Partial syndrome measurement for hypergraph product codes

N Berthusen, D Gottesman - Quantum, 2024 - quantum-journal.org
Hypergraph product codes are a promising avenue to achieving fault-tolerant quantum
computation with constant overhead. When embedding these and other constant-rate …

Improved QLDPC Surgery: Logical Measurements and Bridging Codes

A Cross, Z He, P Rall, T Yoder - arxiv preprint arxiv:2407.18393, 2024 - arxiv.org
In this paper, we introduce the gauge-fixed QLDPC surgery scheme, an improved logical
measurement scheme based on the construction of Cohen et al.~(Sci.~ Adv.~ 8, eabn1717) …

Operator algebra and algorithmic construction of boundaries and defects in (2+ 1) D topological Pauli stabilizer codes

Z Liang, B Yang, JT Iosue, YA Chen - arxiv preprint arxiv:2410.11942, 2024 - arxiv.org
In this paper, we present a computational algorithm for constructing all boundaries and
defects of topological generalized Pauli stabilizer codes in two spatial dimensions. Utilizing …

Locality vs Quantum Codes

S Dai, R Li - arxiv preprint arxiv:2409.15203, 2024 - arxiv.org
This paper proves optimal tradeoffs between the locality and parameters of quantum error-
correcting codes. Quantum codes give a promising avenue towards quantum fault tolerance …

Coprime Bivariate Bicycle Codes and their Properties

M Wang, F Mueller - arxiv preprint arxiv:2408.10001, 2024 - arxiv.org
This work (1) proposes a novel numerical algorithm to accelerate the search process for
good Bivariate Bicycle (BB) codes and (2) defines a new subclass of BB codes suitable for …

Multivariate Bicycle Codes

L Voss, SJ **an, T Haug, K Bharti - arxiv preprint arxiv:2406.19151, 2024 - arxiv.org
Quantum error correction suppresses noise in quantum systems to allow for high-precision
computations. In this work, we introduce Multivariate Bicycle (MB) Quantum Low-Density …