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Association for Computing Machinery (ACM)

Arikan Meets Shannon - Polar Codes With Near-Optimal Convergence to Channel Capacity

Explore polar codes for efficient data transmission, examining their convergence to channel capacity and applications in binary-input discrete symmetric memoryless channels.

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

Institute for Pure & Applied Mathematics (IPAM)

Oscillator-to-Oscillator Codes Do Not Have a Threshold

Explores limitations of oscillator-to-oscillator codes in quantum information, proving they lack a threshold property for error correction when using constant squeezing and maximum likelihood decoding.

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

Institute for Pure & Applied Mathematics (IPAM)

Taming the Dynamical Sign Problem in Diagrammatic Algorithms for Open Quantum Systems

Explore diagrammatic algorithms for open quantum systems, focusing on balancing dynamical sign problems and error amplification in numerical integration through partial resummation techniques.

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

Institute for Pure & Applied Mathematics (IPAM)

Building Manifolds from Error Correcting Codes - IPAM at UCLA

Explore the intersection of error correcting codes and manifold construction, delving into quantum error correction, topology, and complex mathematical concepts.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Kavli Institute for Theoretical Physics

Floquet Codes and Symmetries of Topological Order - Zhengan Wang

Explores Floquet codes and symmetries in topological order, discussing recent advances in integrable models from mathematical physics, condensed-matter physics, and string theory perspectives.

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

Kavli Institute for Theoretical Physics

Recent Developments in Asymptotically Good Quantum LDPC Codes

Explores recent advancements in quantum LDPC codes, focusing on asymptotically good properties. Discusses theoretical developments and potential applications in quantum error correction and fault-tolerant quantum computing.

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

Hausdorff Center for Mathematics

Blow-Up Solution for the Energy Critical Heat Equation

Explore classical and recent results on blow-up phenomena in critical Fujita equations, including infinite and finite-time blow-up, and learn about the inner-outer method and its applications.

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

Hausdorff Center for Mathematics

Blow Up Solution for the Energy Critical Heat Equation

Explore classical results and recent advancements in blow-up phenomena for critical Fujita equations, including infinite and finite-time blow-up, and the inner-outer method.

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

Hausdorff Center for Mathematics

Blow Up Solution for the Energy Critical Heat Equation - Lecture II

Explore classical results and recent developments in blow-up phenomena for critical Fujita equations, including infinite and finite-time blow-up, and the inner-outer method.

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

Hausdorff Center for Mathematics

Blow Up Solution for the Energy Critical Heat Equation

Explore classical results and recent developments in blow-up phenomena for critical Fujita equations, including infinite and finite-time blow-up, using the inner-outer method.

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

Association for Computing Machinery (ACM)

SIGformer: Sign-aware Graph Transformer for Recommendation

Explore sign-aware graph transformers for recommendation systems, enhancing accuracy through innovative graph-based techniques and transformer architectures.

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

International Centre for Theoretical Sciences

New Signed Bijections Pertaining to Alternating Sign Matrices and Gelfand-Tsetlin Patterns

Delve into advanced mathematical concepts exploring signed bijections, alternating sign matrices, and Gelfand-Tsetlin patterns through rigorous theoretical analysis and problem-solving approaches.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Centre for Quantum Technologies

NLTS Hamiltonians from Good Quantum Codes - Understanding Low-Energy States and Circuit Complexity

Delve into the complexity of NLTS conjecture, quantum LDPC codes, and their connection to local Hamiltonians, exploring circuit lower bounds and many-body entanglement principles.

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

Squid: Schools for Quantum Information Development

Tradeoff Constructions for Quantum Locally Testable Codes

Explore groundbreaking constructions for quantum locally testable codes, examining weight reduction, soundness amplification, and distance amplification techniques to achieve new parameter regimes in quantum error correction.

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

Squid: Schools for Quantum Information Development

Toward a 2D Local Implementation of Quantum LDPC Codes

Explore innovative approaches to implementing quantum LDPC codes in 2D architectures, focusing on bilayer designs and quasi-cyclic codes to achieve efficient error correction with reduced physical qubit requirements.

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