Institute for Pure & Applied Mathematics (IPAM) Courses

Exponential Concentration in Quantum Generative Modeling and Quantum Kernel Methods

Explore exponential concentration in quantum generative modeling and kernel methods, examining causes, consequences, and the impact of shot noise on these quantum machine learning models.

• YouTube
• 1 hour
• On-Demand
• Free Video

A Unified Theory of Barren Plateaus for Deep Parametrized Quantum Circuits

Unified theory explaining barren plateaus in deep parametrized quantum circuits, covering expressiveness, entanglement, locality, and noise effects on variational quantum computing schemes.

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

Quantum Computation From Dynamic Automorphism Codes - IPAM at UCLA

Explore dynamic automorphism codes for quantum computation, featuring low-weight measurement sequences for encoding, error correction, and logical gate application in quantum systems.

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

Pumping Chirality in Three Dimensions - IPAM at UCLA

Explore quantum cellular automata, bosonization, and chirality pumping in 3D systems. Discover connections to quantum error correction and topological physics in this advanced physics lecture.

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

Let's Talk About Noise - IPAM at UCLA

Explore quantum error correction, noise models, and channels in quantum computing. Covers Lindbladians for single-bit and collaborative noise, with insights on return time estimates.

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

Peter Shor - Quantum Computing - Green Family Lecture at IPAM at UCLA

Explore quantum computing's impact on information theory, computation, and cryptography, including Shor's algorithm for prime factorization and other quantum discoveries.

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

Quantum Computation with Quantum LDPC Codes in Reconfigurable Atom Arrays

Explore quantum computation using LDPC codes in atom arrays, offering low-overhead fault-tolerant computing. Learn about hardware-efficient schemes and their potential to outperform surface codes with fewer qubits.

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

Tannakian Formalism for Stacks

Explores Tannakian formalism for stacks, discussing representation categories of affine group schemes and characterizing symmetric monoidal Grothendieck categories equivalent to quasi-coherent sheaves on stacks.

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

Representations of General Linear Groups in the Verlinde Category

Exploration of representations of general linear groups in the Verlinde category, discussing known aspects, highest weight structure, and open questions in this area of symmetric tensor categories.

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

Growth in Tensor Powers - Representation Theory

Explores growth patterns in tensor powers of group representations, introducing a new invariant and its properties using tensor category theory.

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

Growth and Tensor Products in Representation Theory - Lecture 1

Explore asymptotic counting of summands in tensor products of representations, with numerous examples to illustrate concepts in symmetric tensor categories and representation theory.

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

Symmetric Tensor Categories of Moderate Growth

Explore symmetric tensor categories in positive characteristic fields, recent breakthroughs, and collaborative research findings in this advanced mathematics lecture.

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

Support Varieties and the Tensor Product Property - Lecture

Explore support varieties in representation theory, focusing on tensor product properties and indecomposable periodic objects. Discover applications in finite groups and tensor categories.

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

G-modules: Stable Categories and Subcoalgebras - Lecture on Affine Group Scheme Representations

Explore affine group scheme representations, stable module categories, and support theory for G-modules. Discover filtrations associated with subcoalgebras of coordinate algebras in this advanced mathematics lecture.

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

Induced Functors on Drinfeld Centers via Monoidal Adjunctions

Explore induced functors on Drinfeld centers through monoidal adjunctions, examining their compatibility with braiding and preservation of commutative objects in tensor categories.

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