Barbell codes are a family of qLDPC codes with a matching superconducting chip layout enabling constant hardware complexity, simulated to preserve logical information over trillions of QEC cycles at 10^{-4} physical noise with under 30 data qubits per logical qubit.
Qdistrnd: A gap package for computing the distance of quantum error-correcting codes
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VarQEC uses a distinguishability loss as a machine-learning objective to variationally discover resource-efficient encoding circuits optimized for given noise models.
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Barbell Codes: qLDPC Codes for Superconducting Quantum Hardware
Barbell codes are a family of qLDPC codes with a matching superconducting chip layout enabling constant hardware complexity, simulated to preserve logical information over trillions of QEC cycles at 10^{-4} physical noise with under 30 data qubits per logical qubit.