SAMOP 2023 – wissenschaftliches Programm
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QI: Fachverband Quanteninformation
QI 34: Concepts and Methods III
QI 34.7: Vortrag
Freitag, 10. März 2023, 12:30–12:45, B302
Rescaling decoder for 2D topological quantum color codes on 4.8.8 lattices — Pedro Parrado Rodriguez1, •Manuel Rispler2,3, and Markus Müller2,3 — 1Department of Physics, College of Science, Swansea University, — 2Institute for Quantum Information, RWTH Aachen University, D-52056 Aachen, Germany — 3Peter Grünberg Institute, Theoretical Nanoelectronics, Forschungszentrum Jülich, D-52425 Jülich, Germany
Fault-tolerant quantum computation relies on scaling up quantum error correcting codes in order to suppress the error rate on the encoded quantum states. Topological codes, such as the surface code or color codes, are leading candidates for practical scalable quantum error correction and require efficient and scalable decoders. In this work, we propose and study the efficiency of a decoder for two-dimensional topological color codes on the 4.8.8 lattice (also known as the square-octagon code), by building on the work of Sarvepalli and Raussendorf [Phys. Rev. A 85, 022317 (2012)], for color codes on hexagonal lattices. The decoder is based on a rescaling approach, in which syndrome information on a part of the qubit lattice is processed locally, and then the lattice is rescaled iteratively to smaller sizes. We find a threshold of 6.0% for code capacity noise.