Quantum / CONCEPT
Trace Pairings for Weyl Displacement Words
Weyl displacement words have trace M at the zero index and zero trace elsewhere; their trace pairings are M at equal indices and zero otherwise.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES4
PROOF DEPTH4
DOCUMENT LINKS1
Vanishing trace away from the origin
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Genuine entanglement and commutation ranktruth-dependency · Closed
- Subspace average linear stabilizer entropy and fourth-moment cycle tracestruth-dependency · Closed
- The Perito Bell bound and its attaining strategytruth-dependency · Closed
- Zero-magic-gap three-dimensional subspaces in every power-of-two dimensiontruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A mixed-sign Gaussian refutes Galindo–Rowell Conjecture 10.6structural-affinity · Closed
- A Regular Unit-Circle Sum Boundstructural-affinity · Closed
- Arithmetic of the Weyl Window Rootstructural-affinity · Closed
- Conjugation of Weyl Displacement Wordsstructural-affinity · Closed
- Extrinsic terms and positive stabilizer-entropy gaps of the parity sectorsstructural-affinity · Closed
- Genuine entanglement and commutation rankstructural-affinity · Closed
- Parity-sector Clifford reduction and diagonal cosine fourth momentsstructural-affinity · Closed
- Powers of Weyl Displacement Wordsstructural-affinity · Closed
- SIC fiducials beyond Clifford-stabilizer statesstructural-affinity · Closed
- Subspace average linear stabilizer entropy and fourth-moment cycle tracesstructural-affinity · Closed
- The Adjoint of a Weyl Displacement Wordstructural-affinity · Closed
- The Perito Bell bound and its attaining strategystructural-affinity · Closed
- Two-Torsion Weyl Displacement Identitiesstructural-affinity · Closed
- Unitary spectral blocks and the tensor boundstructural-affinity · Closed
- Weyl Displacement Words over a Finite Cyclic Windowstructural-affinity · Closed
- Zero-magic-gap three-dimensional subspaces in every power-of-two dimensionstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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