Institute for Pure & Applied Mathematics (IPAM) Courses

Unique Games Hardness of Quantum Max-Cut and Conjectured Vector-Valued Borell Inequality

Explore quantum max-cut problems, unique games hardness, and vector-valued Borell's inequality in this advanced theoretical computer science and mathematics talk by John Wright.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Topological Quantum Computation with Majorana Zero-Energy Modes - IPAM at UCLA

Explore topological quantum computing using Majorana zero-energy modes. Learn about recent advancements in engineering topological superconductors and their potential for scalable, error-resistant quantum computation.

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

Understanding Quantum Machine Learning Also Requires Rethinking Generalization

Explores challenges in understanding generalization in quantum machine learning, revealing limitations of traditional approaches and the need for new paradigms in model design and evaluation.

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

Exponential Separations Between Classical and Quantum Learners - IPAM at UCLA

Explore exponential advantages of quantum learning algorithms over classical ones, including new results from complex quantum systems and restricted quantum capabilities in training stages.

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

Quantum Statistical Query Learning II of II - IPAM at UCLA

Explores quantum statistical query learning, comparing it to quantum PAC models. Discusses lower bounds, separation results, and potential applications in quantum learning theory.

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

Quantum Statistical Query Learning I of II - IPAM at UCLA

Explore quantum statistical query learning, its comparison to quantum PAC models, and key results in function learning and measurement types. Gain insights into QSQ lower bounds and proof strategies.

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

The Role of Data, Precomputation, and Communication in a Quantum Learning Landscape

Explore quantum computing's impact on data analysis, learning from quantum systems, and the interplay between quantum data and computation in distributed systems.

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

On Quantum Backpropagation and Information Reuse - IPAM at UCLA

Explores quantum backpropagation and information reuse in parameterized quantum models, challenging assumptions about quantum measurement collapse and discussing implications for scaling quantum learning algorithms.

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

Language Models for Quantum Simulation - IPAM at UCLA

Explore how language models like GPT are revolutionizing quantum simulation, with focus on their application in learning quantum states in Rydberg atom arrays and potential impact on quantum computing.

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

Quantum Algorithms for Dynamics Simulation - Hamiltonian Simulation & General Differential

Explore quantum algorithms for simulating dynamics, focusing on Hamiltonian simulation and differential equations in this comprehensive tutorial by Duke University's Di Fang.

• YouTube
• 1 hour 12 minutes
• Self-Paced
• Free Video

Quantum Simulation with Noisy Intermediate-Scale Quantum Processors

Explore advanced quantum simulation techniques using noisy intermediate-scale quantum processors, focusing on cutting-edge developments and practical applications in computational quantum physics.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Quantum Simulation with Noisy Intermediate-Scale Quantum Processors

Explore quantum simulation using noisy intermediate-scale quantum processors in this comprehensive tutorial by Google's Pedram Roushan, covering key concepts and challenges in the field.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Quantum Algorithms for Dynamics Simulation - Differential Equations - IPAM at UCLA

Explore quantum algorithms for simulating dynamics and solving differential equations, focusing on mathematical and computational challenges in quantum computing.

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

Classical ML for Quantum Problems - IPAM at UCLA

Explore classical machine learning applications in quantum computing, focusing on solving quantum problems and advancing quantum technologies.

• YouTube
• 1 hour 19 minutes
• Self-Paced
• Free Video

Learning Theory in the Quantum Universe - IPAM at UCLA

Explore quantum learning theory with Google Quantum AI expert Hsin-Yuan Huang. Discover mathematical challenges and computational advancements in quantum computing through this insightful presentation.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video