Tensor Products Courses and Certifications

Tobias Osborne

Mathematical Methods of Quantum Information Theory

Master the mathematical foundations essential for quantum information theory through comprehensive lectures covering key theoretical frameworks and computational techniques.

• YouTube
• 1 day 1 hour 20 minutes
• Self-Paced
• Free Video

Ryan O'Donnell

Multi-Qubit Systems - Lecture 5 of Quantum Computation at CMU

Explore multi-qubit systems, tensor products, and joint states in quantum computation. Learn about Bell states and fundamental properties of quantum systems with multiple qubits.

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

International Centre for Theoretical Sciences

The Grothendieck Inequality by Gadadhar Misra

Explore the Grothendieck inequality, its consequences, and related concepts in mathematics. Learn about max cut problems, cut norms, and proofs, including Kirvine's approach to this fundamental inequality.

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

Insights into Mathematics

Central Polynumber Algebra and Baby Weyl Character Formula - Math Foundations 236

Explores central polynumber algebra and Weyl character formula, focusing on SU(2) and SU(3) representations. Connects to particle physics and quaternions, emphasizing polynumbers over complex exponentials.

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

Squid: Schools for Quantum Information Development

Quantum Physics for Non-Physicists 2021

Discover quantum mechanics fundamentals through states, measurements, dynamics, and key experiments like double-slit and Stern-Gerlach without requiring physics background.

• YouTube
• 1 day 11 hours 1 minute
• Self-Paced
• Free Video

Bridging the Divide Between Vectors and Symbols in Language Processing

Explore the intersection of vectors and symbols in language processing, focusing on innovative approaches to bridge computational and cognitive models of meaning.

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

Joint Mathematics Meetings

From Knots to Symplectic Geometry and Algebra

Explore connections between knot theory, symplectic geometry, and algebra through innovative mathematical concepts and techniques in this advanced mathematical lecture.

• YouTube
• 56 minutes
• Self-Paced
• Conference Talk

Institute for Pure & Applied Mathematics (IPAM)

David Gross: Stabilizer Formalism & Quantum Error Correction Through the Lens of Tensors

Explore advanced quantum error correction techniques, focusing on the stabilizer formalism and its applications in quantum fault tolerance, using tensor-based approaches and group theory.

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

IMSA

Wall Finiteness Obstruction for DG Categories I

Explore Wall finiteness obstruction theorem for DG categories, its applications to phantom DG categories, and implications for algebraic geometry, including results on Barlow surface and stratified varieties.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

The Projective/Injective Ratio and GPTs

Explore tensor products in normed spaces, examining projective and injective norms' differences. Discover applications in physics, probabilistic theories, and XOR games, using geometry and random matrix techniques.

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

Applied Algebraic Topology Network

Homological Algebra for Persistence Modules

Introduction to persistence modules in algebraic topology, exploring tensor products, Hom operations, and their role in homological algebra. Insights into preserving exact sequences and advanced concepts.

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

Hausdorff Center for Mathematics

Fluctuations of Linear Eigenvalue Statistics in Sample Covariance Matrices - Tensor Product Data

Explore fluctuations in linear eigenvalue statistics of sample covariance matrices with tensor product data, comparing normal and uniform distributions on unit sphere.

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

NPTEL-NOC IITM

Composite Systems: Pure States, Schmidt Decomposition, Operators Acting on Composite Systems - Part 2

Explore pure states in bipartite quantum systems, including product states, entanglement, Schmidt decomposition, and operators acting on tensor product spaces.

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

BIMSA

Skew Howe Duality and Limit Shapes for Young Diagrams

Explore complex mathematical concepts of skew Howe duality, examining its relationship with lattice paths on lozenge tilings and the convergence properties of Young diagrams in probability measures.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

BIMSA

Statistics of Tilting Modules in Large Tensor Product of Uq(sl2)-Modules - Part 2

Delve into advanced quantum algebra concepts focusing on tilting modules statistics and tensor products of Uq(sl2)-modules, exploring asymptotic behaviors and Plancherel measure properties.

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