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Quantum Error Correction and Fault-Tolerance

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arxiv quant-ph/0507174 v1 pith:JU7NQ3G5 submitted 2005-07-18 quant-ph

classification quant-ph
keywords correctionerrorquantumcodesbasicbehindconceptsconditions
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I give an overview of the basic concepts behind quantum error correction and quantum fault tolerance. This includes the quantum error correction conditions, stabilizer codes, CSS codes, transversal gates, fault-tolerant error correction, and the threshold theorem.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A new approximate Eastin-Knill theorem

    quant-ph 2025-05 conditional novelty 7.0 of 10

    For unitarily covariant codes, approximate correction of local erasure is possible exactly when the conditional min-entropy of the encoded Choi state is at most a simple function of the logical dimension and the allow...

  2. Quantum Circuit Overhead

    quant-ph 2025-05 conditional novelty 6.0 of 10

    Introduces QCO and T-QCO measures and numerically shows that the T gate is non-optimal for completing the Clifford set among order-8 gates.

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