Quantum / CONCEPT
The spectral gap of a connected Hamming-weight gate pattern
Connected patterns of polynomially many Hamming-weight-preserving gates have an inverse-polynomial spectral gap at fixed weight.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH15
DOCUMENT LINKS0
An inverse-polynomial bound for every connected pattern family
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- A Common Embedding for All Prefix Eventsstructural-affinity · Closed
- Adjacent Prime-Height Profile Exchangestructural-affinity · Closed
- Arith: Arithmetic Coordinatesstructural-affinity · Closed
- Arith: Probabilitystructural-affinity · Closed
- Edge Transposition Generationstructural-affinity · Closed
- Height-Coded Prime Absorptionstructural-affinity · Closed
- Rendezvous vector systemsstructural-affinity · Closed
- The quantum gap in hypercube rendezvousstructural-affinity · Closed
- Union Conditioning on One Common Regular Subtreestructural-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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