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Pasting Quantum Codes

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arxiv quant-ph/9607027 v1 pith:BLEC4EYB submitted 1996-07-31 quant-ph

Daniel Gottesman This is my paper
classification quant-ph
keywords codesqubitsquantummethodpastingcertaincodeconstruct
verification ladder T0 review T1 audit T2 compute T3 formal
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I describe a method for pasting together certain quantum error-correcting codes that correct one error to make a single larger one-error quantum code. I show how to construct codes encoding 7 qubits in 13 qubits using the method, as well as 15 qubits in 21 qubits and all the other "perfect" codes.

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  1. Design Automation in Quantum Error Correction

    quant-ph 2025-07 conditional novelty 2.0 of 10

    A comprehensive review of automated tools and methods for designing quantum error-corrected circuits, with case studies on T-gate optimization, surface-code layout, ML decoders, and verification.

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