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Efficient Computations of Encodings for Quantum Error Correction

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arxiv quant-ph/9607030 v1 pith:CLVY7364 submitted 1996-08-01 quant-ph

classification quant-ph
keywords arraycodecodewordsefficientgategeneratorsn-qubitquantum
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We show how, given any set of generators of the stabilizer of a quantum code, an efficient gate array that computes the codewords can be constructed. For an n-qubit code whose stabilizer has d generators, the resulting gate array consists of O(n d) operations, and converts k-qubit data (where k = n - d) into n-qubit codewords.

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  1. The Delayed Stabilizer ZX-Calculus

    quant-ph 2026-07 accept novelty 7.0 of 10

    A complete delayed stabilizer ZX-calculus with delay generator, generating-tableau semantics, and unique normal forms via generalized local complementation captures infinite translation-invariant stabilizer processes.

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