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A Four-Qubits Code that is a Quantum Deletion Error-Correcting Code with the Optimal Length

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arxiv 2001.08405 v1 pith:F5543QOK submitted 2020-01-23 quant-ph

Manabu Hagiwara , Ayumu Nakayama This is my paper · ORCID
classification quant-ph
keywords codequantumdeletionlengtherror-correctingcodesoptimalprovides
verification ladder T0 review T1 audit T2 compute T3 formal
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This paper provides a new instance of quantum deletion error-correcting codes. This code can correct any single quantum deletion error, while our code is only of length 4. This paper also provides an example of an encoding quantum circuit and decoding quantum circuits. It is also proven that the length of any single deletion error-correcting codes is greater than or equal to 4. In other words, our code is optimal for the code length.

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  1. An angular momentum approach to quantum insertion errors

    quant-ph 2025-09 conditional novelty 6.0 of 10

    A two-measurement syndrome extraction and teleportation-based recovery corrects single qubit insertion errors on gapped permutation-invariant codes.

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