Quantum / CONCEPT
Zero-magic-gap three-dimensional subspaces in every power-of-two dimension
For every qudit dimension divisible by four, and so for every power of two at least four, some three-dimensional subspace has zero average stabilizer entropy gap.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES1
PROOF DEPTH5
DOCUMENT LINKS0
Entries of an unphased Weyl displacement
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
- Clifford transformations can change the autocorrelation operator normstructural-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
- Parity-sector Clifford reduction and diagonal cosine fourth momentsstructural-affinity · Closed
- Pentagon Cosinesstructural-affinity · Closed
- Powers of Weyl Displacement Wordsstructural-affinity · Closed
- ProductPrefixRigiditystructural-affinity · Closed
- PurifiedLocalPathstructural-affinity · Closed
- Subspace average linear stabilizer entropy and fourth-moment cycle tracesstructural-affinity · Closed
- The Fourier LDOI LOCC lower bound is not tightstructural-affinity · Closed
- The steering substitution need not preserve powersstructural-affinity · Closed
- Trace Pairings for Weyl Displacement Wordsstructural-affinity · Closed
Documents & exposition
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Other authored & advisory relationships
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LIBRARY / RELEASE VERSIONS
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