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supports论文证据 · supports论文证据 · supports论文证据 · supports论文证据 · supports论文证据 · supports论文证据 · supports论文证据 · supports论文证据 · supports论文证据 · supports论文证据 · supports论文证据 · supports论文证据 · supports论文证据 · supports论文证据 · supports论文证据 · supports论文证据 · supports论文证据 · supports论文证据 · supports论文证据 · supports论文证据 · supports论文证据 · supports论文证据 · supports任务与约束设计噪声假设QEC 数学形式稳定子与逻辑算符稳定子与逻辑算符量子码族选择量子码族选择Shor [[9,1,3]]5-qubit [[5,1,3]]Surface codeSurface codeHypergraph-productHypergraph-product现代 qLDPC 构造现代 qLDPC 构造Bivariate bicycleBivariate bicycle码参数与可实现性分析码参数与可实现性分析物理初始化与 reset逻辑态制备编码线路综合Ancilla 策略稳定子→测量线路稳定子→测量线路并行调度与硬件映射并行调度与硬件映射重复 syndrome extraction重复 syndrome extraction容错逻辑操作容错逻辑操作物理平台物理平台物理噪声作用物理噪声作用错误传播与 fault sets错误传播与 fault sets原始测量结果原始测量结果SyndromeSyndromeDetection eventsDetection events解码图 / Tanner graph解码图 / Tanner graph先验与在线噪声估计窗口化实时输入窗口化实时输入最终逻辑读出Decoder 选择Decoder 选择Lookup / 最大似然Lookup / 最大似然Matching 系Matching 系Union-Find / clusteringBelief propagationBelief propagationBP + OSDBP + OSD现代 BP 后处理现代 BP 后处理局部 / flip 解码Tensor / sampling机器学习 Decoder错误估计与逻辑类错误估计与逻辑类恢复策略Pauli frame / feed-forwardPauli frame / feed-forward逻辑存储循环逻辑存储循环容错计算层容错计算层Monte Carlo 仿真Monte Carlo 仿真核心指标核心指标评测噪声层级评测噪声层级阈值与标度分析实时 Decoder 实现联合优化闭环论文 / 软件 / 实验Steane [[7,1,3]]Color codeColor codeXZZX surface codeFloquet codeBacon–Shor subsystemGKP codeGKP codeCat codeCat codeBinomial codeBinomial codeQuantum Tanner codeQuantum expander codeQuantum expander codeCode × Stack 兼容性Code × Stack 兼容性Flag syndrome extractionFlag syndrome extractionSingle-shot QECBosonic syndrome extractionBosonic syndrome extraction偏置噪声与 bias preservation偏置噪声与 bias preservationErasure / loss / leakage 标记Erasure / loss / leakage 标记Restriction / projection decoderRestriction / projection de…Small-set-flip / local flipErasure / peeling decoderAnalog / soft-information decoderAnalog / soft-information d…Balanced-product qLDPC codesLifted-product qLDPC codesQuantum repetition codeToric codeConcatenated quantum codesEntanglement-assisted quantum codesHeavy-hexagon and subsystem hardware codesHomological-product codesMultimode bosonic and oscillator codesQuantum polar codesQuantum Reed–Muller codesSubsystem surface codesBelief-matching decoderBP + localized statistics decodingCorrelated matchingRenormalization-group decoderWindowed and streaming decoderCellular-automaton decoderInteger-programming decoderSAT / MaxSAT decoder电路级随机噪声相干与系统性噪声时空相关噪声计算子空间泄漏测量、分类与 reset 噪声串扰、漂移与校准失配非马尔可夫噪声规范算符测量与处理晶格手术联合逻辑测量Shor / cat-state syndrome 提取软判决与模拟 syndrome 信息Steane 编码 ancilla syndrome 提取自适应 syndrome 提取冗余 syndrome 与 metacheck 结构容错码切换Gauge fixing 逻辑协议Lattice surgery 逻辑协议Magic-state distillationqLDPC 逻辑门与测量逻辑态注入横向逻辑门码形变与编织分段式容错逻辑门基于量子隐形传态的纠错与逻辑门Bosonic cavity 与 oscillator QEC 平台低温与近 QPU 经典控制中性原子 QEC 平台光子与光学 QEC 平台实时 QEC 反馈栈实时 QEC 反馈栈半导体自旋 QEC 平台超导电路 QEC 平台离子阱 QEC 平台低于阈值的 QEC 实验低于阈值的 QEC 实验Bosonic QEC break-even 实验容错逻辑门实验随码距增长的逻辑错误抑制中性原子逻辑处理器实验集成实时解码实验集成实时解码实验重复码标度实验小型稳定子码纠错实验重复 surface-code QEC 实验QEC benchmark 可复现协议Break-even 与低于阈值 benchmark线路距离与 fault-distance 分析Decoder 延迟与吞吐 benchmark逻辑操作 benchmark容错资源开销估算Bosonic QiskitChromobius color-code decoderLDPC quantum decoder libraryPECOS QEC simulatorPyMatching decoderqLDPC construction libraryStim stabilizer simulatorTQEC topological compilerBosonic-qLDPC analog decoding datasetChromobius color-code circuits and decoder dataGoogle below-threshold QEC datasetColor-code scaling and logic datasetLeakage-removal QEC datasetqLDPC LP/OSD decoder datasetMemristive neural-decoder syndrome datasetReal-time decoder benchmark datasetYoked surface-code datasetKnill–Laflamme error-correction conditionsFault-tolerance gadgets and malignant fault setsQuantum accuracy-threshold theoremError Correction ZooQuantum LDPC codes perspectiveQuantum error correction for quantum memoriesFault-tolerance educational materialQuantum Error Correction: An Introductory GuideQuantum code boundsSubsystem and operator quantum error correctionQuantum successive-cancellation decoderTwo-block group-algebra codesGeneralized Bicycle codesFiber-bundle qLDPC codesPerformance and structure of single-mode bosonic codesPerformance and structure o…High-Threshold Fault-Tolerant Quantum Computation with Analog Quantum Error