79 | Towards Ultra-High-Rate Quantum Error Correction with Reconfigurable Atom Arrays

Schedule

• Date and time: Saturday, July 18, 2026, 13:00 UTC
• Local times: 21:00 HKT · 09:00 ET · 06:00 PT

Abstract

Quantum error correction is widely believed to be essential for large-scale quantum computation, but the required qubit overhead remains a central challenge. Quantum low-density parity-check codes can substantially reduce this overhead through high-rate encodings, yet finite-size instances with practical logical error rates often achieve encoding rates only around or below \(1/10\).

Here, building on a recent ultra-high-rate construction by Kasai, we identify new structural conditions on the underlying affine permutation matrices that make encoding rates exceeding \(1/2\) compatible with efficient implementation on reconfigurable neutral atom arrays. These conditions define a co-designed family of ultra-high-rate quantum codes that supports efficient syndrome extraction and atom rearrangement under realistic parallel control constraints.

Using a hierarchical decoder with high accuracy and good throughput, we study performance under a circuit-level noise model with \(p = 0.1\%\), achieving per-logical-per-round error rates of \(1.3^{+3.0}_{-0.9} \times 10^{-13}\) with a \([[2304, 1156, \leq 14]]\) code and \(2.9^{+3.1}_{-1.5} \times 10^{-11}\) with a \([[1152, 580, \leq 12]]\) code. We compare these codes against a heuristic Pareto frontier for finite-blocklength codes relating block length, encoding rate, and logical error rates, and find that our codes lie near the frontier. These results approach the teraquop regime, highlighting the promise of this code family for practical ultra-high-rate quantum error correction.

Speaker Bio

Chen Zhao will join Eastern Institute of Technology, Ningbo, as an Assistant Professor in Fall 2026. He was a Senior Research Scientist at QuEra Computing. He completed a postdoctoral fellowship at Harvard University from 2022 to 2024. He earned a Ph.D. in Applied Mathematics from the University of Chinese Academy of Sciences in 2022. His research focuses on quantum error correction with a focus on practical implementations for near-term quantum devices.