Subsystem bivariate bicycle codes achieve high-rate BB logical qubits with local four-qubit gauge checks, yielding examples such as [[108,12,6]] that outperform surface-code alternatives.
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Toward Low-latency Iterative Decoding of QLDPC Codes Under Circuit-Level Noise
14 Pith papers cite this work. Polarity classification is still indexing.
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LightStim automates DEM construction for QEC protocols via an augmented Pauli tableau during compilation, matching public tools on detector counts and error rates while enabling new cross-code designs.
Z_N bivariate-bicycle codes have essential topological properties determined by their Z_p prime-factor counterparts, enabling generalization of algebraic-geometric methods to anyon fusion rules and resolution of quasifractonic behavior via symmetry-enriched topological order.
An algorithm converts topological data of 2D bulk stabilizer codes into 1D boundary subsystem codes via operator algebra and normal forms, enabling automatic generation of boundaries and defects demonstrated on toric, color, and other codes.
DART-Q shows that cached state organization, overload policies, and service capacity determine whether real-time QLDPC decoders can meet deadlines under finite memory and varying load.
Extending affine subcode ensemble decoding to quantum codes with overcomplete matrices improves BP convergence and reduces logical error rates on toric and generalized bicycle codes.
Edge-coloring eliminates automorphisms in low-weight stabilizer subgraphs of generalized bicycle codes, enabling improved anisotropic min-sum decoding.
A trapped-ion architecture based on LDPC codes and cat-state factories achieves 110 logical qubits and one million T gates per day using 2514 physical qubits, with estimates for Heisenberg model simulation on 100 sites in one month using 10000 qubits.
Bivariate bicycle codes achieve an asymptotic threshold of approximately 0.488 on the quantum erasure channel with BP-OSD decoding, offering modest threshold edge and 12x lower overhead than toric codes under fair baselines.
Local syndrome-based preprocessing accelerates BP decoders for quantum LDPC codes, delivering up to 10x speedup on the [[144,12,12]] code while maintaining or improving logical error rates.
FPGA emulator tests 10^13 error patterns in 20 days and diversity BP decoder matches BP+OSD logical error rates with 30-80% average speed gains and far less post-processing for QLDPC 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.
Simulations show non-local CNOT achieves up to 10x lower logical error than teleportation and distributed qLDPC needs d≈11 at p=10^{-4} or d≈29 at p=10^{-3} (with p_ebit=10p) for <10^{-12} error.
A two-level decoder scheduling framework reduces classical processing requirements for quantum error correction by 10-40% on fault-tolerant benchmarks by managing bursty workloads as shared resources.
citing papers explorer
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Topological subsystem bivariate bicycle codes with four-qubit check operators
Subsystem bivariate bicycle codes achieve high-rate BB logical qubits with local four-qubit gauge checks, yielding examples such as [[108,12,6]] that outperform surface-code alternatives.
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LightStim: A Framework for QEC Protocol Evaluation and Prototyping with Automated DEM Construction
LightStim automates DEM construction for QEC protocols via an augmented Pauli tableau during compilation, matching public tools on detector counts and error rates while enabling new cross-code designs.
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Symmetry-enriched topological order and quasifractonic behavior in $\mathbb{Z}_N$ stabilizer codes
Z_N bivariate-bicycle codes have essential topological properties determined by their Z_p prime-factor counterparts, enabling generalization of algebraic-geometric methods to anyon fusion rules and resolution of quasifractonic behavior via symmetry-enriched topological order.
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Operator algebra and algorithmic construction of boundaries and defects in (2+1)D topological Pauli stabilizer codes
An algorithm converts topological data of 2D bulk stabilizer codes into 1D boundary subsystem codes via operator algebra and normal forms, enabling automatic generation of boundaries and defects demonstrated on toric, color, and other codes.
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DART-Q : A Deadline-Driven Framework for Real-Time QLDPC Decoding
DART-Q shows that cached state organization, overload policies, and service capacity determine whether real-time QLDPC decoders can meet deadlines under finite memory and varying load.
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Affine Subcode Ensemble Decoding for Degeneracy-Aware Quantum Error Correction
Extending affine subcode ensemble decoding to quantum codes with overcomplete matrices improves BP convergence and reduces logical error rates on toric and generalized bicycle codes.
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Edge-Based Anisotropic Decoding for Generalized Bicycle Codes
Edge-coloring eliminates automorphisms in low-weight stabilizer subgraphs of generalized bicycle codes, enabling improved anisotropic min-sum decoding.
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Fault-Tolerant Quantum Computing with Trapped Ions: The Walking Cat Architecture
A trapped-ion architecture based on LDPC codes and cat-state factories achieves 110 logical qubits and one million T gates per day using 2514 physical qubits, with estimates for Heisenberg model simulation on 100 sites in one month using 10000 qubits.
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Fair Decoder Baselines and Rigorous Finite-Size Scaling for Bivariate Bicycle Codes on the Quantum Erasure Channel
Bivariate bicycle codes achieve an asymptotic threshold of approximately 0.488 on the quantum erasure channel with BP-OSD decoding, offering modest threshold edge and 12x lower overhead than toric codes under fair baselines.
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Accelerating BP-based decoders for QLDPC Codes with Local Syndrome-Based Preprocessing
Local syndrome-based preprocessing accelerates BP decoders for quantum LDPC codes, delivering up to 10x speedup on the [[144,12,12]] code while maintaining or improving logical error rates.
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Diversity Methods for Improving Convergence and Accuracy of Quantum Error Correction Decoders Through Hardware Emulation
FPGA emulator tests 10^13 error patterns in 20 days and diversity BP decoder matches BP+OSD logical error rates with 30-80% average speed gains and far less post-processing for QLDPC 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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Transversal Fault Tolerant Distributed Quantum Computing Operations
Simulations show non-local CNOT achieves up to 10x lower logical error than teleportation and distributed qLDPC needs d≈11 at p=10^{-4} or d≈29 at p=10^{-3} (with p_ebit=10p) for <10^{-12} error.
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Managing Classical Processing Requirements for Quantum Error Correction
A two-level decoder scheduling framework reduces classical processing requirements for quantum error correction by 10-40% on fault-tolerant benchmarks by managing bursty workloads as shared resources.