论文信息 - Unextendible maximally entangled bases

Unextendible maximally entangled bases

We introduce the notion of the unextendible maximally entangled basis (UMEB), a set of orthonormal maximally entangled states in C{sup d} x C{sup d} consisting of fewer than d{sup 2} vectors which have no additional maximally entangled vectors orthogonal to all of them. We prove that UMEBs do not exist for d=2 and give explicit constructions for a six-member UMEB with d=3 and a 12-member UMEB with d=4.

John A. Smolin | Sergei Bravyi | J. Smolin | S. Bravyi

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