PIRSA:24050016 Conference Quantum Information

DOI10.48660/24050016

Conference/School: Foundations of Quantum Computational Advantage

Bengtsson, I. (2024). GOLD-PLATED SICS. Perimeter Institute. https://pirsa.org/24050016

Bengtsson, Ingemar. GOLD-PLATED SICS. Perimeter Institute, May. 03, 2024, https://pirsa.org/24050016 

@misc{ pirsa_PIRSA:24050016,
  doi = {10.48660/24050016},
  url = {https://pirsa.org/24050016},
  author = {Bengtsson, Ingemar},
  keywords = {Quantum Information},
  language = {en},
  title = {GOLD-PLATED SICS},
  publisher = {Perimeter Institute},
  year = {2024},
  month = {may},
  note = {PIRSA:24050016 see, \url{https://pirsa.org}}
}

Abstract

There are well established conjectures about the symmetries of SIC-POVMs, and the number fields needed to construct them. If the dimension is of the form n^2 + 3 there is also an algorithm that allows us to calculate them, making use of Stark units in a subfield of the full number field. The algorithm works in the 72 dimensions where it has been tested. Joint work with (among others) Markus Grassl and Gary McConnell

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