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Advanced witnesses product (BL-44)

Fail-closed product surface for estimator-aware scientific diagnostics: Krylov complexity, out-of-time-order correlators (OTOC), and classical shadows, with uncertainty and provenance — beyond energy and scalar order parameters.

Module

scpn_quantum_control.advanced_witnesses_product

Schema: advanced_witnesses_product.v1

Ambient (inventory-first)

Ambient Role
analysis.krylov_complexity.krylov_complexity Operator Lanczos Krylov complexity K(t)
analysis.otoc.compute_otoc OTOC F(t), Lyapunov / scrambling-time estimates
analysis.shadow_tomography.classical_shadow_estimation Classical-shadow Pauli estimators
phase.synchronisation_witness.harmonic_order_parameter BL-18 compose (order parameter)

Do not reimplement these modules; the product is a thin façade.

Capabilities

  • krylov_complexity — bounded unitary Krylov diagnostic
  • otoc_probe — supported gate-model / Kuramoto-XY OTOC probe
  • classical_shadows — Pauli shadow estimator with shadow-norm bound
  • small_tomography_cap — tomography only under product qubit cap
  • ambient_inventory — metadata inventory of ambient modules
  • bl18_sync_compose — compose harmonic order parameter (BL-18)

Hard caps

Cap Value
MAX_WITNESS_QUBITS 6
MAX_DEMO_SHADOW_SHOTS 200
MIN_SHADOW_SHOTS 16 (below → support_status=under_sampled)

Refuse invent-green

  • OTOC quantum advantage claims
  • Topology / topological-phase certification
  • Live QPU witness campaigns
  • Unrestricted shadow tomography without support profile
  • Silent green on under-sampled shadows

Entry points

from scpn_quantum_control.advanced_witnesses_product import (
    assert_advanced_witnesses_product_integrity,
    build_advanced_witnesses_product_registry,
    decide_witness_path,
    materialise_demo_krylov_probe,
    materialise_demo_otoc_probe,
    materialise_demo_shadow_probe,
    materialise_bl18_order_parameter_compose,
)

reg = assert_advanced_witnesses_product_integrity(
    build_advanced_witnesses_product_registry()
)
assert decide_witness_path("otoc", invent_green_otoc_advantage=True).allowed is False
k = materialise_demo_krylov_probe()
o = materialise_demo_otoc_probe()
s = materialise_demo_shadow_probe()
r = materialise_bl18_order_parameter_compose()

Residuals (honest)

  • S44.6 — full suite evidence artefact depth (beyond single probes)
  • S44.7 — optional BL-32 metric registration + BL-34 panel hooks

Claim boundary

Advanced witnesses product surface only; catalogues Krylov/OTOC/classical-shadow estimators with uncertainty and provenance over ambient analysis/*; small-system probes with hard qubit/shot caps; refuse invent-green OTOC advantage, topology certification, live QPU witness campaigns, and unrestricted shadow tomography; compose BL-18 order parameters; residual S44.7 / S44.6 open honestly.

Authored by Anulum Fortis & Arcane Sapience (protoscience@anulum.li)