Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevB.85.195145
DC FieldValue
dc.titleImproved one-dimensional area law for frustration-free systems
dc.contributor.authorArad, I
dc.contributor.authorLandau, Z
dc.contributor.authorVazirani, U
dc.date.accessioned2020-10-27T04:54:42Z
dc.date.available2020-10-27T04:54:42Z
dc.date.issued2012
dc.identifier.citationArad, 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.issn1098-0121
dc.identifier.urihttps://scholarbank.nus.edu.sg/handle/10635/180835
dc.description.abstractWe 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.rightsAttribution 4.0 International
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.sourceUnpaywall 20201031
dc.typeArticle
dc.contributor.departmentCENTRE FOR QUANTUM TECHNOLOGIES
dc.description.doi10.1103/PhysRevB.85.195145
dc.description.sourcetitlePhysical Review B - Condensed Matter and Materials Physics
dc.description.volume85
dc.description.issue19
dc.description.page195145
dc.published.statePublished
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