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- W4288804968 abstract "We describe a class of neighboring-blocks stabilizer quantum error correction codes and demonstrate that such class of codes can be implemented in a resource-efficient manner using a single ancilla and circular near-neighbor qubit connectivity. We propose an implementation for syndrome-measurement circuits for codes from the class and illustrate its workings for cases of three-, five-, and nine-qubits stabilizer code schemes. For three- and five-qubit codes suggested scheme has the property that it uses only native two-qubit CNS (CNOT-SWAP) gates, which potentially reduces the amount of non-correctable errors due to the shorter gate time. We developed efficient decoding procedures for repetition codes and the five-qubit code using a minimum weight-perfect matching approach to account for the specific order of measurements in our scheme. The analysis of noise levels for which the scheme could show improvements in the fidelity of a stored logical state in the three- and five-qubit cases is provided. We complement our results by realizing the developed scheme for a three-qubit code using a cloud-based quantum processor and the five-qubit code using the state-vector simulator." @default.
- W4288804968 created "2022-07-30" @default.
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- W4288804968 date "2022-07-27" @default.
- W4288804968 modified "2023-10-16" @default.
- W4288804968 title "Realizing a class of stabilizer quantum error correction codes using a single ancilla and circular connectivity" @default.
- W4288804968 doi "https://doi.org/10.48550/arxiv.2207.13356" @default.
- W4288804968 hasPublicationYear "2022" @default.
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