Search

MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

MiS Preprint
6/2019

Unextendible Maximally Entangled Bases in \(\mathbb {C}^{pd}\otimes \mathbb {C}^{qd}\)

Gui-Jun Zhang, Yuan-Hong Tao, Yi-Fan Han, Xin-Lei Yong and Shao-Ming Fei

Abstract

The construction of unextendible maximally entangled bases is tightly related to quantum information processing like local state discrimination. We put forward two constructions of UMEBs in $\mathbb {C}^{pd}\otimes \mathbb {C}^{qd}$ ($p\leq q$) based on the constructions of UMEBs in $\mathbb {C}^{d}\otimes \mathbb {C}^{d}$ and in $\mathbb {C}^{p}\otimes \mathbb {C}^{q}$, which generalize the results in [Phys. Rev. A. 94, 052302 (2016)] by two approaches. Two different 48-member UMEBs in $\mathbb {C}^{6}\otimes \mathbb {C}^{9}$ have been constructed in detail.

Received:
Jan 9, 2019
Published:
Jan 15, 2019

Related publications

inJournal
2018 Repository Open Access
Gui-Jun Zhang, Yuan-Hong Tao, Yi-Fan Han, Xin-Lei Yong and Shao-Ming Fei

Unextendible maximally entangled bases in \(C^{pd} \otimes C^{qd}\)

In: Quantum information processing, 17 (2018) 11, p. 318