Unextendible maximally entangled bases

Details Unextendible maximally entangled bases Unextendible maximally entangled bases

2009-11-20

arxiv.org/abs/0911.4090v2

Physics

Quantum Physics

3 pages, latex

Scientific paper

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.

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