Families of Perfect Tensors

• URL: http://arxiv.org/abs/2211.15776v3
• Date: Tue, 6 Dec 2022 22:52:28 GMT
• Title: Families of Perfect Tensors
• Authors: Runshi Geng
• Abstract summary: We compute parameterized families of perfect tensors in $(mathbbCd)otimes 4$ using exponential maps from Lie theory. We find explicit examples of non-classical perfect tensors in $(mathbbC3)otimes 4$.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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