• DOI:10.48550/arXiv.2211.15776
• Corpus ID: 254069895

Families of Perfect Tensors

@article{Geng2022FamiliesOP,
  title={Families of Perfect Tensors},
  author={Runshi Geng},
  journal={ArXiv},
  year={2022},
  volume={abs/2211.15776}
}

• Runshi Geng
• Published 28 November 2022
• Physics
• ArXiv

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 ˙Zyczkowski et al.