rank-k numerical range, matrix polynomials, quantum error correc- tion


This article introduces the notion of the rank-$k$ numerical range $\Lambda_{k}(L)$ of a matrix polynomial $L(\lambda) = A_{m} \lambda^{m} + \cdots + A_{1} \lambda + A_{0}$, whose coefficients are $n\times n$ complex matrices. Also, geometric properties are obtained, including the relation to the ordinary numerical range $W(L)$.



To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.