Quantum / CONCEPT
Adjacency transfer through uniform clone matchings
Integral adjacency support gives perfect state transfer at pi/2 after adding the same perfect matching in every clone set.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES0
PROOF DEPTH5
DOCUMENT LINKS0
Perfect state transfer across each matching edge above v
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 square-discriminant obstruction for the Pascalian polynomial of degree 49structural-affinity · Closed
- Divided differences over even and odd integer nodes are 2-adic unitsstructural-affinity · Closed
- Early state exclusion in seven-site transfer chains with symmetric spectrumstructural-affinity · Closed
- Finite Alternating Paths and Endpoint Pairingstructural-affinity · Closed
- Infinitely many non-star trees admit Laplacian peak state transferstructural-affinity · Closed
- Interior perfect state transfer without endpoint transferstructural-affinity · Closed
- Middle-edge spectral weights, integer moments and Gram identity of even paths with end transfer at time pistructural-affinity · Closed
- Middle-vertex spectral weights and integer moments of odd paths with end transfer at time pistructural-affinity · Closed
- No perfect state transfer at time pi on rational paths with 2^k + 1 verticesstructural-affinity · Closed
- No perfect state transfer at time pi on rational paths with 2m vertices, m = 2 mod 4 or m = 3, 5 mod 8structural-affinity · Closed
- No perfect state transfer at time pi on rational paths with an odd number of verticesstructural-affinity · Closed
- Perfect Matching Countstructural-affinity · Closed
- Sharp global spectral bound for root-to-leaf Laplacian transfer on two-level treesstructural-affinity · Closed
- Sharp return probabilities for conference graphsstructural-affinity · Closed
- Spectrum and first-site amplitude of seven-site transfer chains with symmetric spectrumstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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