PIRSA:24050016

GOLD-PLATED SICS

APA

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

MLA

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

BibTex

          @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}}
          }
          

Ingemar Bengtsson University of Stockholm

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