Spacetime lifting constructs fault complexes with almost-linear fault distance in spacetime cost, outperforming prior constructions and supporting fault-tolerant logical teleportation via cluster-state protocols.
arXiv preprint arXiv:2603.02157 , year=
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Full extractors for HGP codes are built to enable logical processing via PBC without compilation overhead, with sizes 50-80% of base codes and low error rates in simulations.
Concatenating quantum Reed-Solomon codes over the gross code via Galois qudits reaches teraquop regime at uniform 10^{-3} noise with reduced overhead.
A forced-gap post-selection strategy using repeated Relay-BP decoder runs improves logical error rates by over 4x on 72- and 144-qubit bivariate bicycle codes at fixed post-selection rate.
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.
Shor's algorithm for cryptographically relevant problems becomes feasible on neutral-atom systems with as few as 10,000 reconfigurable physical qubits via high-rate quantum error correction.
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Concatenating Algebraic Codes over High-Rate Quantum LDPC Codes
Concatenating quantum Reed-Solomon codes over the gross code via Galois qudits reaches teraquop regime at uniform 10^{-3} noise with reduced overhead.