CorrectionHigh-Threshold Fault-Tolera…Extending the lifetime of a quantum bit with error correction in superconducting circuitsExtending the lifetime of a…Quantum error correction and universal gate set operation on a binomial bosonic logical qubitQuantum error correction an…Quantum error correction of a qubit encoded in grid states of an oscillatorQuantum error correction of…Error-transparent operations on a logical qubit protected by quantum error correctionError-transparent operation…Real-time quantum error correction beyond break-evenReal-time quantum error cor…Fault-tolerant quantum computation against biased noiseFault-tolerant quantum comp…Tailoring Surface Codes for Highly Biased NoiseTailoring Surface Codes for…Bias-preserving gates with stabilized cat qubitsBias-preserving gates with …Thresholds for Topological Codes in the Presence of LossThresholds for Topological …Fault Tolerant Quantum Computation with Very High Threshold for Loss ErrorsFault Tolerant Quantum Comp…Coping with qubit leakage in topological codesCoping with qubit leakage i…Linear-Time Maximum Likelihood Decoding of Surface Codes over the Quantum Erasure ChannelLinear-Time Maximum Likelih…Overcoming leakage in quantum error correctionOvercoming leakage in quant…Stabilizer Codes and Quantum Error CorrectionStabilizer Codes and Quantu…Scheme for reducing decoherence in quantum computer memoryScheme for reducing decoher…Perfect Quantum Error Correction CodePerfect Quantum Error Corre…Topological quantum memoryTopological quantum memoryQuantum Low-Density Parity-Check CodesQuantum Low-Density Parity-…Decoding across the quantum low-density parity-check code landscapeDecoding across the quantum…Combining hard and soft decoders for hypergraph product codesCombining hard and soft dec…Quantum LDPC codes with positive rate and minimum distance proportional to n^{1/2}Quantum LDPC codes with pos…Degenerate Quantum LDPC Codes With Good Finite Length PerformanceDegenerate Quantum LDPC Cod…Balanced Product Quantum CodesBalanced Product Quantum Co…Quantum LDPC Codes with Almost Linear Minimum DistanceQuantum LDPC Codes with Alm…Asymptotically Good Quantum and Locally Testable Classical LDPC CodesAsymptotically Good Quantum…High-threshold and low-overhead fault-tolerant quantum memoryHigh-threshold and low-over…Almost-linear time decoding algorithm for topological codesAlmost-linear time decoding…Efficient algorithms for maximum likelihood decoding in the surface codeEfficient algorithms for ma…Belief Propagation Decoding of Quantum LDPC Codes with Guided DecimationBelief Propagation Decoding…Check-Agnosia based Post-Processor for Message-Passing Decoding of Quantum LDPC CodesCheck-Agnosia based Post-Pr…Learning high-accuracy error decoding for quantum processorsLearning high-accuracy erro…Quantum error correction below the surface code thresholdQuantum error correction be…Machine Learning Decoding of Circuit-Level Noise for Bivariate Bicycle CodesMachine Learning Decoding o…Decoding correlated errors in quantum LDPC codesDecoding correlated errors …Snowflake: A Distributed Streaming DecoderSnowflake: A Distributed St…Constant-overhead fault-tolerant quantum computation with reconfigurable atom arraysConstant-overhead fault-tol…Simple Quantum Error Correcting CodesSimple Quantum Error Correc…Topological Quantum DistillationTopological Quantum Distill…Fault-tolerant quantum computing with color codesFault-tolerant quantum comp…Color code decoder with improved scaling for correcting circuit-level noiseColor code decoder with imp…The XZZX surface codeThe XZZX surface codeDynamically Generated Logical QubitsDynamically Generated Logic…Operator Quantum Error Correcting Subsystems for Self-Correcting Quantum MemoriesOperator Quantum Error Corr…Encoding a qubit in an oscillatorEncoding a qubit in an osci…Dynamically protected cat-qubits: a new paradigm for universal quantum computationDynamically protected cat-q…New class of quantum error-correcting codes for a bosonic modeNew class of quantum error-…Quantum Tanner codesQuantum Tanner codesDecoding quantum Tanner codesDecoding quantum Tanner cod…Quantum Expander CodesQuantum Expander CodesSingle-Shot Fault-Tolerant Quantum Error CorrectionSingle-Shot Fault-Tolerant …Flag fault-tolerant