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On fully entangled fraction of arbitrary $d\otimes d$ quantum states
Xue-Na Zhu, Gui Bao, Ming Li, Ming-Jing Zhao, Shao-Ming Fei·February 25, 2026·DOI: 10.1016/j.physleta.2026.131324
Quantum Physics
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Abstract
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 $d\otimes d$ bipartite systems. The fully entangled fractions for classes of $d\otimes d$ quantum states are analytically derived. Detailed examples are given to illustrate the advantages of our results.