Families of Perfect Tensors

11/28/2022

∙

by   Runshi Geng, et al.

∙

0

∙

share

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 Życzkowski et al.