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math.FA2024
The convex algebraic geometry of higher-rank numerical ranges
Jonathan Nino-Cortes, Cynthia Vinzant
The higher-rank numerical range is a convex compact set generalizing the classical numerical range of a square complex matrix, first appearing in the study of quantum error correct…
math.FA2015
A small frame and a certificate of its injectivity
Cynthia Vinzant
We present a complex frame of eleven vectors in 4-space and prove that it defines injective measurements. That is, any rank-one Hermitian matrix is uniquely determined…