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.
Williamson, and Theodore J
9 Pith papers cite this work. Polarity classification is still indexing.
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A symmetry-co-designed high-rate QEC architecture with parallel STAR injection on bivariate bicycle codes achieves ~5.5x space savings for TFIM and Fermi-Hubbard simulations versus surface-code STAR.
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 modular atomic processor with 500,000 qubits factors 2048-bit RSA numbers in roughly the same time as a single large module when inter-module Bell-pair communication runs at 10^5 per second.
A programmable 2D toric oscillator network enables efficient routing for bivariate bicycle LDPC codes, reducing long-range couplers to O(sqrt(n)) and achieving 3.06% logical error rate per cycle in simulations for the [[18,4,4]] code.
New structural conditions on affine permutation matrices yield ultra-high-rate quantum LDPC codes (rate >1/2) with near-teraquop logical error rates under circuit-level noise on reconfigurable atom arrays.
Tensor and balanced product codes arise from a coupled-layer construction via anyon condensation on stacked constituent codes.
citing papers explorer
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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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Fast and Parallel High-Rate STAR Architecture for Megaquop Quantum Simulation
A symmetry-co-designed high-rate QEC architecture with parallel STAR injection on bivariate bicycle codes achieves ~5.5x space savings for TFIM and Fermi-Hubbard simulations versus surface-code STAR.
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Full Extractors for Logical Processing in Hypergraph Product Codes
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.
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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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Factoring $2048$ bit RSA integers with a half-million-qubit modular atomic processor
A modular atomic processor with 500,000 qubits factors 2048-bit RSA numbers in roughly the same time as a single large module when inter-module Bell-pair communication runs at 10^5 per second.
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Efficient Routing of Quantum LDPC Codes on Programmable 2D Toric Architectures
A programmable 2D toric oscillator network enables efficient routing for bivariate bicycle LDPC codes, reducing long-range couplers to O(sqrt(n)) and achieving 3.06% logical error rate per cycle in simulations for the [[18,4,4]] code.
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Towards Ultra-High-Rate Quantum Error Correction with Reconfigurable Atom Arrays
New structural conditions on affine permutation matrices yield ultra-high-rate quantum LDPC codes (rate >1/2) with near-teraquop logical error rates under circuit-level noise on reconfigurable atom arrays.
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Coupled-Layer Construction of Quantum Product Codes
Tensor and balanced product codes arise from a coupled-layer construction via anyon condensation on stacked constituent codes.