Advertisement
Published in:
01-11-2020
Mutually unbiased unextendible maximally entangled bases in some systems of higher dimension
Published in: Quantum Information Processing | Issue 12/2020
Log inActivate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
Abstract
We study the construction of mutually unbiased bases such that all the bases are unextendible maximally entangled ones. By using some results from the theory of finite fields, we construct mutually unbiased unextendible maximally entangled bases in some bipartite systems of higher dimension: \({\mathbb {C}}^{4} \otimes {\mathbb {C}}^{5}\), \({\mathbb {C}}^{6} \otimes {\mathbb {C}}^{7}\), \({\mathbb {C}}^{10} \otimes {\mathbb {C}}^{11}\) and \({\mathbb {C}}^{12} \otimes {\mathbb {C}}^{13}\), which extend the known result of \({\mathbb {C}}^{2} \otimes {\mathbb {C}}^{3}\). We also generalize these results to more bipartie systems of specific dimension.