Advanced witnesses product¶

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`	Harmonic synchronisation 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
synchronisation_witness_compose — compose the harmonic order parameter

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_harmonic_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_harmonic_order_parameter_compose()

Residuals¶

Full-suite evidence artefacts beyond the individual demonstration probes.
Optional challenge-metric registration and dashboard panel integration.

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; composes the harmonic synchronisation order parameter; the full-suite evidence and optional challenge/dashboard integrations remain open.

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