Lectures related to Controlling Quantum Matter with Light

Hilbert Space: State, Evolution, Measurement

Introduces Hilbert space as a big place where quantum systems evolve with unitaries.

Scattering Theory: Local Interactions and Quantum Physics

Covers the concept of scattering theory and its application to non-relativistic collisions and collider experiments.

Quantum Principles

Covers the fundamental principles of quantum computing and unitary evolution in quantum systems.

Quantum Dynamics: Spectral Decomposition

Explores the spectral decomposition of Hilbert space and its implications in quantum dynamics.

Quantum Bits: Illustrations and Postulates

Explores quantum bits, including illustrations, postulates, and examples of quantum systems and Hilbert space.

Quantum Information Principles

Covers the mathematical principles of quantum physics, including Hilbert spaces and quantum bits.

Quantum Simulation with Cold Atoms

Covers the principles of quantum simulation with cold atoms, including optical dipole potentials and Feshbach resonances.

Quantum circuit model of computation

Covers the Cincent Model of Deutsch for Quantum Computation, focusing on input representation, Hilbert space, and unitary evolution.

Quantum Bits: Axioms and Examples

Explores quantum bits, axioms, examples, Shor algorithm, measurements, Hilbert space, and dynamics.

Illustration of Quantum Bits

Covers the postulates of Quantum Mechanics and examples with quantum bits, including observables and unitary matrices.

Quantum Simulation: Optical Lattices

Explores analog quantum simulation using optical lattices to control kinetic energy and create complex band structures.

Quantum Computation: Mechanisms and Advantages of Restricted Models

Covers the mechanisms behind quantum computation and explores the advantages of restricted computational models.

Crash Course on Quantum Mechanics

Covers fundamental concepts in quantum mechanics, including vector spaces, superposition, observables, and inner product.

Linear Quantum Calculus in Dirac Notation

Covers linear algebra in Dirac notation, emphasizing the scalar product and density product in quantum computations.

Quantum Mechanics: Measurement

Covers the axioms of quantum mechanics and the measurement of quantities in a quantum system.

Simon Problem: Quantum Algorithm and Hilbert Space

Covers Simon's quantum algorithm, unitary operations, and the Simon problem.

Quantum Chemistry Simulation

Discusses the need for Quantum Computers in simulating Quantum Chemistry and explores physically implementing them.

Photonic Links for Rydberg Atom Arrays: Quantum Networking

Covers advancements in photonic links for Rydberg atom arrays in quantum networking.

Quantum Learning: Complexity and Predictive Models

Covers the complexity and learnability in complex quantum systems, focusing on quantum advantages in learning and predicting properties of quantum states.

Quantum Information Elements

Covers the fundamentals of quantum information, including quantum simulation and logic gates.