Super-Golden-Gates for PU(2)

Ori Parzanchevski, Peter Sarnak

Research output: Contribution to journalArticlepeer-review

25 Scopus citations


To each of the symmetry groups of the Platonic solids we adjoin a carefully designed involution yielding topological generators of PU(2) which have optimal covering properties as well as efficient navigation. These are a consequence of optimal strong approximation for integral quadratic forms associated with certain special quaternion algebras and their arithmetic groups. The generators give super efficient 1-qubit quantum gates and are natural building blocks for the design of universal quantum gates.

Original languageAmerican English
Pages (from-to)869-901
Number of pages33
JournalAdvances in Mathematics
StatePublished - 17 Mar 2018

Bibliographical note

Publisher Copyright:
© 2017 Elsevier Inc.


  • Quantum computing
  • Ramanujan conjectures
  • Strong approximation
  • Unitary groups


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