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๐ŸŸข Cluster1D/Energy/Infinite

Provisional v2 view โ€” RES not wired

Generated by docs/atlas/generate.jl โ€” a pure VIEW over the *_registry.jl claims + the static test/INVENTORY.jsonl AST scan. No test is executed and no src is run; test/INVENTORY.jsonl is regenerated in-place (idempotently) from that static scan; fetch/@register untouched. Assurance labels are PROVISIONAL: residuals / confidence are not shown yet (RES not wired). Badges reflect the committed test AST, not the latest CI run โ€” a hub can read green while its @test is red between regenerations. @sweep = a graceful regime-resolution gap, not card omission.

Assurance level: corroborated-at-p

Independently corroborated. See the cards below.

src claim

  • method analytic, status exact, reliability high, refs: BriegelRaussendorf2001
  • E_0/N = -J; ground state is the cluster state (stabiliser model).

Corroboration

regimemechanismindependencerefsfile
@clustersecond_closed_form๐ŸŸข structuralCluster-state Hamiltonian: e0 = -J (exact stabiliser ground state)test/models/quantum/misc/test_cluster1d.jl
@clustersecond_closed_form๐ŸŸข structuralCluster-state Hamiltonian: e0 = -J (exact stabiliser ground state)test/models/quantum/misc/test_cluster1d.jl
@clustersecond_closed_form๐ŸŸข structuralCluster-state Hamiltonian: e0 = -J (exact stabiliser ground state)test/models/quantum/misc/test_cluster1d.jl
@clustersecond_closed_form๐ŸŸข structuralBriegel-Raussendorf 2001: cluster state is +1 eigenstate of every K_i โ‡’ Eโ‚€/N = -Jtest/models/quantum/misc/test_cluster1d.jl
@clustersecond_closed_form๐ŸŸข structuralBriegel-Raussendorf 2001: cluster state is +1 eigenstate of every K_i โ‡’ Eโ‚€/N = -Jtest/models/quantum/misc/test_cluster1d.jl
@clustersecond_closed_form๐ŸŸข structuralBriegel-Raussendorf 2001: cluster state is +1 eigenstate of every K_i โ‡’ Eโ‚€/N = -Jtest/models/quantum/misc/test_cluster1d.jl
@clustersecond_closed_form๐ŸŸข structuralBriegel-Raussendorf 2001: cluster state is +1 eigenstate of every K_i โ‡’ Eโ‚€/N = -Jtest/models/quantum/misc/test_cluster1d.jl

Test calls

The exact verify(...) call the harness executed for this hub (reconstructed from the test AST):

verify(Cluster1D(; 0.5 = 0.5), Energy(:per_site), Infinite(); route = :second_closed_form, independent = -0.5, agree_within = 1.0e-12, refs = ["Cluster-state Hamiltonian: e0 = -J (exact stabiliser ground state)"])
verify(Cluster1D(; 1.0 = 1.0), Energy(:per_site), Infinite(); route = :second_closed_form, independent = -1.0, agree_within = 1.0e-12, refs = ["Cluster-state Hamiltonian: e0 = -J (exact stabiliser ground state)"])
verify(Cluster1D(; 3.0 = 3.0), Energy(:per_site), Infinite(); route = :second_closed_form, independent = -3.0, agree_within = 1.0e-12, refs = ["Cluster-state Hamiltonian: e0 = -J (exact stabiliser ground state)"])
verify(Cluster1D(; 0.5 = 0.5), Energy(:per_site), Infinite(); route = :second_closed_form, independent = -0.5, agree_within = 1.0e-12, refs = ["Briegel-Raussendorf 2001: cluster state is +1 eigenstate of every K_i โ‡’ Eโ‚€/N = -J"])
verify(Cluster1D(; 1.0 = 1.0), Energy(:per_site), Infinite(); route = :second_closed_form, independent = -1.0, agree_within = 1.0e-12, refs = ["Briegel-Raussendorf 2001: cluster state is +1 eigenstate of every K_i โ‡’ Eโ‚€/N = -J"])
verify(Cluster1D(; 2.0 = 2.0), Energy(:per_site), Infinite(); route = :second_closed_form, independent = -2.0, agree_within = 1.0e-12, refs = ["Briegel-Raussendorf 2001: cluster state is +1 eigenstate of every K_i โ‡’ Eโ‚€/N = -J"])
verify(Cluster1D(; 3.7 = 3.7), Energy(:per_site), Infinite(); route = :second_closed_form, independent = -3.7, agree_within = 1.0e-12, refs = ["Briegel-Raussendorf 2001: cluster state is +1 eigenstate of every K_i โ‡’ Eโ‚€/N = -J"])

Assurance (provisional)

  • level: corroborated-at-p ๐ŸŸข
  • cards: 7 ยท model ED-feasible
  • RES not wired โ€” measured residuals / confidence are not shown yet.

โ† Model: Cluster1D ยท Quantity: Energy ยท Atlas index