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Unextendible maximally entangled bases

Authors :
Bravyi, Sergei
Smolin, John A.
Publication Year :
2009

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.<br />Comment: 3 pages, latex

Subjects

Subjects :
Quantum Physics

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.0911.4090
Document Type :
Working Paper