Institute for Pure & Applied Mathematics (IPAM) Courses

Sophia Economou - Problem-Tailored Variational Quantum Algorithms - IPAM at UCLA

Explore problem-tailored variational quantum algorithms, including symmetry-preserving circuits, ADAPT-VQE, and ctrl-VQE, for improved performance in quantum simulations.

• YouTube
• 40 minutes
• Self-Paced
• Free Video

Arithmetic Tensor Networks and Integration - IPAM at UCLA

Explore arithmetic tensor networks and their applications in function integration, with insights on exact and approximate contraction methods and their implications for various mathematical problems.

• YouTube
• 32 minutes
• Self-Paced
• Free Video

Optimal Scaling Quantum Linear Systems Solver via Discrete Adiabatic Theorem

Explore optimal quantum linear systems solver using discrete adiabatic theorem, achieving linear complexity in condition number and precision, with simplified implementation and constant factor analysis.

• YouTube
• 41 minutes
• Self-Paced
• Free Video

Improved Complexity Estimation for Hamiltonian Simulation with Trotter Formula

Explore improved complexity estimation for Hamiltonian simulation using Trotter formula, focusing on time-dependent effective mass and near adiabatic dynamics scenarios with potential for enhanced efficiency.

• YouTube
• 39 minutes
• Self-Paced
• Free Video

On Quantum Linear Algebra for Machine Learning - IPAM at UCLA

Explore quantum singular value transformation for machine learning, its applications, limitations, and connections to classical algorithms in this technical talk on quantum linear algebra.

• YouTube
• 35 minutes
• Self-Paced
• Free Video

Dequantization and Quantum Advantage in Learning from Experiments - IPAM at UCLA

Explore quantum advantage in data processing, learning from experiments, and dequantization. Discover how quantum technology can revolutionize experimental data acquisition and analysis in various scientific tasks.

• YouTube
• 32 minutes
• Self-Paced
• Free Video

The Quantum Linear Systems Problem - IPAM at UCLA

Explore quantum algorithms for solving linear systems, including improved methods and complexity analysis, with a focus on potential exponential speedups and verification challenges.

• YouTube
• 34 minutes
• Self-Paced
• Free Video

Fast Algorithms for Quantum Signal Processing - IPAM at UCLA

Explore fast algorithms for quantum signal processing, focusing on optimization techniques, energy landscapes, and phase factor structures in quantum singular value transformation.

• YouTube
• 35 minutes
• Self-Paced
• Free Video

Quantum Algorithms for Quantum Information Processing Tasks

Explore quantum linear algebra methods for efficient quantum information processing, including block-encoding, singular value transformation, and applications in estimation, testing, and tomography tasks.

• YouTube
• 37 minutes
• Self-Paced
• Free Video

Time-Dependent Hamiltonian Simulation of Highly Oscillatory Dynamics - IPAM at UCLA

Explore highly oscillatory dynamics in quantum systems, focusing on efficient simulation algorithms for time-dependent Hamiltonians with applications in various scientific fields.

• YouTube
• 35 minutes
• Self-Paced
• Free Video

Efficient Quantum Algorithm for Dissipative Nonlinear Differential Equations

Explore efficient quantum algorithms for nonlinear differential equations, overcoming limitations through Carleman linearization. Discover potential applications in biology, fluid dynamics, and plasma physics.

• YouTube
• 38 minutes
• Self-Paced
• Free Video

Global Cyberinfrastructure for LIGO, Virgo, Kagra, IceCube, and Others

Explore global cyberinfrastructure supporting multi-messenger astrophysics experiments, including data management, compute clusters, and modular software stacks for collaborative research.

• YouTube
• 41 minutes
• Self-Paced
• Free Video

Rapid and Robust Parameter Estimation for Gravitational Wave Observations

Explore rapid parameter estimation techniques for gravitational wave observations, focusing on machine learning approaches like DINGO that use normalizing flows to efficiently analyze data from future detectors.

• YouTube
• 45 minutes
• Self-Paced
• Free Video

Low-Latency Noise Mitigation Techniques in Gravitational-Wave Detector Data Using Auxiliary Sensor Information

Explore low-latency noise mitigation techniques in gravitational-wave detectors, focusing on automated methods to enhance sensitivity and enable rapid multi-messenger follow-up of astrophysical events.

• YouTube
• 34 minutes
• Self-Paced
• Free Video

Machine Learning and Gravitational Wave Detectors

Explore machine learning applications in gravitational wave detector science, focusing on noise subtraction and advanced control systems to enhance sensitivity and robustness in astrophysical research.

• YouTube
• 40 minutes
• Self-Paced
• Free Video