Lectures related to Stochastic Numerical Methods for Quantum Systems

Explores density matrices, quantum states representation, and entropy in quantum information.

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

Vectorization in Python: Efficient Computation with Numpy

Covers vectorization in Python using Numpy for efficient scientific computing, emphasizing the benefits of avoiding for loops and demonstrating practical applications.

Principles of Quantum Mechanics

Covers the principles of quantum mechanics, including the Measurement Principle and Max Born Rule.

Density Operator: Quantum Physics II

Covers the concept of matrix to the density operator in quantum physics.

Matrix to Density Operator

Explains the transformation from a matrix to the density operator in quantum physics.

Numerical Analysis: Linear Systems

Covers the analysis of linear systems, focusing on methods such as Jacobi and Richardson for solving linear equations.

Quantum Information Theory: Basics and Quantum States

Covers the basics of quantum information theory, focusing on classical and quantum states, evolutions, and measurements.

Jacobi and Gauss-Seidel methods

Explains the Jacobi and Gauss-Seidel methods for solving linear systems iteratively.

Hamiltonian of Heisenberg: Interaction and Energy Levels

Covers the Hamiltonian of Heisenberg and the interaction between classical magnetic moments.

Quantum Bits: Illustrations and Postulates

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

The Density Matrix Formalism

Explores the density matrix formalism in quantum mechanics, including entanglement and properties of the density matrix.

Quantum Information: Polarisation and Degrees of Freedom

Explores quantum polarisation, elasticity, and spatial structure of wave functions.

Quantum Information: Young's Double-Slit Experiment

Explores Young's double-slit experiment and the behavior of quantum particles.

Quantum Natural Gradient: Optimization Methods in Quantum Computing

Explores Quantum Natural Gradient optimization in quantum computing and the importance of choosing the right ansatz.

Quantum Information: Spin and Magnetic Moments

Explores the formalism of quantum moments and Pauli matrices in spin systems.

Density Operator: Matrix to the System State

Explores density operator matrix transformation in quantum physics and the implications of measuring the system, leading to state collapse.

Quantum Information: Magnetic Moments and Spin

Explores quantum information on magnetic moments, spin, observable properties, and photon polarization, emphasizing matrices' role in quantum measurements.

Quantum Information: Principles and Applications

Explores quantum information principles, including Larmor precession and quantum states evolution in magnetic fields.

Quantum Information: Elements of Quantum Information

Explores quantum information, logic gates, and the Deutsch algorithm in quantum software engineering.