Quantum / CONCEPT
Clifford transformations can change the autocorrelation operator norm
In dimension five, a Fourier Clifford changes the Euclidean operator norm of the matrix of cyclic MUB probability autocorrelations.
Closed
DIRECT PREREQUISITES7
DIRECT CONSEQUENCES1
PROOF DEPTH6
DOCUMENT LINKS0
Powers of the cyclic shift
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- Exact Matrix Units from a Finite Weyl Pairtruth-dependency · Closed
- Overlapping pairs refute the twirling phase index formulatruth-dependency · Closed
- Ququint Wigner Critical Geometrytruth-dependency · Closed
- Step Inputs2truth-dependency · Closed
- The Fourier LDOI LOCC lower bound is not tighttruth-dependency · Closed
- The k-positive region of the diagonal-perturbed Tomiyama mapstruth-dependency · Closed
- Zero-magic-gap three-dimensional subspaces in every power-of-two dimensiontruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Exact Matrix Units from a Finite Weyl Pairstructural-affinity · Closed
- Extrinsic terms and positive stabilizer-entropy gaps of the parity sectorsstructural-affinity · Closed
- Overlapping pairs refute the twirling phase index formulastructural-affinity · Closed
- Ququint Numerical Certificate Datastructural-affinity · Closed
- Ququint Wigner Critical Geometrystructural-affinity · Closed
- Step Inputs2structural-affinity · Closed
- The Fourier LDOI LOCC lower bound is not tightstructural-affinity · Closed
- The k-positive region of the diagonal-perturbed Tomiyama mapsstructural-affinity · Closed
- The steering substitution need not preserve powersstructural-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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