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.
Malcolm, Andrew N
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A new code surgery protocol measures t logically disjoint Pauli products on any LDPC code using O(t ω (log t + log³ω)) ancillas in O(d) time while preserving LDPC property and fault distance.
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.
CAbLECAR provides a robotics-inspired shuttle scheduler that enables QLDPC codes on tileable spin-qubit hardware, yielding up to 86% faster schedules and orders-of-magnitude gains in encoding efficiency and logical error rates over surface codes.
Quantum Margulis codes are constructed from classical Margulis LDPC codes via two-block group algebra, enabling linear-complexity min-sum decoding and better error-floor performance than bivariate bicycle codes under code-capacity noise.
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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Parallel Logical Measurements via Quantum Code Surgery
A new code surgery protocol measures t logically disjoint Pauli products on any LDPC code using O(t ω (log t + log³ω)) ancillas in O(d) time while preserving LDPC property and fault distance.
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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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CAbLECAR: efficiently scheduling QLDPC codes on a tileable spin qubit chip with shuttling
CAbLECAR provides a robotics-inspired shuttle scheduler that enables QLDPC codes on tileable spin-qubit hardware, yielding up to 86% faster schedules and orders-of-magnitude gains in encoding efficiency and logical error rates over surface codes.
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Construction and Decoding of Quantum Margulis Codes
Quantum Margulis codes are constructed from classical Margulis LDPC codes via two-block group algebra, enabling linear-complexity min-sum decoding and better error-floor performance than bivariate bicycle codes under code-capacity noise.
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