We study the fully entangled fraction of quantum states based on the Bloch representation of density matrices. Analytical upper bounds on the fully entangled fraction are obtained for arbitrary d⊗d bipartite systems. The fully entangled fractions for classes of d⊗d quantum states are analytically derived. Detailed examples are given to illustrate the advantages of our results.
@article{arxiv.2602.21471,
title = {On fully entangled fraction of arbitrary $d\otimes d$ quantum states},
author = {Xue-Na Zhu and Gui Bao and Ming Li and Ming-Jing Zhao and Shao-Ming Fei},
journal= {arXiv preprint arXiv:2602.21471},
year = {2026}
}