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quant-ph2026

Scalable quantum error correction tailored for a heavy-hex qubit array

Seok-Hyung Lee, Xanda C. Kolesnikow, Jun Zen +7

To produce an operable quantum computer that is made with imperfect hardware, we must design and test scalable quantum error correcting codes that are suited for the devices we can…

quant-ph2026

High-threshold, low-overhead and single-shot decodable fault-tolerant quantum memory

Thomas R. Scruby, Timo Hillmann, Joschka Roffe

We present a new family of quantum low-density parity-check codes, which we call radial codes, obtained from the lifted product of a specific subset of classical quasi-cyclic codes…

quant-ph2026

Low-valency scalable quantum error correction with a dynamic compass code

Jun Zen, Xanda C. Kolesnikow, Campbell K. McLauchlan +6

The ongoing development of hardware that is capable of reliably executing general quantum algorithms requires quantum error-correcting codes that are both practical for realisation…

quant-ph2026

Bacon-Shor Board Games

M. Sohaib Alam, Jun Zen, Thomas R. Scruby

We identify a period-4 measurement schedule for the checks of the Bacon-Shor code that fully covers spacetime with constant-weight detectors, and is numerically observed to provide…

quant-ph2025

Quantum Rainbow Codes: Achieving Linear Rate, Growing Distance and Transversal Non-Clifford Gates with Generalised Colour Codes

Thomas R. Scruby, Arthur Pesah, Mark Webster

We introduce rainbow codes, a novel class of quantum error correcting codes generalising colour codes and pin codes. Rainbow codes can be defined on any -dimensional simplicial…

quant-ph2025

Fault-tolerant Quantum Computation without Distillation on a 2D Device

Thomas R. Scruby, Kae Nemoto, Zhenyu Cai

We show how looped pipeline architectures - which use short-range shuttling of physical qubits to achieve a finite amount of non-local connectivity - can be used to efficiently imp…