# Families of Perfect Tensors

@article{Geng2022FamiliesOP,
title={Families of Perfect Tensors},
author={Runshi Geng},
journal={ArXiv},
year={2022},
volume={abs/2211.15776}
}
Perfect tensors are the tensors corresponding to the absolutely maximally entangled states, a special type of quantum states of interest in quantum information theory. We establish a method to compute parameterized families of perfect tensors in ( C d ) ⊗ 4 using exponential maps from Lie theory. With this method, we ﬁnd explicit examples of non-classical perfect tensors in ( C 3 ) ⊗ 4 . In particular, we answer an open question posted by ˙Zyczkowski et al.

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