New construction of nine-qubit error-correcting code
- URL: http://arxiv.org/abs/2110.05130v4
- Date: Mon, 15 Nov 2021 05:10:49 GMT
- Title: New construction of nine-qubit error-correcting code
- Authors: Long Huang, and Xiaohua Wu
- Abstract summary: We report new construction of nine-qubit error-correcting code, which introduces two new nine-qubit codes and one new three-qubit code.
Because both the new two nine-qubit codes have normal logical operators, as opposed to the nine-qubit Shor code, it results in different performance when the three codes are applied in quantum error-correction.
- Score: 0.7519872646378836
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We report new construction of nine-qubit error-correcting code, which
introduces two new nine-qubit codes and one new three-qubit code. Because both
the new two nine-qubit codes have the normal logical operators, as opposed to
the nine-qubit Shor code, it results in different performance when the three
codes are applied in concatenated quantum error-correction. On the other hand,
one of the two nine-qubit codes has the same stabilizer generators as the
nine-qubit Shor code, they are more suitable for the high-wight bit-flip noise,
and the other code has the different stabilizer generators, which is more
suitable for the high-wight phase-flip noise. This work is enlightening to the
construction of quantum error-correcting codes, and adds more options for
optimizing the performance of quantum error-correction.
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