Perfect tensors are the tensors corresponding to the absolutely maximally entangled states, a special type of quantum states that is interested 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 $(\mathbb{C}^3)^{\otimes 4}$.
翻译：完全的 Excited Extentions are the Excallors commonded states, a special type of 量子信息理论中感兴趣的量子状态。 我们用“ 谎言” 理论的指数图来计算 $ (\ mathbb{C ⁇ d) $ (otimes 4} $ (mathb{C ⁇ d) 的完全 Excional Excords $ ($)(\\ mathb{C ⁇ 3) $ (美元) 。 我们用这种方法找到非古典性 完全 Excional ators $ ($ (\mathbb{C ⁇ 3) } @ postimes 4} $ (美元) 。 我们用这个方法来计算非古典的 Excle excultural excations in $ ($)($\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
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