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New construction of nine-qubit error-correcting code
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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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Cited by 1 Pith paper
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Three-Qubit State Preparation: Classification and Explicit Circuits
A deterministic five-type classification of three-qubit pure states yields explicit, connectivity-aware circuit templates whose gate parameters are computed directly from the target amplitudes.
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