Quantum / CONCEPT
A nonuniform fixed point on every even hypercube
For every even dimension d at least four, the all-plus spin-coupled Grover operator has a nonzero fixed vector with nonconstant position weights. A product of signed coordinate-pair indicators supplies an explicit vector on three adjacent Hamming layers.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH6
DOCUMENT LINKS0
Summing two constant values
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
- ChannelTimeReversalNoGostructural-affinity · Closed
- CHSH Square under Local Commutativitystructural-affinity · Closed
- Landau Identity for Finite Matrix Observablesstructural-affinity · Closed
- Nonviolation of CHSH for all high-spin componentsstructural-affinity · Closed
- Order-three Renyi information combiningstructural-affinity · Closed
- Positive Pauli Clock Orderstructural-affinity · Closed
- Reduced Record Access Defectstructural-affinity · Closed
- Spin covariance and Dicke coordinatesstructural-affinity · Closed
- The three-distinguishability product conjecture failsstructural-affinity · Closed
- Two-classical dephasing without an unbiased measurementstructural-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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