A family of norms with applications in quantum information theory II

@article{Johnston2011AFO,
  title={A family of norms with applications in quantum information theory II},
  author={Nathaniel Johnston and David W. Kribs},
  journal={Quantum Inf. Comput.},
  year={2011},
  volume={11},
  pages={104-123}
}
  • Nathaniel Johnston, David W. Kribs
  • Published 2011
  • Physics, Mathematics, Computer Science
  • Quantum Inf. Comput.
  • We consider the problem of computing the family of operator norms recently introducedin [1]. We develop a family of semidefinite programs that can be used to exactly computethem in small dimensions and bound them in general. Some theoretical consequencesfollow from the duality theory of semidefinite programming, including a new constructiveproof that for all r there are non-positive partial transpose Werner states that are r-undistillable. Several examples are considered via a MATLAB… CONTINUE READING

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