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arxiv: 1605.01426 · v1 · pith:QNWFAZXNnew · submitted 2016-05-04 · 🪐 quant-ph

Sporadic SICs and the Normed Division Algebras

classification 🪐 quant-ph
keywords groupssymmetryalgebrasclassifiedcomplexdivisiondoublyintegers
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Recently, Zhu classified all the SIC-POVMs whose symmetry groups act doubly transitively. Lattices of integers in the complex numbers, the quaternions and the octonions yield the key parts of these symmetry groups.

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