SciPost Submission Page
Strictly local one-dimensional topological quantum error correction with symmetry-constrained cellular automata
by Nicolai Lang, Hans Peter Büchler
- Published as SciPost Phys. 4, 007 (2018)
|As Contributors:||Nicolai Lang|
|Arxiv Link:||https://arxiv.org/abs/1711.08196v2 (pdf)|
|Date submitted:||2018-01-15 01:00|
|Submitted by:||Lang, Nicolai|
|Submitted to:||SciPost Physics|
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.
Ontology / TopicsSee full Ontology or Topics database.
Published as SciPost Phys. 4, 007 (2018)
Author comments upon resubmission
List of changes
- Added Eq. (39) to derive the validity of Eq. (40)
- Added a preliminary statement on p. 17 before the proof to allow readers to skip the latter without loosing the guiding thread of the paper.
- Added a preliminary note on p. 33 at the beginning of section 5.2 to highlight the proof-of-concept character of our proposed setup.
Submission & Refereeing History
You are currently on this page