Corpus ID: 211066275

The Haemers bound of noncommutative graphs

  title={The Haemers bound of noncommutative graphs},
  author={Sander Gribling and Yinan Li},
  • Sander Gribling, Yinan Li
  • Published 2020
  • Physics, Mathematics
  • We continue the study of the quantum channel version of Shannon's zero-error capacity problem. We generalize the celebrated Haemers bound to noncommutative graphs (obtained from quantum channels). We prove basic properties of this bound, such as additivity under the direct sum and submultiplicativity under the tensor product. The Haemers bound upper bounds the Shannon capacity of noncommutative graphs, and we show that it can outperform other known upper bounds, including noncommutative… CONTINUE READING

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