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arXiv · 1704.02106

Super-Golden-Gates for PU(2)

Ori Parzanchevski·Peter Sarnak
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Abstract

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.

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BibTeXRIS

Ori Parzanchevski, Peter Sarnak. 2017-04-07. Super-Golden-Gates for PU(2). https://doi.org/10.1016/j.aim.2017.06.022

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