Characterizing unextendible product bases in qutrit-ququad system

Unextendible product bases (UPBs) play an important role in quantum information theory. However, very little is known about UPBs in Hilbert space of local dimension more than three. In this paper, we study the UPBs in qutrit-ququad system and find that there only exist six, seven and eight-state UPB...

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Autores principales: Yang, Ying-Hui, Gao, Fei, Xu, Guang-Bao, Zuo, Hui-Juan, Zhang, Zhi-Chao, Wen, Qiao-Yan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group 2015
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4500951/
https://www.ncbi.nlm.nih.gov/pubmed/26169249
http://dx.doi.org/10.1038/srep11963
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author Yang, Ying-Hui
Gao, Fei
Xu, Guang-Bao
Zuo, Hui-Juan
Zhang, Zhi-Chao
Wen, Qiao-Yan
author_facet Yang, Ying-Hui
Gao, Fei
Xu, Guang-Bao
Zuo, Hui-Juan
Zhang, Zhi-Chao
Wen, Qiao-Yan
author_sort Yang, Ying-Hui
collection PubMed
description Unextendible product bases (UPBs) play an important role in quantum information theory. However, very little is known about UPBs in Hilbert space of local dimension more than three. In this paper, we study the UPBs in qutrit-ququad system and find that there only exist six, seven and eight-state UPBs. We completely characterize the six-state and seven-state UPBs. For eight-state UPBs, seven classes of UPBs are found. As auxiliary results, we study the distinguishability of qutrit-ququad UPBs by separable measurements, and find that there exists a UPB that cannot be distinguished.
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spelling pubmed-45009512015-07-17 Characterizing unextendible product bases in qutrit-ququad system Yang, Ying-Hui Gao, Fei Xu, Guang-Bao Zuo, Hui-Juan Zhang, Zhi-Chao Wen, Qiao-Yan Sci Rep Article Unextendible product bases (UPBs) play an important role in quantum information theory. However, very little is known about UPBs in Hilbert space of local dimension more than three. In this paper, we study the UPBs in qutrit-ququad system and find that there only exist six, seven and eight-state UPBs. We completely characterize the six-state and seven-state UPBs. For eight-state UPBs, seven classes of UPBs are found. As auxiliary results, we study the distinguishability of qutrit-ququad UPBs by separable measurements, and find that there exists a UPB that cannot be distinguished. Nature Publishing Group 2015-07-14 /pmc/articles/PMC4500951/ /pubmed/26169249 http://dx.doi.org/10.1038/srep11963 Text en Copyright © 2015, Macmillan Publishers Limited http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
spellingShingle Article
Yang, Ying-Hui
Gao, Fei
Xu, Guang-Bao
Zuo, Hui-Juan
Zhang, Zhi-Chao
Wen, Qiao-Yan
Characterizing unextendible product bases in qutrit-ququad system
title Characterizing unextendible product bases in qutrit-ququad system
title_full Characterizing unextendible product bases in qutrit-ququad system
title_fullStr Characterizing unextendible product bases in qutrit-ququad system
title_full_unstemmed Characterizing unextendible product bases in qutrit-ququad system
title_short Characterizing unextendible product bases in qutrit-ququad system
title_sort characterizing unextendible product bases in qutrit-ququad system
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4500951/
https://www.ncbi.nlm.nih.gov/pubmed/26169249
http://dx.doi.org/10.1038/srep11963
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