Quantum / CONCEPT
SIC fiducials beyond Clifford-stabilizer states
The special Clifford group of a qutrit is finite, and its eigenphase extension has only finitely many one-dimensional fixed spaces. The continuous qutrit SIC family supplies infinitely many distinct pure-state projectors. Consequently, some SIC fiducials are not Clifford-stabilizer states.
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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH3
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Finiteness of the special qutrit Clifford group
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- A mixed-sign Gaussian refutes Galindo–Rowell Conjecture 10.6structural-affinity · Closed
- A Regular Unit-Circle Sum Boundstructural-affinity · Closed
- Conjugation of Weyl Displacement Wordsstructural-affinity · Closed
- Finite Autocorrelationstructural-affinity · Closed
- Powers of Weyl Displacement Wordsstructural-affinity · Closed
- Sharp half-circle sign sums and signed rotationsstructural-affinity · Closed
- The Adjoint of a Weyl Displacement Wordstructural-affinity · Closed
- Trace Pairings for Weyl Displacement Wordsstructural-affinity · Closed
- Two-Torsion Weyl Displacement Identitiesstructural-affinity · Closed
- Weyl Displacement Words over a Finite Cyclic Windowstructural-affinity · Closed
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