Lectures related to Simon's Problem

Explores secure delegation of quantum computation tasks to external servers while ensuring data privacy and integrity.

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Quantum Computing: Qubit Testing

Covers classical testing of qubits, including measuring in different bases and obtaining uniform results.

Linear Regression: Statistical Inference Perspective

Explores linear regression from a statistical inference perspective, covering probabilistic models, ground truth, labels, and maximum likelihood estimators.

Correctness and Soundness of the Qubit Test

Explores the correctness and soundness of the Qubit Test, emphasizing probabilistic algorithms, trapdoors, and function inversion.

Analysis IV: Convolution and Hilbert Structure

Explores convolution, uniform continuity, Hilbert structure, and Lebesgue measure in analysis.

Determinantal Point Processes and Extrapolation

Covers determinantal point processes, sine-process, and their extrapolation in different spaces.

Simon Problem 4: Quantum State and Complexity Analysis

Explores the Simon Problem 4, analyzing quantum states and algorithm complexity.

Probability Theory: Integration and Convergence

Covers topics in probability theory, focusing on uniform integrability and convergence theorems.

Circular Trigonometry: Understanding Geometric Angles

Explores the concept of angles in circular trigonometry, emphasizing geometric angles and their properties.

Basis Sets II: Types and Accuracy

Explores different types of basis sets, polarization functions, and accuracy challenges in computational chemistry.

Independence and Products

Covers independence between random variables and product measures in probability theory.

Quantum circuit model of computation

Explores the quantum circuit model of computation, focusing on unitary gates and multi-controlled gates.

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Measure Spaces: O-Finite and Probability Measures

Explores o-finite and finite measure spaces, probability measures, and inequalities, concluding with LP space completeness.

Advanced Physics I: Introduction to Mechanics

Introduces the basics of physics, including mechanics and making predictions based on observations and hypotheses.

Coulomb Gas and Spin Chain: Quantum Group Applications

Explores the relationship between Coulomb gas models and spin chains in quantum groups.

Bases: Linear Combinations and Function Spaces

Explores bases in vector spaces, including linear combinations, orthogonal bases, and basis transformations using rotation matrices.

Measure Spaces: Integration and Inequalities

Covers measure spaces, integration, Radon-Nikodym property, and inequalities like Jensen, Hölder, and Minkowski.

AutoCAD 3D Modeling Basics

Introduces the fundamentals of 3D modeling in AutoCAD, covering commands for creating and manipulating objects.