error correction, measurement, and quantum computation for cyclic Calderbank-Shor-Steane codesFlag fault-tolerant error c…Flag Fault-Tolerant Error Correction for any Stabilizer CodeFlag Fault-Tolerant Error C…Surface codes: Towards practical large-scale quantum computationSurface codes: Towards prac…Realizing repeated quantum error correction in a distance-three surface codeRealizing repeated quantum …Suppressing quantum errors by scaling a surface code logical qubitSuppressing quantum errors …Pipelined correlated minimum weight perfect matching of the surface codePipelined correlated minimu…Quantum Low-Density Parity-Check Codes for Modular ArchitecturesQuantum Low-Density Parity-…Bias-tailored quantum LDPC codesBias-tailored quantum LDPC …A repetition code of 15 qubitsA repetition code of 15 qub…Exponential suppression of bit or phase errors with cyclic error correctionExponential suppression of …Fault-tolerant quantum computation by anyonsFault-tolerant quantum comp…Quantum accuracy threshold for concatenated distance-3 codesQuantum accuracy threshold …Quantum computing with realistically noisy devicesQuantum computing with real…Observation of a fault tolerance threshold with concatenated codesObservation of a fault tole…Correcting quantum errors with entanglementCorrecting quantum errors w…Topological and Subsystem Codes on Low-Degree Graphs with Flag QubitsTopological and Subsystem C…Homological product codesHomological product codesEncoding an Oscillator into Many OscillatorsEncoding an Oscillator into…Optimal encoding of oscillators into more oscillatorsOptimal encoding of oscilla…Efficient Quantum Polar Codes Requiring No Preshared EntanglementEfficient Quantum Polar Cod…Quantum polar codes for arbitrary channelsQuantum polar codes for arb…Quantum Reed-Muller codesQuantum Reed-Muller codesMorphing Quantum CodesMorphing Quantum CodesSubsystem surface codes with three-qubit check operatorsSubsystem surface codes wit…Subsystem Codes with High Thresholds by Gauge Fixing and Reduced Qubit OverheadSubsystem Codes with High T…Improved Single-Shot Decoding of Higher-Dimensional Hypergraph-Product CodesImproved Single-Shot Decodi…Improved Decoding of Circuit Noise and Fragile Boundaries of Tailored Surface CodesImproved Decoding of Circui…Localized statistics decoding for quantum low-density parity-check codesLocalized statistics decodi…Efficient post-selection for general quantum LDPC CodesEfficient post-selection fo…Fast Decoders for Topological Quantum CodesFast Decoders for Topologic…Rescaling decoder for two-dimensional topological quantum color codes on 4.8.8 latticesRescaling decoder for two-d…Parallel window decoding enables scalable fault tolerant quantum computationParallel window decoding en…Scalable Surface-Code Decoders with Parallelization in TimeScalable Surface-Code Decod…Cellular-automaton decoders for topological quantum memoriesCellular-automaton decoders…Cellular automaton decoders for topological quantum codes with noisy measurements and beyondCellular automaton decoders…Decoding holographic codes with an integer optimization decoderDecoding holographic codes …Decoding quantum color codes with MaxSATDecoding quantum color code…Quantum Error Correction Decoheres NoiseQuantum Error Correction De…Logical error rates for the surface code under a mixed coherent and stochastic circuit-level noise model inspired by trapped ionsLogical error rates for the…Surface Code Threshold in the Presence of Correlated ErrorsSurface Code Threshold in t…Resilience to Time-Correlated Noise in Quantum ComputationResilience to Time-Correlat…Continuous quantum correction on Markovian and non-Markovian modelsContinuous quantum correcti…Optimization of Decoder Priors for Accurate Quantum Error CorrectionOptimization of Decoder Pri…Scalable Noise Characterization of Syndrome-Extraction Circuits with Averaged Circuit Eigenvalue SamplingScalable Noise Characteriza…Surface code quantum computing by lattice surgerySurface code quantum comput…Entangling logical qubits with lattice surgeryEntangling logical qubits w…Between Shor and Steane: A Unifying Construction for Measuring Error SyndromesBetween Shor and Steane: A …Fault-tolerant syndrome extraction and cat state preparation with fewer