (19) : 195145. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevB.85.195145 | |
dc.identifier.issn | 1098-0121 | |
dc.identifier.uri | https://scholarbank.nus.edu.sg/handle/10635/180835 | |
dc.description.abstract | We present a new proof for the 1D area law for frustration-free systems with a constant gap, which exponentially improves the entropy bound in Hastings? 1D area law and which is tight to within a polynomial factor. For particles of dimension d, spectral gap ?0, and interaction strength at most J, our entropy bound is S 1D?O(1)•X3log8X, where X=def(Jlogd)/?. Our proof is completely combinatorial, combining the detectability lemma with basic tools from approximation theory. In higher dimensions, when the bipartitioning area is |?L|, we use additional local structure in the proof and show that S?O(1)• |? L |2log6|?L|•X3log8X. This is at the cusp of being nontrivial in the 2D case, in the sense that any further improvement would yield a subvolume law. © 2012 American Physical Society. | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.source | Unpaywall 20201031 | |
dc.type | Article | |
dc.contributor.department | CENTRE FOR QUANTUM TECHNOLOGIES | |
dc.description.doi | 10.1103/PhysRevB.85.195145 | |
dc.description.sourcetitle | Physical Review B - Condensed Matter and Materials Physics | |
dc.description.volume | 85 | |
dc.description.issue | 19 | |
dc.description.page | 195145 | |
dc.published.state | Published | |
Appears in Collections: | Staff Publications Elements |
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