Translation Groups on [0,1]Covers the study of translation groups on the interval [0,1] with different phases and the Riesz representation theorem on Hilbert space.
Quantum Physics IExplores quantum state evolution, unitary operators, Heisenberg representation, spin precession, and observable averages.
Postulates of Quantum MechanicsExplores the postulates of Quantum Mechanics, including states, observables, composite systems, Schrödinger equation, and entangled states.
Quantum Physics IIntroduces quantum physics postulates, measurement principles, and operator transformations between bases.
Linear Algebra: Quantum MechanicsExplores the application of linear algebra in quantum mechanics, emphasizing vector spaces, Hilbert spaces, and the spectral theorem.
Order finding algorithmExplores the order finding algorithm, focusing on efficiently finding the period modulo N using Quantum Phase Estimation and C-U gates.