# SIC-POVMs: A new computer study

@inproceedings{Scott2009SICPOVMsAN, title={SIC-POVMs: A new computer study}, author={Andrew James Scott and Markus Grassl}, year={2009} }

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… CONTINUE READING

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## SICs: Extending the list of solutions

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## Algebraic units, anti-unitary symmetries, and a small catalogue of SICs

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## Geometric and Information-Theoretic Properties of the Hoggar Lines

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## Quantum measurements with prescribed symmetry

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## Tight frames, Hadamard matrices and Zauner’s conjecture

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## On symmetric decompositions of positive operators

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## Some non-standard ways to generate SIC-POVMs in dimensions 2 and 3

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## Systems of imprimitivity for the clifford group

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