Quantum / CONCEPT
Pronko's Dyck-class operator commutes with the periodic Fredkin Hamiltonian
Spin words of the periodic Fredkin chain are read as lattice paths and sorted into Dyck classes. Pronko's diagonal operator Xi weights the balanced classes by alternating signs, and it commutes with the periodic Fredkin Hamiltonian.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH2
DOCUMENT LINKS0
Xi commutes with the Hamiltonian
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
- Address-Record Correlation Monogamystructural-affinity · Closed
- Finite Record Conditioningstructural-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
- Non-cyclic periodic Fredkin eigenstates are annihilatedstructural-affinity · Closed
- Pronko's operators as finite anti-adjoint expansionsstructural-affinity · Closed
- Spectral powers and matrix positivitystructural-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
Content history
Loading release versions...
Browse the archiveCertified provenance