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Single Quantum Deletion Error-Correcting Codes

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arxiv 2004.00814 v1 pith:SIPHUFVH submitted 2020-04-02 quant-ph cs.ITmath.IT

Ayumu Nakayama , Manabu Hagiwara This is my paper · ORCID
classification quant-phcs.ITmath.IT
keywords quantumdeletioncodeserror-correctingconditionserrorsproblemssets
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In this paper, we discuss a construction method of quantum deletion error-correcting codes. First of all, we define deletion errors for quantum states, an encoder, a decoder, and two conditions which is expressed by only the combinatorial language. Then, we prove that quantum deletion error-correcting codes can be constructed by two sets that satisfy the conditions. In other words, problems that correct the deletion errors for quantum states are reduced to problems that find the sets satisfying the condition by this paper. Also, we performed experiment of the codes over IBM Quantum Experience.

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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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