Generating Ray Class Fields of Real Quadratic Fields via Complex Equiangular Lines

@article{Appleby2016GeneratingRC,
  title={Generating Ray Class Fields of Real Quadratic Fields via Complex Equiangular Lines},
  author={Marcus Appleby and S. Flammia and Gary McConnell and J. Yard},
  journal={arXiv: Number Theory},
  year={2016}
}
  • Marcus Appleby, S. Flammia, +1 author J. Yard
  • Published 2016
  • Mathematics, Physics
  • arXiv: Number Theory
  • For certain real quadratic fields $K$ with sufficiently small discriminant we produce explicit unit generators for specific ray class fields of $K$ using a numerical method that arose in the study of complete sets of equiangular lines in $\mathbb{C}^d$ (known in quantum information as symmetric informationally complete measurements or SICs). The construction in low dimensions suggests a general recipe for producing unit generators in infinite towers of ray class fields above arbitrary real… CONTINUE READING
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