2009/11/20 by Sergei Bravyi, Bravyi, Sergei, John A. Smolin +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.0911.4090
3 pages, latex
arxiv created 2009/11/20 · arxiv updated 2009/12/08
We introduce the notion of the unextendible maximally entangled basis (UMEB), a set of orthonormal maximally entangled states in d × d consisting of fewer that d2 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.