SIC-POVMs: A new computer study

  title={SIC-POVMs: A new computer study},
  author={A. J. Scott and Markus Grassl},
We report on a new computer study into the existence of d2 equiangular lines in d complex dimensions. Such maximal complex projective codes are conjectured to exist in all finite dimensions and are the underlying mathematical objects defining symmetric informationally complete measurements in quantum theory. We provide numerical solutions in all dimensions d ≤ 67 and, moreover, a putatively complete list of Weyl-Heisenberg covariant solutions for d ≤ 50. A symmetry analysis of this list leads… Expand

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