| dc.contributor.author | Harrow, Aram W | |
| dc.contributor.author | Montanaro, Ashley | |
| dc.date.accessioned | 2019-06-24T19:14:31Z | |
| dc.date.available | 2019-06-24T19:14:31Z | |
| dc.date.issued | 2017-04 | |
| dc.identifier.issn | 2521-327X | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/121396 | |
| dc.description.abstract | We apply classical algorithms for approximately solving constraint satisfaction problems to find bounds on extremal eigenvalues of local Hamiltonians. We consider spin Hamiltonians for which we have an upper bound on the number of terms in which each spin participates, and find extensive bounds for the operator norm and ground-state energy of such Hamiltonians under this constraint. In each case the bound is achieved by a product state which can be found efficiently using a classical algorithm. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant CCF-1111382) | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant CCF-1452616) | en_US |
| dc.description.sponsorship | United States. Army Research Office (Contract W911NF-12-1-0486) | en_US |
| dc.publisher | Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.22331/Q-2017-04-25-6 | en_US |
| dc.rights | Creative Commons Attribution 4.0 International license | en_US |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en_US |
| dc.source | Quantum | en_US |
| dc.title | Extremal eigenvalues of local Hamiltonians | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Harrow, Aram W., and Ashley Montanaro. “Extremal Eigenvalues of Local Hamiltonians.” Quantum 1 (April 2017): 6. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Center for Theoretical Physics | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Physics | en_US |
| dc.relation.journal | Quantum | en_US |
| dc.eprint.version | Final published version | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2019-03-26T15:23:14Z | |
| dspace.orderedauthors | Harrow, Aram W.; Montanaro, Ashley | en_US |
| dspace.embargo.terms | N | en_US |
| dspace.date.submission | 2019-04-04T11:18:44Z | |
| mit.journal.volume | 1 | en_US |
| mit.license | PUBLISHER_CC | en_US |