qubitsFault-tolerant syndrome ext…Demonstration of Fault-Tolerant Steane Quantum Error CorrectionDemonstration of Fault-Tole…Adaptive Syndrome ExtractionAdaptive Syndrome ExtractionFault-Tolerant Conversion between the Steane and Reed-Muller Quantum CodesFault-Tolerant Conversion b…Experimental fault-tolerant code switchingExperimental fault-tolerant…Gauge color codes: optimal transversal gates and gauge fixing in topological stabilizer codesGauge color codes: optimal …Universal quantum computation with ideal Clifford gates and noisy ancillasUniversal quantum computati…Efficient Magic State Distillation by Zero-Level DistillationEfficient Magic State Disti…Fault-Tolerant Gates on Hypergraph Product CodesFault-Tolerant Gates on Hyp…Magic state injection on IBM quantum processors above the distillation thresholdMagic state injection on IB…Restrictions on Transversal Encoded Quantum Gate SetsRestrictions on Transversal…Quantum measurements and gates by code deformationQuantum measurements and ga…Universal Fault-Tolerant Gates on Concatenated Stabilizer CodesUniversal Fault-Tolerant Ga…Demonstrating the viability of universal quantum computation using teleportation and single-qubit operationsDemonstrating the viability…Logical quantum processor based on reconfigurable atom arraysLogical quantum processor b…Fault-tolerant control of an error-corrected qubitFault-tolerant control of a…Demonstration of fault-tolerant universal quantum gate operationsDemonstration of fault-tole…Quantum error correction with silicon spin qubitsQuantum error correction wi…Experimental demonstration of topological error correctionExperimental demonstration …Encoding Error Correction in an Integrated Photonic ChipEncoding Error Correction i…Scaling and networking a modular photonic quantum computerScaling and networking a mo…Realization of Real-Time Fault-Tolerant Quantum Error CorrectionRealization of Real-Time Fa…Controller-decoder system requirements derived by implementing Shor's algorithm with surface codeController-decoder system r…Stim: a fast stabilizer circuit simulatorStim: a fast stabilizer cir…PyMatching: A Python Package for Decoding Quantum Codes with Minimum-Weight Perfect MatchingPyMatching: A Python Packag…Sparse Blossom: correcting a million errors per core second with minimum-weight matchingSparse Blossom: correcting …A real-time, scalable, fast and resource-efficient decoder for a quantum computerA real-time, scalable, fast…Theory of quantum error-correcting codesTheory of quantum error-cor…Quantum error correction for quantum memoriesQuantum error correction fo…Quantum Error Correction: Noise-Adapted Techniques and ApplicationsQuantum Error Correction: N…Handbook of Error-Correcting CodesHandbook of Error-Correctin…CURIE: Evaluating LLMs On Multitask Scientific Long Context Understanding and ReasoningCURIE: Evaluating LLMs On M…Quantum error correction: an introductory guideQuantum error correction: a…Class of quantum error-correcting codes saturating the quantum Hamming boundClass of quantum error-corr…Fiber Bundle Codes: Breaking the N^(1/2) polylog(N) Barrier for Quantum LDPC CodesFiber Bundle Codes: Breakin…Quantum two-block group algebra codesQuantum two-block group alg…Quantum Kronecker sum-product low-density parity-check codes with finite rateQuantum Kronecker sum-produ…Distance Bounds for Generalized Bicycle CodesDistance Bounds for General…StimStimPyMatchingPyMatchingLDPCLDPCChromobiusChromobiusTQECTQECPECOSPECOSBosonic QiskitBosonic QiskitqLDPCqLDPCQuantum error correction below the surface code threshold 数据集Quantum error correction be…Scaling and logic in the color code 数据集Scaling and logic in the co…Yoked Surface Codes 数据Yoked Surface Codes 数据New circuits and an open source decoder for the color code 数据New circuits and an open so…Real-time scalable decoder benchmark dataReal-time scalable decoder …Memristive Neural Decoder Syndromes DatasetMemristive Neural Decoder S…Overcoming leakage in quantum error correction 数据集Overcoming leakage in quant…Bosonic QLDPC Analog Decoding Raw Simulation DataBosonic QLDPC Analog Decodi…Data for Power and Limitations of Linear Programming Decoder for Quantum LDPC CodesData for Power and Limitati…
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