All classes of informationally complete symmetric measurements in finite dimensions
Quantum Physics
2022-04-27 v2
Abstract
A broad class of informationally complete symmetric measurements is introduced. It can be understood as a common generalization of symmetric, informationally complete POVMs and mutually unbiased bases. Additionally, it provides a natural way to define two new families of mutually unbiased symmetric measurement operators in any finite dimension. We show a general method of their construction, together with an example of an optimal measurement. Finally, we analyze the properties of symmetric measurements and provide applications in entropic relations and entanglement detection.
Keywords
Cite
@article{arxiv.2111.08101,
title = {All classes of informationally complete symmetric measurements in finite dimensions},
author = {Katarzyna Siudzińska},
journal= {arXiv preprint arXiv:2111.08101},
year = {2022}
}