Quantum Boltzmann Machine: Annealed Generative Sampling

A quantum Boltzmann machine draws its training samples not from thermal noise alone but from a physical quantum annealing schedule: a transverse-field term that starts strong enough to put every qubit into superposition, then is dialled down while an Ising coupling is dialled up, freezing the lattice into low-energy configurations. This simulator renders a live 6×6 qubit lattice under a mean-field solution of that schedule in 3D — tune the coupling, initial transverse field and temperature, run the anneal and watch spins settle from a quantum-disordered haze into ordered domains, then draw samples and compare their energy distribution against a purely classical Boltzmann machine run with the same coupling and temperature but no quantum fluctuations.