The decompositions of Werner and isotropic states

@article{Yang2021TheDO,
  title={The decompositions of Werner and isotropic states},
  author={Ma-Cheng Yang and Jun-Li Li and Cong-Feng Qiao},
  journal={Quantum Inf. Process.},
  year={2021},
  volume={20},
  pages={1-11}
}
The decompositions of separable Werner state, and also isotropic state, are well-known tough issues in quantum information theory, in this work we investigate them in the Bloch vector representation, exploring the symmetric informationally complete positive operator-valued measure (SIC-POVM) in the Hilbert space. We successfully get the decomposition for arbitrary $N\times N$ Werner state in terms of regular simplexes. Meanwhile, the decomposition of isotropic state is found to be related to… 

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