On the boundary of weighted numerical ranges

Abstract

In this article, we are going to introduce the weighted numerical range which is a further generalization both the c-numerical range and the rank k numerical range. If the boundaries of weighted numerical ranges of two matrices (possibly of different sizes) overlap at sufficiently many points, then the two matrices share common generalized eigenvalues.

References in corpus (2)

• Recovery in quantum error correction for general noise without measurement
• Efficient Quantum Error Correction for Fully Correlated Noise