2017/11/30 by Nicolai Lang, Hans Peter Büchler, Hans Peter Büchler · 1 citation
Computer Science · Physics and Astronomy · #Construct (python library) #Decoding methods #Quantum #Quantum Computing Algorithms and Architecture #Quantum cellular automaton #Quantum decoherence #Quantum-Dot Cellular Automata #Qubit #Scalability #Topological Materials and Phenomena #Topology (electrical circuits) #Toric code #nlin.CG #quant-ph
paper · pdf · doi:10.21468/scipostphys.4.1.007
published as SciPost Phys. 4, 007 (2018) · Submission to SciPost, v2: minor revisions
openalex created_date 2017/12/04 · arxiv created 2018/01/12 · openalex publication_date 2018/01/31 · arxiv updated 2018/02/01 · openalex updated_date 2026/08/06
Active quantum error correction on topological codes is one of the most promising routes to long-term qubit storage. In view of future applications, the scalability of the used decoding algorithms in physical implementations is crucial. In this work, we focus on the one-dimensional Majorana chain and construct a strictly local decoder based on a self-dual cellular automaton. We study numerically and analytically its performance and exploit these results to contrive a scalable decoder with exponentially growing decoherence times in the presence of noise. Our results pave the way for scalable and modular designs of actively corrected one-dimensional topological quantum memories.