Institute for Pure & Applied Mathematics (IPAM) Courses

From NISQ to Fault Tolerance - Architecting the Accelerated Quantum Supercomputer

Explore NVIDIA's blueprint for scaling quantum computers from noisy devices to fault-tolerant systems through GPU-quantum integration and AI-driven control.

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

Adapting QEC Circuits to Dropout Using LUCI

Explore quantum error correction circuit adaptation techniques for handling defective components in scaled quantum computers using LUCI methodology and surface code implementations.

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

An Approach for Calculating Astrophysical Opacities on Quantum Computers

Explore quantum algorithmic protocols for calculating astrophysical opacities through atomic and photonic system simulations, with focus on solar iron opacity challenges.

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

Experimental Quantum Error Correction at Quantinuum

Explore cutting-edge quantum error correction experiments using trapped-ion processors, covering detection methods, fault-tolerant operations, and the transition to scalable quantum computing.

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

Real-Time Decoding for Fault-Tolerant Quantum Computers

Explore real-time decoding challenges for fault-tolerant quantum computers, focusing on hardware-aware algorithms like Relay-BP for FPGA implementation and backlog solutions.

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

Tour de Gross - A Modular Quantum Computer Based on Bivariate Bicycle Codes

Explore IBM's bicycle architecture for modular quantum computing using high-rate LDPC codes, enabling larger logical circuits with fewer physical qubits than surface codes.

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

Compiling Quantum Algorithms to 2D Nearest Neighbor Architectures

Explore advanced techniques for compiling quantum algorithms to 2D square qubit arrays using lattice surgery and ZX graph optimization with open-source tools.

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

Earth System Symmetries - Geometry, Groups, and Limits of Structure in Machine Learning

Explore how geometry, topology, and algebra enhance deep learning for Earth systems, covering non-Euclidean spaces, symmetries, and when to apply or relax structural constraints.

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

Global Warming and Global Weirding - Nonautonomous Dynamics for Chaotic and Noisy Systems

Explore how time-dependent forcing affects climate variability beyond just warming, examining mathematical frameworks for understanding both natural and human impacts on weather patterns.

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

Artificial Intelligence Pathways from Weather to Climate

Explore AI applications in climate modeling, from weather prediction to long-term climate simulation, examining deep learning frameworks and hybrid physics-AI approaches.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Foundation Models as New Backbone for Medium-range Forecasting and Data Assimilation

Explore how foundation models revolutionize weather forecasting by comparing ML approaches to traditional numerical prediction systems and integrating data assimilation methods.

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

Polymer Models in Critical Environments

Explore polymer models in critical environments through statistical mechanics, examining directed polymers, KPZ universality theory, and fractal structures with novel mathematical approaches.

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

Quasi-Isometric Nonequivalence for Random Subsets in Products of Trees

Explore quasi-isometric rigidity in random Bernoulli percolation on tree products, proving nonequivalence of independent samples in higher-rank settings.

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

W-Volume for Planar Domains with Circular Boundary

Explore W-volume extensions for planar domains with circular boundaries, connecting Epstein maps, renormalized volume bounds for Schottky groups, and geometric interpretations of Loewner energy.

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

The Polynomial Method for Spectral Gaps of Random Hyperbolic Surfaces

Explore the polynomial method for analyzing spectral gaps in random hyperbolic surfaces, connecting geometry to random matrix theory with explicit error rates.

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