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2016

Sporadic SICs and the Normed Division Algebras

Stacey, Blake C.

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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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J. C. Baez, “ On Quaternions and Octonions: Their Geometry, Arithmetic, and Symmetry
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R. A. Wilson, The Finite Simple Groups
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A. J. Scott and M. Grassl, “ SIC-POVMs: A new computer study ,” Journal of Mathematical Physics
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C. A. Fuchs, “QBism: The Perimeter of Quantum Bayesianism,” arXiv:1003.5209 [quant-ph] (2010)
Original
2010
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