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This paper provides a new instance of quantum deletion error-correctingcodes. This code can correct any single quantum deletion error, while our codeis only of length 4. This paper also provides an example of an encoding quantumcircuit and decoding quantum circuits. It is also proven that the length of anysingle deletion error-correcting codes is greater than or equal to 4. In otherwords, our code is optimal for the code length.

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