Unextendible maximally entangled bases
Quantum Physics
2009-11-23 v2
Abstract
We introduce the notion of the unextendible maximally entangled basis (UMEB), a set of orthonormal maximally entangled states in d \times d consisting of fewer that d^2 vectors which have no additional maximally entangled vectors orthogonal to all of them. We prove that UMEBs don't not exist for d=2 and give an explicit constructions for a 6-member UMEB with d=3 and a 12-member UMEB with d=4.
Keywords
Cite
@article{arxiv.0911.4090,
title = {Unextendible maximally entangled bases},
author = {Sergei Bravyi and John A. Smolin},
journal= {arXiv preprint arXiv:0911.4090},
year = {2009}
}
Comments
3 pages, latex