Institute for Pure & Applied Mathematics (IPAM) Courses

Circuit-to-Hamiltonian from Tensor Networks and Fault Tolerance - IPAM at UCLA

Explore a novel approach to mapping quantum circuits to local Hamiltonians using tensor networks, avoiding clock registers and incorporating fault tolerance for robust quantum computation.

• YouTube
• 37 minutes
• On-Demand
• Free Video

Topology of Moduli Spaces of Topological Theories and Applications to Codes

Explore moduli spaces of topological theories, their homotopy types, and applications to Hastings-Haah floquet codes in quantum error correction and quantum gravity.

• YouTube
• 54 minutes
• On-Demand
• Free Video

Quantum Error Correcting for Gravity in the Large-N Limit - IPAM at UCLA

Explore quantum error correcting codes for large-N limit theories, focusing on gravitational duals and emerging features. Covers asymptotic operator algebra results and information theoretic constraints.

• YouTube
• 55 minutes
• On-Demand
• Free Video

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
• On-Demand
• 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
• On-Demand
• Free Video

Scrambling Time and Black Holes - Green Family Lecture at IPAM at UCLA

Explore the intriguing connection between scrambling time and black holes in this lecture by renowned physicist Peter Shor, delving into quantum information theory and its implications for understanding cosmic phenomena.

• YouTube
• 55 minutes
• On-Demand
• Free Video

No-Go Result for Implementing Chiral Symmetries by Locality-Preserving Unitaries

Explores limitations in implementing chiral symmetries using locality-preserving unitaries for fermionic lattice models, with implications for quantum error correction and quantum gravity.

• YouTube
• 55 minutes
• On-Demand
• Free Video

Classical Topology and Quantum Complexity - IPAM at UCLA

Explore the intersection of classical topology and quantum complexity, focusing on computational challenges in determining homology groups and their implications for quantum mechanics and data analysis.

• YouTube
• 54 minutes
• On-Demand
• Free Video

Hamiltonian Simulation Meets Holographic Duality - IPAM at UCLA

Explore connections between Hamiltonian simulation and AdS/CFT duality, uncovering universal quantum Hamiltonians and extending toy models to include energy scales and dynamics in quantum gravity.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Making the Leap to Quantum PCPs - IPAM at UCLA

Explore quantum PCPs, NLTS conjecture, and quantum error-correcting codes. Discover connections to quantum complexity theory and future research directions in this intuition-focused talk.

• YouTube
• 50 minutes
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video