Families of Perfect Tensors

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 Życzkowski et al.

Cited by in corpus (1)

• Conformal geometry from entanglement