MPS Stability and the Intersection Property
| Title: | MPS Stability and the Intersection Property |
|---|---|
| Authors: | Garre-Rubio, José, Turzillo, Alex, Molnár, András |
| Publication Year: | 2025 |
| Collection: | Condensed Matter Quantum Physics |
| Subject Terms: | Quantum Physics, Condensed Matter - Strongly Correlated Electrons |
| More Details: | We identify a property of the local tensors of matrix product states (MPS) that guarantees that their parent Hamiltonians satisfy the intersection property. The intersection property ensures that the ground space consists of MPS, with degeneracy bounded by the square of the bond dimension. The new local property, dubbed stability, generalizes (block) injectivity and is satisfied by the MPS tensors that construct the W state, domain wall superposition states, and their generalizations. |
| Document Type: | Working Paper |
| Access URL: | http://arxiv.org/abs/2501.17109 |
| Accession Number: | edsarx.2501.17109 |
| Database: | arXiv |
| FullText | Text: Availability: 0 CustomLinks: – Url: http://arxiv.org/abs/2501.17109 Name: EDS - Arxiv Category: fullText Text: View this record from Arxiv MouseOverText: View this record from Arxiv – Url: https://resolver.ebsco.com/c/xy5jbn/result?sid=EBSCO:edsarx&genre=article&issn=&ISBN=&volume=&issue=&date=20250128&spage=&pages=&title=MPS Stability and the Intersection Property&atitle=MPS%20Stability%20and%20the%20Intersection%20Property&aulast=Garre-Rubio%2C%20Jos%C3%A9&id=DOI: Name: Full Text Finder (for New FTF UI) (s8985755) Category: fullText Text: Find It @ SCU Libraries MouseOverText: Find It @ SCU Libraries |
|---|---|
| Header | DbId: edsarx DbLabel: arXiv An: edsarx.2501.17109 RelevancyScore: 1129 AccessLevel: 3 PubType: Report PubTypeId: report PreciseRelevancyScore: 1129.23046875 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: MPS Stability and the Intersection Property – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Garre-Rubio%2C+José%22">Garre-Rubio, José</searchLink><br /><searchLink fieldCode="AR" term="%22Turzillo%2C+Alex%22">Turzillo, Alex</searchLink><br /><searchLink fieldCode="AR" term="%22Molnár%2C+András%22">Molnár, András</searchLink> – Name: DatePubCY Label: Publication Year Group: Date Data: 2025 – Name: Subset Label: Collection Group: HoldingsInfo Data: Condensed Matter<br />Quantum Physics – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Quantum+Physics%22">Quantum Physics</searchLink><br /><searchLink fieldCode="DE" term="%22Condensed+Matter+-+Strongly+Correlated+Electrons%22">Condensed Matter - Strongly Correlated Electrons</searchLink> – Name: Abstract Label: Description Group: Ab Data: We identify a property of the local tensors of matrix product states (MPS) that guarantees that their parent Hamiltonians satisfy the intersection property. The intersection property ensures that the ground space consists of MPS, with degeneracy bounded by the square of the bond dimension. The new local property, dubbed stability, generalizes (block) injectivity and is satisfied by the MPS tensors that construct the W state, domain wall superposition states, and their generalizations. – Name: TypeDocument Label: Document Type Group: TypDoc Data: Working Paper – Name: URL Label: Access URL Group: URL Data: <link linkTarget="URL" linkTerm="http://arxiv.org/abs/2501.17109" linkWindow="_blank">http://arxiv.org/abs/2501.17109</link> – Name: AN Label: Accession Number Group: ID Data: edsarx.2501.17109 |
| PLink | https://login.libproxy.scu.edu/login?url=https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&scope=site&db=edsarx&AN=edsarx.2501.17109 |
| RecordInfo | BibRecord: BibEntity: Subjects: – SubjectFull: Quantum Physics Type: general – SubjectFull: Condensed Matter - Strongly Correlated Electrons Type: general Titles: – TitleFull: MPS Stability and the Intersection Property Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Garre-Rubio, José – PersonEntity: Name: NameFull: Turzillo, Alex – PersonEntity: Name: NameFull: Molnár, András IsPartOfRelationships: – BibEntity: Dates: – D: 28 M: 01 Type: published Y: 2025 |
| ResultId | 1 |