Back to search

Article

Finite-Size Decoding Guarantees for Stabilizer Quantum Error-Correcting Codes

2025-12-19

Abstract excerpt

<title>Abstract</title> <p>We develop a general framework for bounding logical error probabilities at finite code distance in stabilizer quantum error-correcting codes. Rather than relying on asymptotic threshold argu ments, the analysis isolates decoder locality and control over syndrome connectivity as sufficient conditions for exponential suppression of logical errors at finite size. Under a stochastic Pauli n...

Topics

Open a Topic to create a Post that cites this publication.

Identifiers and source

Literature Corpus work
a43516c2-627a-5edf-b32e-f99a467fa559
DOI
10.21203/rs.3.rs-8391899/v1
Open publication

Related research

Semantic proximity does not establish scientific evidence.

Click a neighbor to travelStep 1 · 12 closest
Interactive article relationship graphSelect a related publication card to move it into the centre and load its closest explainable connections. Solid lines are source-backed structured connections. Dashed lines are semantic discovery signals and are not scientific evidence.
Finite-Size Decoding Guarantees for Stabilizer Quantum Error-Correcting CodesDOI 10.21203/rs.3.rs-8391899/v1
Quantum Error Correction and Fault-Tolerant Computing: Recent Progress in Codes, Decoders, and ArchitecturesSemantic proximity
Quantum Error Correction and Fault-Tolerant Computing: Recent Progress in Codes, Decoders, and ArchitecturesSemantic proximity
The XZZX surface codeSemantic proximity
Syndrome decoding by quantum approximate optimizationSemantic proximity
Three Sheets, One Architecture: Inter-Sheet Logical Gates for K=4 Quantum Error CorrectionSemantic proximity
Two-Stage Neural Residual Decoding for FastSurface-Code Quantum Error CorrectionSemantic proximity
Transformer-Based Quantum Error Decoding Enhanced by QGANs: Towards Scalable Surface Code Correction AlgorithmsSemantic proximity
Symmetry-Aware Independent Bit-Flip: Identifiability-Guided Distribution Learning for Quantum Noise SimulationSemantic proximity
Operational Copy Time and Audited Closure: A Locality–Mixing Separation Diagnostic for Open Quantum DynamicsSemantic proximity
The Fluctuation-Dissipation Compilation Theorem: A Unified Framework for Thermodynamically Optimal ComputingSemantic proximity
The coding capacity of SARS-CoV-2Semantic proximity
A BKW-Style Solver for the Restricted Syndrome Decoding ProblemSemantic proximity
Select a neighboring publication to make it the new centre.