RASCqL: Reaction-time-limited Architecture for Space-time-efficient Complex qLDPC Logic

• URL: http://arxiv.org/abs/2602.14273v1
• Date: Sun, 15 Feb 2026 18:52:25 GMT
• Title: RASCqL: Reaction-time-limited Architecture for Space-time-efficient Complex qLDPC Logic
• Authors: Willers Yang, Jason Chadwick, Mariesa H. Teo, Joshua Viszlai, Fred Chong,
• Abstract summary: RASCqL is a Reaction-timelimited Architecture for Space-time-efficient qLDPC Logic.<n>It supports key algorithmic subroutines such as quantum arithmetic, table lookups, and magic-state distillation directly in qLDPC codes.<n>RASCqL implements key algorithmic subroutines at space-time costs comparable to state-of-the-art surface-code architectures.
• Score: 0.39768138694503036
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum low-density parity-check (qLDPC) codes offer a promising route to scalable fault-tolerant quantum computing (FTQC) due to their substantially reduced footprint, but these gains can be diluted at utility scale if we cannot also realize a space-time-efficient instruction-set architecture (ISA) for relevant quantum applications. We present RASCqL, a Reaction-time-limited Architecture for Space-time-efficient Complex qLDPC Logic, introducing a complex-instruction-set quantum computer (CISQ) that supports key algorithmic subroutines such as quantum arithmetic, table lookups, and magic-state distillation directly in co-designed qLDPC codes. Unlike prior constructions for qLDPC logic that aim at versatile ISAs amenable to diverse circuits, RASCqL adopts an application-tailored code-modification scheme that embeds specific complex Clifford instructions useful for functional subroutines as virtually implementable matrix automorphisms. RASCqL further leverages parallel physical operations in reconfigurable neutral-atom array platforms to achieve fast QEC cycles and high-fidelity transversal operations. At the cost of increased design complexity, RASCqL implements key algorithmic subroutines at space-time costs comparable to state-of-the-art transversal surface-code architectures while achieving up to $2\times$ to $7\times$ footprint reduction under realistic physical error rates of $2 \times 10^{-3}$ to $5 \times 10^{-4}$, without additional hardware complexity. RASCqL thus demonstrates a concrete path forward for qLDPC codes as CISQ compute modules, extending their practical utility in fault-tolerant quantum computing architectures.

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