| dc.contributor.author | Movassagh, Ramis | |
| dc.contributor.author | Farhi, Edward | |
| dc.contributor.author | Goldstone, Jeffrey | |
| dc.contributor.author | Nagaj, Daniel | |
| dc.contributor.author | Osborne, Tobias J. | |
| dc.contributor.author | Shor, Peter W. | |
| dc.date.accessioned | 2011-01-14T13:36:08Z | |
| dc.date.available | 2011-01-14T13:36:08Z | |
| dc.date.issued | 2010-07 | |
| dc.date.submitted | 2010-03 | |
| dc.identifier.issn | 1050-2947 | |
| dc.identifier.issn | 1094-1622 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/60561 | |
| dc.description.abstract | We investigate chains of d-dimensional quantum spins (qudits) on a line with generic nearest-neighbor interactions without translational invariance. We find the conditions under which these systems are not frustrated, that is, when the ground states are also the common ground states of all the local terms in the Hamiltonians. The states of a quantum spin chain are naturally represented in the matrix product states (MPS) framework. Using imaginary time evolution in the MPS ansatz, we numerically investigate the range of parameters in which we expect the ground states to be highly entangled and find them hard to approximate using our MPS method. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant No. CCF-0829421) | en_US |
| dc.description.sponsorship | United States. Dept. of Energy (Cooperative Research Agreement No. DE-FG02-94ER40818) | en_US |
| dc.description.sponsorship | W.M. Keck Foundation (Center for extreme Quantum Information Theory (xQIT)) | en_US |
| dc.description.sponsorship | United States. Army Research Office (Grant No. W911NF-09-1-0438) | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant No. CCF-0829421) | en_US |
| dc.description.sponsorship | Slovak Research and Development Agency (Contract No. APVV LPP- 0430-09) | en_US |
| dc.description.sponsorship | European project (OP CE QUTE ITMS NFP 26240120009) | en_US |
| dc.language.iso | en_US | |
| dc.publisher | American Physical Society | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1103/PhysRevA.82.012318 | en_US |
| dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
| dc.source | APS | en_US |
| dc.title | Unfrustrated qudit chains and their ground states | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Movassagh, Ramis, et al. "Unfrustrated qudit chains and their ground states." Physical Review A 82.1 (2010): 012318. © 2010 The American Physical Society | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Center for Theoretical Physics | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Physics | en_US |
| dc.contributor.approver | Shor, Peter W. | |
| dc.contributor.mitauthor | Movassagh, Ramis | |
| dc.contributor.mitauthor | Farhi, Edward | |
| dc.contributor.mitauthor | Goldstone, Jeffrey | |
| dc.contributor.mitauthor | Shor, Peter W. | |
| dc.relation.journal | Physical Review A | 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 |
| dspace.orderedauthors | Movassagh, Ramis; Farhi, Edward; Goldstone, Jeffrey; Nagaj, Daniel; Osborne, Tobias; Shor, Peter | en |
| dc.identifier.orcid | https://orcid.org/0000-0002-7309-8489 | |
| dc.identifier.orcid | https://orcid.org/0000-0002-4078-6752 | |
| dc.identifier.orcid | https://orcid.org/0000-0003-4626-5648 | |
| mit.license | PUBLISHER_POLICY | en_US |
| mit.metadata.status | Complete | |
