Computational Projects and Software Examples

Complex systems cleanup

Classic computational examples

I am doing some cleanup on older complex systems projects I did as a student. I will transform them into notebook examples with plots, results, and short explanations that can sit next to written posts summarizing the contents in these projects.

• Kuramoto model Notebook and article for synchronization, order parameters, the transition from incoherence to collective phase locking, and Watts-Strogatz network extensions.
  Rendered notebook Source notebook Article
  Notebook available Article available
• Watts-Strogatz model Notebook scaffold for small-world networks, rewiring, clustering coefficients, and characteristic path lengths.
  Notebook planned Results planned
• Cellular automata and Game of Life Notebook scaffold for local update rules, pattern formation, still lifes, oscillators, and emergent behavior.
  Notebook planned Results planned

Quantum-inspired methods

Tensor-network methods for single-particle problems

Notebook scaffold for an informal explanation of tensor-network tools in single-particle tight-binding problems: compression, structured Hamiltonians, spectral quantities, and why these methods are useful for large matrix problems.

Hamiltonian learning

Simple fermionic-chain inverse problem

Notebook scaffold for a minimal Hamiltonian-learning workflow: simulate a simple fermionic chain, generate observables or spectra, train a small model to infer Hamiltonian parameters, and visualize the prediction quality.

Course-adjacent examples

Quantum-science project material

Computational project sheets and examples connected to machine learning from and for quantum science are collected on the teaching page, with project PDFs grouped by topic.