References & Citations
Quantum Physics
Title: Optimization tools for distance-preserving flag fault-tolerant error correction
(Submitted on 22 Jun 2023 (v1), last revised 27 Mar 2024 (this version, v4))
Abstract: Lookup table decoding is fast and distance-preserving, making it attractive for near-term quantum computer architectures with small-distance quantum error-correcting codes. In this work, we develop several optimization tools that can potentially reduce the space and time overhead required for flag fault-tolerant quantum error correction (FTQEC) with lookup table decoding on Calderbank-Shor-Steane (CSS) codes. Our techniques include the compact lookup table construction, the Meet-in-the-Middle technique, the adaptive time decoding for flag FTQEC, the classical processing technique for flag information, and the separated $X$ and $Z$ counting technique. We evaluate the performance of our tools using numerical simulation of hexagonal color codes of distances 3, 5, 7, and 9 under circuit-level noise. Combining all tools can result in more than an order of magnitude increase in pseudothreshold for the hexagonal color code of distance 9, from $(1.34 \pm 0.01) \times 10^{-4}$ to $(1.42 \pm 0.12) \times 10^{-3}$.
Submission history
From: Theerapat Tansuwannont [view email][v1] Thu, 22 Jun 2023 13:17:03 GMT (2413kb,D)
[v2] Mon, 21 Aug 2023 03:27:22 GMT (2413kb,D)
[v3] Fri, 26 Jan 2024 04:03:43 GMT (2641kb,D)
[v4] Wed, 27 Mar 2024 14:07:15 GMT (2643kb,D)
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