Publications
2014
Issue 101

MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

101/2014

Unextendible maximally entangled bases in $C^{d} ⨂ C^{d}$

Yan-Ling Wang, Mao-Sheng Li and Shao-Ming Fei

Abstract

We investigate the unextendible maximally entangled bases in $C^{d} ⨂ C^{d}$ and present a $30$ -number UMEB construction in $C^{6} ⨂ C^{6}$ . For higher dimensional case, we show that for a given $N$ -number UMEB in $C^{d} ⨂ C^{d}$ , there is a $\tilde{N}$ -number, $\tilde{N} = (q d)^{2} - (d^{2} - N)$ , UMEB in $C^{q d} ⨂ C^{q d}$ for any $q \in N$ . As an example, for $C^{12 n} ⨂ C^{12 n}$ systems, we show that there are at least two sets of UMEBs which are not equivalent.

Contact the author per mail Download full preprint 129 KB

Received:: 01.10.14

Published:: 06.10.14

PACS:: 03.67.Mn, 03.65.Ud, 03.67.Hk

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inJournal

2014 Repository Open Access

Yan-Ling Wang, Mao-Sheng Li and Shao-Ming Fei

Unextendible maximally entangled bases in $C^{d} \otimes C^{d}$

In: Physical review / A, 90 (2014) 3, p. 034301

BibTex DOI: 10.1103/PhysRevA.90.034301 ArXiv: 1409.5019

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