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.

翻译：完美的 Expect Excellent Exclors is the Excited Excited stronged states, 一种在量子信息理论中引起关注的特殊量子状态。 我们用“ 谎言” 理论的指数图来设定一种方法, 以$ (\ mathbb{C ⁇ d) $ (otimes 4} $ ($) 来计算完美 Exclors 的参数式数组 。 使用这种方法, 我们发现非古典的 完全 Exclors 的明显例子 $ ($\ mathbb{C ⁇ 3} ⁇ 4} $ ($) 。 特别是, 我们回答了 Zyczkowski et al 张贴的未决问题 。