A short history of frames and quantum designs
Quantum Physics
2017-09-08 v1 Mathematical Physics
History and Overview
math.MP
Abstract
In this survey, we relate frame theory and quantum information theory, focusing on quantum 2-designs. These are arrangements of weighted subspaces which are in a specific sense optimal for quantum state tomography. After a brief introduction, we discuss the role of POVMs in quantum theory, developing the importance of quantum 2-designs. In the final section, we collect many if not most known examples of quantum-2 designs to date.
Keywords
Cite
@article{arxiv.1709.01958,
title = {A short history of frames and quantum designs},
author = {Bernhard Bodmann and John Haas},
journal= {arXiv preprint arXiv:1709.01958},
year = {2017}
}
Comments
13 pages; survey