File Download
There are no files associated with this item.
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1088/1367-2630/ac9e14
- Scopus: eid_2-s2.0-85142483407
- WOS: WOS:000890510600001
- Find via
Supplementary
- Citations:
- Appears in Collections:
Article: Unextendible and uncompletable product bases in every bipartition
Title | Unextendible and uncompletable product bases in every bipartition |
---|---|
Authors | |
Keywords | tile structures uncompletable product bases unextendible product bases |
Issue Date | 1-Nov-2022 |
Publisher | IOP Publishing |
Citation | New Journal of Physics, 2022, v. 24, n. 11 How to Cite? |
Abstract | Unextendible product basis is an important object in quantum information theory and features a broad spectrum of applications, ranging from quantum nonlocality to quantum cryptography. A generalized concept called uncompletable product basis also attracts much attention. In this paper, we find some unextendible product bases that are uncompletable product bases in every bipartition, which answers a 19 year-old open question proposed by DiVincenzo et al (2003 Commun. Math. Phys. 238 379–410). As a consequence, we connect such unextendible product bases to local hiding of information, positive-partial-transpose entangled states and genuinely entangled states. Furthermore, we give a sufficient condition for the existence of an unextendible product basis that is still unextendible in every bipartition, and the existence of such a UPB is another open question proposed by Demianowic et al (2018 Phys. Rev. A 98 012313). Our results advance the understanding of the geometry of unextendible product bases. |
Persistent Identifier | http://hdl.handle.net/10722/337819 |
ISSN | 2023 Impact Factor: 2.8 2023 SCImago Journal Rankings: 1.090 |
ISI Accession Number ID |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Shi, Fei | - |
dc.contributor.author | Li, Mao-Sheng | - |
dc.contributor.author | Zhang, Xiande | - |
dc.contributor.author | Zhao, Qi | - |
dc.date.accessioned | 2024-03-11T10:24:07Z | - |
dc.date.available | 2024-03-11T10:24:07Z | - |
dc.date.issued | 2022-11-01 | - |
dc.identifier.citation | New Journal of Physics, 2022, v. 24, n. 11 | - |
dc.identifier.issn | 1367-2630 | - |
dc.identifier.uri | http://hdl.handle.net/10722/337819 | - |
dc.description.abstract | <p>Unextendible product basis is an important object in quantum information theory and features a broad spectrum of applications, ranging from quantum nonlocality to quantum cryptography. A generalized concept called uncompletable product basis also attracts much attention. In this paper, we find some unextendible product bases that are uncompletable product bases in every bipartition, which answers a 19 year-old open question proposed by DiVincenzo <em>et al</em> (2003 <em>Commun. Math. Phys.</em> <strong>238</strong> 379–410). As a consequence, we connect such unextendible product bases to local hiding of information, positive-partial-transpose entangled states and genuinely entangled states. Furthermore, we give a sufficient condition for the existence of an unextendible product basis that is still unextendible in every bipartition, and the existence of such a UPB is another open question proposed by Demianowic <em>et al</em> (2018 <em>Phys. Rev.</em> A <strong>98</strong> 012313). Our results advance the understanding of the geometry of unextendible product bases.<br></p> | - |
dc.language | eng | - |
dc.publisher | IOP Publishing | - |
dc.relation.ispartof | New Journal of Physics | - |
dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
dc.subject | tile structures | - |
dc.subject | uncompletable product bases | - |
dc.subject | unextendible product bases | - |
dc.title | Unextendible and uncompletable product bases in every bipartition | - |
dc.type | Article | - |
dc.identifier.doi | 10.1088/1367-2630/ac9e14 | - |
dc.identifier.scopus | eid_2-s2.0-85142483407 | - |
dc.identifier.volume | 24 | - |
dc.identifier.issue | 11 | - |
dc.identifier.eissn | 1367-2630 | - |
dc.identifier.isi | WOS:000890510600001 | - |
dc.identifier.issnl | 1367-2630 | - |