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

Quantum Physics 2020-01-24 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2001.08405,
  title  = {A Four-Qubits Code that is a Quantum Deletion Error-Correcting Code with the Optimal Length},
  author = {Manabu Hagiwara and Ayumu Nakayama},
  journal= {arXiv preprint arXiv:2001.08405},
  year   = {2020}
}

Comments

3 figures

R2 v1 2026-06-23T13:18:30.192Z