Toric code decodability under coherent X/Z errors is dual to Majorana monitored dynamics whose symmetry class (D or DIII) dictates whether the generic transition is a measurement-induced entanglement transition or a topological transition between area-law phases.
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Sdim is the first open-source qudit stabilizer simulator supporting all dimensions, enabling circuit evaluation and sampling for qudit fault-tolerant quantum computing research.
Bivariate bicycle codes enable a modular architecture that supports an order of magnitude more logical circuit volume per physical qubit than surface-code designs under circuit noise.
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.
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.
A design framework that converts an eight-to-three CCZ distillation protocol into a joint-measurement surface-code layout using smaller patches, claimed to cut spatial cost versus Gidney-Fowler while preserving leading-order error suppression and single-fault detection.
Sparse Mamba Decoder processes only active defects in surface code syndromes using a 13-feature representation and Mamba backbone for O(k) complexity, reporting speedups and accuracy gains over dense decoders.
Symmetry counting of error configurations yields closed-form approximations for logical error rates in surface codes.
Quasi-orthogonal stabilizer codes relax orthogonality constraints to achieve higher logical rates and up to two orders of magnitude better error suppression under depolarizing noise.
LDGM codes enable syndrome measurement for QLDPC codes with controlled constant-weight stabilizers, yielding lower logical error rates than repeated extraction on a distance-5 surface code.
Adaptive window decoding with spatiotemporal complementary gap reduces average buffer size by 40% while maintaining logical error rate in quantum error correction simulations.
Three architectural types for fault-tolerant distributed quantum computing exhibit distinct scaling of Bell-pair consumption and generation attempts with code distance in planar surface and toric codes.
Speculative decoding for QEC reduces waiting time for prior windows but yields gains only under high speculation accuracy and low decoder latency; non-speculative decoders outperform under other conditions across gate speeds and platforms.
A topical review unifying statistical mechanics, tensor network, and AI approaches to approximate maximum likelihood decoding for quantum error correction codes.
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