Families of Perfect Tensors

Runshi Geng

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arXiv · 2211.15776

Families of Perfect Tensors

Runshi Geng

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Abstract

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 $(\mathbb{C}^d)^{\otimes 4}$ using exponential maps from Lie theory. With this method, we find explicit examples of non-classical perfect tensors in $(\mathbb{C}^3)^{\otimes 4}$. In particular, we answer an open question posted by \.Zyczkowski et al.

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Runshi Geng. 2022-11-28. Families of Perfect Tensors. https://arxiv.org/abs/2211.15776

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