Institute for Pure & Applied Mathematics (IPAM) Courses

Lindblad Equations: Variational Analysis and Numerical Methods - IPAM at UCLA

Explore variational analysis and numerical methods for Lindblad equations in quantum algorithms, presented by Duke University's Jianfeng Lu at IPAM's workshop on scientific computation.

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

Quantum Markov Chain Monte Carlo Algorithm - IPAM at UCLA

Explore quantum Markov Chain Monte Carlo algorithms for sampling Gibbs states, featuring a novel continuous-time quantum Markov chain with efficient simulation and practical applications in lattice Hamiltonians.

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

Quantum Algorithmic Tools for Simulating Open Quantum Systems - IPAM at UCLA

Explore advanced quantum algorithmic techniques for simulating open quantum systems, including improved methods for Lindbaldian simulation and preparing purified Gibbs states with enhanced efficiency.

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

Quantum Computation of Stopping Power for Inertial Fusion Target Design

Explores quantum computation for calculating stopping power in inertial fusion, adapting electronic structure algorithms for non-equilibrium dynamics and finite temperature conditions.

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

Time-Marching Strategy Can Work Quantumly for Differential Equations - IPAM at UCLA

Efficient quantum algorithm for solving linear ODEs using time-marching strategy, overcoming previous limitations and introducing a novel "compression gadget" for enhanced success probability.

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

Geometry, Statistical Mechanics, and Integrability - IPAM at UCLA Spring 2024 Program

Explore connections between geometry, statistical mechanics, and integrability in this interdisciplinary program. Uncover links between probability theory, combinatorics, and various geometric structures.

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

Quantum Algorithms for Dynamics and Dynamical Observables - IPAM at UCLA

Explore quantum algorithms for measuring response functions and simulating dynamics, including new methods for obtaining Green's functions and efficient circuit synthesis techniques.

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

An Efficient Block Encoding Quantum Circuit for a Pairing Hamiltonian - IPAM at UCLA

Explore efficient block encoding quantum circuits for pairing Hamiltonians, discussing ancilla qubits, circuit structure, and extensions to Fermionic two-body Hamiltonians without Jordan-Wigner transformations.

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

Linear Combination of Hamiltonian Simulation for Non-Unitary Dynamics - IPAM at UCLA

Explore a novel method for simulating non-unitary dynamics using linear combination of Hamiltonian simulation, offering optimal state preparation cost and applications in open quantum systems.

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

Quantum Speedups of Continuous Sampling and Optimization Problems - IPAM at UCLA

Explore quantum algorithms for high-dimensional sampling and optimization, including log-concave distributions and approximately convex problems, with applications in statistics, machine learning, and physics.

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

Provably Efficient Quantum Algorithms for Nonlinear Dynamics and Machine Learning

Explore quantum algorithms for nonlinear dynamics and machine learning, including efficient solutions for differential equations and training sparse neural networks with potential quantum enhancements.

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

Efficient Quantum Algorithms for Linear and Non-Linear Differential Equations

Explore quantum algorithms for solving differential equations, focusing on efficiency and applications in scientific computation.

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

Reinforcement Learning and Architectures of Intelligence - Part 3

Explore advanced reinforcement learning concepts and intelligence architectures with Microsoft Research's Ida Momennejad in this in-depth tutorial from IPAM's Mathematics of Intelligences series.

• YouTube
• 1 hour 25 minutes
• Self-Paced
• Free Video

Basic Models of Animal Cognition - Part 3

Explore diverse cognitive strategies in animals for problem-solving, from navigation to social relationships. Learn scientific methods for measuring animal cognition in field and lab settings.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

Neural Mechanisms of Intelligence - Part 3

Explore neural mechanisms of intelligence in animals, uncovering algorithms behind cognitive processes. Gain insights into measuring and understanding non-linguistic forms of intelligence.

• YouTube
• 1 hour 23 minutes
• Self-Paced
• Free Video