Efficient Quantum Error Correction from Three Dimensional Qubit Control
Abstract
High-rate quantum low-density parity-check (qLDPC) codes can substantially reduce qubit overhead relative to surface codes, but their advantage depends on efficiently realizing nonlocal syndrome extraction. We study the [[144,12,12]] bivariate bicycle code on a neutral-atom architecture with native three-dimensional (3D) geometry, comparing planar and 3D embeddings while holding the code fixed. We characterize spatial efficiency using the logical-qubit density, defined as the number of encoded logical qubits per unit spatial footprint. Because the optical controller's field of view limits the transverse extent of an array, this metric estimates the number of logical qubits that can be accommodated within a fixed optical field of view. The 3D embedding achieves approximately 4× greater areal logical-qubit density than the planar layout and 42× greater than a surface-code baseline. It also reduces the bivariate bicycle syndrome-extraction time by roughly 2× compared to a planar baseline, with fewer movement operations and substantially shorter atom-transport distance. Native 3D geometry can improve both the packing density and executable realization of nonlocal qLDPC codes, making practical performance depend jointly on code structure, optical geometry, transport scheduling, and hardware-level noise. This motivates further development of control techniques in 3D.
Related
- Bunny Codes: Broadening Superconducting Quantum Error Correction Capability through Advanced Control Engineering
- Trinetra.Q: Statistical and Behavioral Detection of Attacks on the Quantum-Error-Correction Layer and Classical Control Stack of Quantum Computing Systems
- Efficient adaptive control strategy for multi-parameter quantum metrology in two-dimensional systems
- Bosonic quantum error correction with microwave cavities for quantum repeaters
- Error-Correction Transitions in Finite-Depth Quantum Channels
BibTeX
@misc{wu2026efficient,
title = {{Efficient Quantum Error Correction from Three Dimensional Qubit Control}},
author = {Kevin Yipu Wu and Ohik Kwon and Maxwell F. Parsons},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.04459},
eprint = {2609.04459},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.04459},
}
RIS
TY - UNPB
TI - Efficient Quantum Error Correction from Three Dimensional Qubit Control
AU - Kevin Yipu Wu
AU - Ohik Kwon
AU - Maxwell F. Parsons
PY - 2026
DA - 2026/09/03
PB - arXiv
DO - 10.48550/arxiv.2609.04459
UR - https://arxiv.org/abs/2609.04459
AB - High-rate quantum low-density parity-check (qLDPC) codes can substantially reduce qubit overhead relative to surface codes, but their advantage depends on efficiently realizing nonlocal syndrome extraction. We study the [[144,12,12]] bivariate bicycle code on a neutral-atom architecture with native three-dimensional (3D) geometry, comparing planar and 3D embeddings while holding the code fixed. We characterize spatial efficiency using the logical-qubit density, defined as the number of encoded logical qubits per unit spatial footprint. Because the optical controller's field of view limits the transverse extent of an array, this metric estimates the number of logical qubits that can be accommodated within a fixed optical field of view. The 3D embedding achieves approximately 4× greater areal logical-qubit density than the planar layout and 42× greater than a surface-code baseline. It also reduces the bivariate bicycle syndrome-extraction time by roughly 2× compared to a planar baseline, with fewer movement operations and substantially shorter atom-transport distance. Native 3D geometry can improve both the packing density and executable realization of nonlocal qLDPC codes, making practical performance depend jointly on code structure, optical geometry, transport scheduling, and hardware-level noise. This motivates further development of control techniques in 3D.
ER -