Wednesday, December 12, 2012

1212.2378 (Yaroslav Pavlyukh et al.)

1, 2, and 6 qubits, and the Ramanujan-Nagell theorem    [PDF]

Yaroslav Pavlyukh, A. R. P. Rau
A conjecture of Ramanujan that was later proved by Nagell is used to show on the basis of matching dimensions that only three $n$-qubit systems, for $n=1, 2, 6$, can share an isomorphism of their symmetry groups with the rotation group of corresponding dimensions $3, 6, 91$. Topological analysis, however, rules out the last possibility.
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