Courses
The public catalog reflects the same published courseware edited from the admin dashboard.
14 courses in the active curriculum
Methods, geometry, topology, and symmetry language.
A focused mathematical toolkit for quantum research: vector spaces, operators, spectra, complex methods, Fourier analysis, probability, distributions, and functional-analysis habits.
A physics-first route through manifolds, Lie groups, representations, topology, fiber bundles, gauge connections, and Berry phase.
Core mechanics and formal reasoning for quantum systems.
State vectors, wavefunctions, measurement, dynamics, spin, identical particles, approximations, and interpretations with concise derivations and checks.
Qubits, algorithms, noise, control, and error correction.
Qubits, entanglement, density matrices, channels, entropy, nonlocality, teleportation, cryptography, and quantum networks.
Circuit computation, oracles, quantum Fourier transform, phase estimation, Shor, Grover, simulation, VQE, QAOA, complexity, and benchmarking.
Open systems, noise channels, master equations, control, stabilizers, syndrome extraction, surface codes, fault tolerance, and error mitigation.
Condensed matter, quantum materials, phases, and platforms.
Second quantization, lattice models, symmetry breaking, phase transitions, entanglement, tensor networks, topological order, and numerical methods.
Crystal and reciprocal lattices, Bloch theorem, band structure, tight binding, quasiparticles, correlated materials, topological insulators, superconductivity, 2D systems, defects, and materials for qubits.
QFT, QED, QCD, spinors, and relativistic structures.
Classical fields, quantization, path integrals, propagators, perturbation theory, symmetries, gauge fields, renormalization, and effective field theories.
Dirac spinors, U(1) gauge symmetry, quantized electromagnetic fields, electron-photon vertices, scattering, Ward identities, loops, and precision tests.
Color SU(3), non-Abelian gauge fields, gluon self-interaction, running coupling, confinement, partons, lattice QCD, chiral symmetry, jets, and effective theories.
Lorentz and Poincare symmetry, Weyl/Dirac/Majorana spinors, Clifford algebras, relativistic scattering, twistors, instantons, monopoles, anomalies, and topological terms.
Paper reading, reproducibility, scientific writing, and capstone design.
Literature maps, paper reading, derivation reproduction, numerical experiments, reproducibility, lattice ideas, theory-experiment connection, scientific writing, ethics, preprints, and capstone design.
Attributed open courseware integrated into QuantumSpark with license and source metadata.
A clearly attributed QuantumSpark integration of the TU Delft / TOPOCMx open course structure. This entry links and organizes the original open course for study inside QuantumSpark while preserving source attribution and license boundaries.