Measures from conical 2-designs depend only on two constants
Quantum Physics
2026-01-22 v1 Mathematical Physics
math.MP
Abstract
Quantum measurements are important tools in quantum information, represented by positive, operator-valued measures. A wide class of symmetric measurements is given via generalized equiangular measurements that form conical 2-designs. We show that only two positive constants are needed to fully characterize a variety of important quantum measures constructed from such operators. Examples are given for entropic uncertainty relations, the Brukner-Zeilinger invariants, quantum coherence, quantum concurrence, and the Schmidt-number criterion for entanglement detection.
Cite
@article{arxiv.2506.18211,
title = {Measures from conical 2-designs depend only on two constants},
author = {Katarzyna Siudzińska},
journal= {arXiv preprint arXiv:2506.18211},
year = {2026}
}