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Partial syndrome measurement for hypergraph product codes
Hypergraph product codes are a promising avenue to achieving fault-tolerant quantum
computation with constant overhead. When embedding these and other constant-rate …
computation with constant overhead. When embedding these and other constant-rate …
Improved QLDPC Surgery: Logical Measurements and Bridging Codes
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) …
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
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 …
defects of topological generalized Pauli stabilizer codes in two spatial dimensions. Utilizing …
Locality vs Quantum Codes
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 …
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 …
good Bivariate Bicycle (BB) codes and (2) defines a new subclass of BB codes suitable for …
Multivariate Bicycle Codes
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 …
computations. In this work, we introduce Multivariate Bicycle (MB) Quantum Low-Density …