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arXiv · 0911.4090

Unextendible maximally entangled bases

Sergei Bravyi·John A. Smolin
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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.

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Sergei Bravyi, John A. Smolin. 2009-11-20. Unextendible maximally entangled bases. https://arxiv.org/abs/0911.4090

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