# Symmetric informationally complete positive-operator-valued measures: A new computer study

@article{Scott2010SymmetricIC, title={Symmetric informationally complete positive-operator-valued measures: A new computer study}, author={A. J. Scott and Markus Grassl}, journal={Journal of Mathematical Physics}, year={2010}, volume={51}, pages={042203} }

We report on a new computer study of 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 to new…

## 206 Citations

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