Quantum information theory is a branch of science at the frontier of physics, mathematics,
and information science, and offers a variety of solutions that are impossible using classical …

In this survey we review the many faces of the S-lemma, a result about the correctness of the
S-procedure. The basic idea of this widely used method came from control theory but it has …

In this paper we aim to investigate the concept of numerical range and maximal numerical
range relative to a positive operator of a d-tuple of bounded linear operators on a Hilbert …

We consider settings in which T multi-antenna transmitters and K single-antenna receivers
concurrently utilize the available communication resources. Each transmitter sends useful …

We discuss the uniqueness of quantum states compatible with given measurement results
for a set of observables. For a given pure state, we consider two different types of …

A Journey through the History of Numerical Linear Algebra: Back Matter Page 1 Bibliography
[1] A. Abdelfattah, H. Anzt, A. Bouteiller, A. Danalis, JJ Dongarra, M. Gates, A. Haidar, J. Kurzak …

Dilation theory is a paradigm for studying operators by way of exhibiting an operator as a
compression of another operator which is in some sense well behaved. For example, every …

We investigate the convexity of the joint numerical range of m-tuples of n× n hermitian
matrices. The methods come from differential geometry and the differential and algebraic …

Given X, Y∈ Rn× m we introduce the following notion of matrix majorization, called weak
matrix majorization, and consider the relations between this concept, strong majorization (≻ …

For a noisy quantum channel, a quantum error correcting code of dimension k exists if and
only if the joint rank-k numerical range associated with the error operators of the channel is …