Corpus ID: 115164277

The maximal p-norm multiplicativity conjecture is false

@article{Hayden2007TheMP,
  title={The maximal p-norm multiplicativity conjecture is false},
  author={P. Hayden},
  journal={arXiv: Quantum Physics},
  year={2007}
}
  • P. Hayden
  • Published 2007
  • Mathematics, Physics
  • arXiv: Quantum Physics
  • For all 1 < p < 2, we demonstrate the existence of quantum channels with non-multiplicative maximal p-norms. Equivalently, the minimum output Renyi entropy of order p of a quantum channel is not additive for all 1 < p < 2. The violations found are large. As p approaches 1, the minimum output Renyi entropy of order p for a product channel need not be significantly greater than the minimum output entropy of its individual factors. Since p=1 corresponds to the von Neumann entropy, these… CONTINUE READING

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