Toric Code Courses and Certifications

International Centre for Theoretical Sciences

Unfolding the Toric Code

Explore the toric code's mathematical foundations and applications in quantum error correction during this talk by Brijesh Kumar at the 10th Indian Statistical Physics Community Meeting.

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

Institute for Advanced Study

Field Theory for the Self-Dual Confinement Transition of the Toric Code and Beyond

Explore advanced field theory techniques for understanding self-dual confinement transitions in toric code models and related quantum many-body systems.

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

Simons Institute

A Local Automaton for the 2D Toric Code

Explore the local automaton mechanism for the 2D toric code in this quantum memories workshop presentation by Shankar Balasubramanian.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Simons Institute

Polynomial-Time Preparation of Low-Temperature Gibbs States for 2D Toric Code

Delve into quantum algorithms and mathematical techniques for preparing low-temperature Gibbs states in 2D toric code systems, focusing on polynomial-time computational methods.

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

Institute for Pure & Applied Mathematics (IPAM)

Topological Defects in Toric Code and Sequential Quantum Circuit - IPAM at UCLA

Explore topological defects in toric code and sequential quantum circuits, focusing on the Cheshire string and its implications for understanding higher-dimensional topological orders and quantum error correction.

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

Institute for Advanced Study

Physics of Topological Codes

Explore the intricate world of topological codes in quantum information, delving into their physical properties and applications with expert insights from Yale University researcher Meng Cheng.

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

Qiskit

Quantum Code Constructions: Understanding Quantum Information and Computation - Lesson 15

Explore advanced quantum error correcting code constructions, including CSS codes, toric code, and surface codes. Learn about error detection, correction, and code spaces for practical quantum error correction applications.

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

Institute for Pure & Applied Mathematics (IPAM)

Stabilizer Formalism & Quantum Error Correction Through the Lens of Tensors - Part 1

Explore stabilizer formalism and quantum error correction using tensor methods. Learn about many-body systems, error correction challenges, and connections to finite symplectic geometries.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video

Kavli Institute for Theoretical Physics

Spacetime Topological Defect Networks and Floquet Codes - Dominic Williamson

Explores topological defect networks and Floquet codes in quantum systems, covering anyons, toric code, TQFT dynamics, and spacetime defects. Provides insights for researchers in integrable models and quantum physics.

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

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
• On-Demand
• Free Video

BIMSA

Generalized Spin-Statistics Theorem for Loop Excitations

Explore an extended spin-statistics theorem for loops using Klein bottle representation. Examine new solvable lattice models for topological phases and fermionic loop excitations in higher dimensions.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Topological Dualities from Matchgate Tensor Networks

Explore topological dualities connecting toric code, superconductors, and Ising model using matchgate tensor networks. Unifies approaches to non-local duality between fermionic and bosonic systems.

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

Galileo Galilei Institute

Measurement-Prepared Quantum Phases and Phase Transitions - From Ising Model to Gauge Theory

Explore measurement-prepared quantum phases, from Ising models to gauge theories. Discover symmetry breaking, long-range entanglement, and critical states in 2D and 3D systems.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

An Effective Field Theory for Holographic Random Matchgate Tensor Networks

Explore effective field theory for random matchgate tensor networks, analyzing phase transitions and topological connections in 2D systems with open physical boundaries.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Dublin Institute for Advanced Studies DIAS

The 3D Plaquette Ising Model: Subsystem Symmetries and Fractons

Explore the 3D Plaquette Ising Model, subsystem symmetries, and fractons. Delve into classical and quantum versions, unusual scaling properties, and quasiparticle excitations in topological models.

• YouTube
• 1 hour 27 minutes
• On-Demand
• Free Video