Quantum / CONCEPT
Parity-sector Clifford reduction and diagonal cosine fourth moments
Qudit parity sectors in odd dimensions, canonical orthonormal frames and projectors, parity-commuting Clifford reduction of Weyl labels to pure clock powers, diagonal cosine compressions and power sums, and closed-form Haar fourth moments of nonzero Weyl labels.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH6
DOCUMENT LINKS0
Parity involution, canonical sector bases, dimensions, and isometry invariance
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Extrinsic terms and positive stabilizer-entropy gaps of the parity sectorsstructural-affinity · Closed
- Genuine entanglement and commutation rankstructural-affinity · Closed
- ProductPrefixRigiditystructural-affinity · Closed
- PurifiedLocalPathstructural-affinity · Closed
- Subspace average linear stabilizer entropy and fourth-moment cycle tracesstructural-affinity · Closed
- The steering substitution need not preserve powersstructural-affinity · Closed
- Trace Pairings for Weyl Displacement Wordsstructural-affinity · Closed
- Two-Torsion Weyl Displacement Identitiesstructural-affinity · Closed
- Zero-magic-gap three-dimensional subspaces in every power-of-two dimensionstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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