SciPost Physics

SciPost Phys. 4, 007 (2018) · published 31 January 2018

• doi: 10.21468/SciPostPhys.4.1.007
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Abstract

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.

• Lang et al., Entanglement transition in the projective transverse field Ising model
  Phys. Rev. B 102, 094204 (2020) [Crossref]
• Domingo Colomer et al., Reinforcement learning for optimal error correction of toric codes
  Physics Letters A 384, 126353 126353 (2020) [Crossref]
• Heußen et al., Strategies for a practical advantage of fault-tolerant circuit design in noisy trapped-ion quantum computers
  Phys. Rev. A 107, 042422 (2023) [Crossref]
• Bomantara et al., Simulation of Non-Abelian Braiding in Majorana Time Crystals
  Phys. Rev. Lett. 120, 230405 (2018) [Crossref]
• McDonnell et al., Subradiant edge states in an atom chain with waveguide-mediated hopping
  Quantum 6, 805 805 (2022) [Crossref]