Detecting $k$-nonstretchability via a class of informationally complete symmetric measurements
Quantum Physics
2025-09-10 v2 Mathematical Physics
math.MP
Abstract
Characterizing multipartite entanglement is a fundamental problem in quantum information theory. The concept of -stretchability [Szalay, Quantum 3, 204 (2019)] provides a framework for describing multipartite entanglement structures. We investigate the detection of -nonstretchability using informationally complete -POVMs [Siudziska, Phys. Rev. A 105, 042209 (2022)], which encompass GSIC-POVMs and MUMs. Several criteria for -nonstretchability in multipartite quantum systems are established. These criteria identify classes of -nonstretchable states, and their applicability and advantages are demonstrated through explicit examples.
Keywords
Cite
@article{arxiv.2508.12817,
title = {Detecting $k$-nonstretchability via a class of informationally complete symmetric measurements},
author = {Yan Hong and Mengjia Zhang and Limin Gao and Huaqi Zhou and Limei Zhang},
journal= {arXiv preprint arXiv:2508.12817},
year = {2025}
}