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added this pointer:
have added (here) statement and verification of the following observation (which may, or may not, better be kept in another entry, such as at parastatistics, not sure):
The unitarization of the standard representation of the symmetric group Sym3 has two generating transpositions represented by (what in quantum information theory is called)
the Pauli Z-gate Z,
the rotation gate Ry(8π/3)=−Ry(2π/3).
(After looking through the literature, I feel that this kind of analysis of unitarized symmetric group irreps in terms of standard quantum gates is both relevant and has been missing.)
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