Quantum / CONCEPT
Non-cyclic periodic Fredkin eigenstates are annihilated
The periodic Fredkin Hamiltonian and Pronko's nonlocal operators are represented on the spin-word basis. The cyclic-shift absorption identity then forces both nonlocal operators to vanish on every non-cyclic invariant eigenstate.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES4
PROOF DEPTH1
DOCUMENT LINKS0
Conjecture 1 holds
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Noisy entanglement curvature can exceed quantum Fisher informationtruth-dependency · Closed
- Pronko's Dyck-class operator commutes with the periodic Fredkin Hamiltoniantruth-dependency · Closed
- Pronko's operators as finite anti-adjoint expansionstruth-dependency · Closed
- The complementary W-state effect is not fully separabletruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A power-mean counterexample in the Euclidean operator normstructural-affinity · Closed
- Address-Record Correlation Monogamystructural-affinity · Closed
- An Exact Qutrit Quartic-Context Witnessstructural-affinity · Closed
- Deterministic Readout Commutativitystructural-affinity · Closed
- Exact Additive Pricing and Higher-Degree Pruningstructural-affinity · Closed
- Finite Record Conditioningstructural-affinity · Closed
- Finite-Dimensional Quantum Skeletonsstructural-affinity · Closed
- First-level inexactness on the weighted-crown intervalstructural-affinity · Closed
- Gingrich's proposed three-qubit monotone increases on average under a local measurementstructural-affinity · Closed
- Local-unitary inequivalence of two weight-isometric pairs of stabilizer codesstructural-affinity · Closed
- Noisy entanglement curvature can exceed quantum Fisher informationstructural-affinity · Closed
- Pronko's Dyck-class operator commutes with the periodic Fredkin Hamiltonianstructural-affinity · Closed
- Pronko's operators as finite anti-adjoint expansionsstructural-affinity · Closed
- The complementary W-state effect is not fully separablestructural-affinity · Closed
- The spectral geometric Log-Euclidean comparison failsstructural-affinity · Closed
- Weighted crown moment certificatestructural-affinity · Closed
- Weighted crown spectral boundstructural-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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