Knill error correction reduces circuit-level decoding for quantum LDPC codes to the simpler code-capacity decoder while remaining fault-tolerant under locally decaying noise.
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A symmetry-leveraging framework for fault-tolerant ancilla preparation in quantum BCH codes yields lower spatial overhead and logical error rates than standard distillation in simulations up to 127 qubits.
A qubit-reduction method for hypergraph product codes preserves dimension, distance, and fault-tolerance properties, producing smaller codes such as [[441,64,6]] from [[610,64,6]] with comparable noise performance and compatibility with logical gates.
A new fault-tolerant scheme called parity unfolding distills gates from any Clifford hierarchy level using 2^{k+3} + O(2^{k/2}) biased-noise qubits, cutting logical error rates by 43% and resources by 26% for arbitrary rotation synthesis compared to T-only distillation.
citing papers explorer
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Simplified circuit-level decoding using Knill error correction
Knill error correction reduces circuit-level decoding for quantum LDPC codes to the simpler code-capacity decoder while remaining fault-tolerant under locally decaying noise.
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Efficient Fault-Tolerant Ancilla Preparation for Quantum BCH codes via Cyclic Symmetry
A symmetry-leveraging framework for fault-tolerant ancilla preparation in quantum BCH codes yields lower spatial overhead and logical error rates than standard distillation in simulations up to 127 qubits.
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Spatial overhead reduction for 2D hypergraph product codes
A qubit-reduction method for hypergraph product codes preserves dimension, distance, and fault-tolerance properties, producing smaller codes such as [[441,64,6]] from [[610,64,6]] with comparable noise performance and compatibility with logical gates.
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Parity-unfolded distillation architecture for noise-biased platforms
A new fault-tolerant scheme called parity unfolding distills gates from any Clifford hierarchy level using 2^{k+3} + O(2^{k/2}) biased-noise qubits, cutting logical error rates by 43% and resources by 26% for arbitrary rotation synthesis compared to T-only distillation.
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