Numerical shadow and geometry of quantum states

  title={Numerical shadow and geometry of quantum states},
  author={C. Dunkl and Piotr Gawron and J. Holbrook and J. A. Miszczak and Z. Puchala and K. Zyczkowski},
  journal={Journal of Physics A},
  • C. Dunkl, Piotr Gawron, +3 authors K. Zyczkowski
  • Published 2011
  • Physics, Mathematics
  • Journal of Physics A
  • The totality of normalised density matrices of order N forms a convex setQN in N 2 1 . Working with the at geometry induced by the Hilbert{Schmidt distance we consider images of orthogonal projections of QN onto a two{plane and show that they are similar to the numerical ranges of matrices of order N. For a matrix A of a order N one denes its numerical shadow as a probability distribution supported on its numerical range W (A), induced by the unitarily invariant Fubini{ Study measure on the… CONTINUE READING

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