An Introduction to Topological Quantum Codes

Abstract

This is the chapter \emph{Topological Codes} of the book \emph{Quantum Error Correction}, edited by Daniel A. Lidar and Todd A. Brun, Cambridge University Press, New York, 2013. http://www.cambridge.org/us/academic/subjects/physics/quantum-physics-quantum-information-and-quantum-computation/quantum-error-correction

35 pages, 22 figures, (c) Cambridge University Press

Cited by in corpus (10)

• Quantum Lego: Building Quantum Error Correction Codes from Tensor Networks
• Reinforcement learning for optimal error correction of toric codes
• Cellular automaton decoders for topological quantum codes with noisy measurements and beyond
• Efficient color code decoders in $d\ge 2$ dimensions from toric code decoders
• General tensor network decoding of 2D Pauli codes
• Quantum error correction with the color-Gottesman-Kitaev-Preskill code
• Color code decoder with improved scaling for correcting circuit-level noise
• Magic Mirror on the Wall, How to Benchmark Quantum Error Correction Codes, Overall ?
• An analytic study of the independent coherent errors in the surface code
• Decoding Algorithms for Hypergraph Subsystem Codes and Generalized Subsystem Surface Codes