Unextendible maximally entangled bases

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.

3 pages, latex

References in corpus (2)

• Entanglement of assistance and multipartite state distillation
• Super-Activation of Zero-Error Capacity of Noisy Quantum Channels

Cited by in corpus (1)

• A Note on Locally Unextendible Non-Maximally Entangled Basis