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Geometric quantum control product (BL-50)

Geometry of quantum control for synchronisation: QFI / McLachlan metric / QNG catalogue, local metric spectrum diagnostics, and regularised natural- gradient direction probes. No experimental advantage claims at criticality.

Module: scpn_quantum_control.geometric_control_product

Rules

Rule Behaviour
Product schema geometric_control_product.v1
Ambient metric phase.variational_metric.mclachlan_metric
Ambient QNG phase.natural_gradient.solve_natural_gradient_direction (BL-13)
Experimental advantage at criticality Refuse invent-green
Live QPU geometry Refuse invent-green (BL-47)
Indefinite metric silent repair Refuse invent-green

Glossary (S50.0)

QFI · Fubini_Study_McLachlan · QNG · criticality

Quick start

from scpn_quantum_control.geometric_control_product import (
    assert_geometric_control_product_integrity,
    build_geometric_control_product_registry,
    decide_geometry_path,
    materialise_demo_metric_diagnostics_probe,
    materialise_qng_direction_probe,
)

reg = assert_geometric_control_product_integrity(
    build_geometric_control_product_registry()
)
assert reg["experimental_advantage_criticality_policy"] is False

assert decide_geometry_path(
    "criticality_diagnostics", invent_green_advantage=True
).allowed is False

probe = materialise_demo_metric_diagnostics_probe()
assert probe.metric_rank + probe.metric_nullity == probe.n_parameters

qng = materialise_qng_direction_probe()
assert qng.regularization_reason

Residuals (honest)

  • S50.5 — BL-34 metric spectrum dashboard panel depth
  • S50.6 — BL-40 notebook + fuller claim-bounded narrative docs
  • Pack: docs/internal/differentiable_programming/p3_strategic/bl50_geometric_quantum_control_qfi.md
  • Ambient: phase.variational_metric, phase.natural_gradient, analysis.qfi
  • BL-13 QNG regularisation · BL-47 hardware-safe · BL-71 PGBO (compose later)

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