API Reference

The GEOPE library is organised into the following modules:

Module	Description
parameters	The Parameters state object — the central hub of the Basis → Parameters → Optimizer pipeline, and the source of the (lazily built, cached) optimisation functions.
geope	The top-level Geope optimiser for geodesic quantum gate synthesis.
gecko	The Gecko null-space ("auxiliary cost") optimiser for refining GEOPE solutions.
engine	Pure function factories for the optimisation primitives (unitary, fidelity, geodesic, Jacobian, Hessian, gammas/omegas).
lie	Lie-algebraic building blocks: Basis, Hamiltonian, and Unitary.
utils	Utility functions for constructing Pauli/spin-boson bases, optimisation line searches, and other helpers.