Concatenating quantum Reed-Solomon codes over the gross code via Galois qudits reaches teraquop regime at uniform 10^{-3} noise with reduced overhead.
arXiv preprint arXiv:2603.02157 , year=
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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.
citing papers explorer
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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.
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Forced Gap Post-Selection for Quantum LDPC Codes and their Operations
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.
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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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Shor's algorithm is possible with as few as 10,000 reconfigurable atomic qubits
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.
- Towards Ultra-High-Rate Quantum Error Correction with Reconfigurable Atom Arrays