Reducing the error rate of a superconducting logical qubit using analog readout information
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , , , , , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866929606688243712 |
|---|---|
| author | Ali, Hany Marques, Jorge Crawford, Ophelia Majaniemi, Joonas Serra-Peralta, Marc Byfield, David Varbanov, Boris Terhal, Barbara M. DiCarlo, Leonardo Campbell, Earl T. |
| author_facet | Ali, Hany Marques, Jorge Crawford, Ophelia Majaniemi, Joonas Serra-Peralta, Marc Byfield, David Varbanov, Boris Terhal, Barbara M. DiCarlo, Leonardo Campbell, Earl T. |
| contents | Quantum error correction enables the preservation of logical qubits with a lower logical error rate than the physical error rate, with performance depending on the decoding method. Traditional error decoding approaches, relying on the binarization (`hardening') of readout data, often ignore valuable information embedded in the analog (`soft') readout signal. We present experimental results showcasing the advantages of incorporating soft information into the decoding process of a distance-three ($d=3$) bit-flip surface code with transmons. To this end, we use the $3\times3$ data-qubit array to encode each of the $16$ computational states that make up the logical state $\ket{0_{\mathrm{L}}}$, and protect them against bit-flip errors by performing repeated $Z$-basis stabilizer measurements. To infer the logical fidelity for the $\ket{0_{\mathrm{L}}}$ state, we average across the $16$ computational states and employ two decoding strategies: minimum weight perfect matching and a recurrent neural network. Our results show a reduction of up to $6.8\%$ in the extracted logical error rate with the use of soft information. Decoding with soft information is widely applicable, independent of the physical qubit platform, and could reduce the readout duration, further minimizing logical error rates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_00706 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Reducing the error rate of a superconducting logical qubit using analog readout information Ali, Hany Marques, Jorge Crawford, Ophelia Majaniemi, Joonas Serra-Peralta, Marc Byfield, David Varbanov, Boris Terhal, Barbara M. DiCarlo, Leonardo Campbell, Earl T. Quantum Physics Superconductivity Quantum error correction enables the preservation of logical qubits with a lower logical error rate than the physical error rate, with performance depending on the decoding method. Traditional error decoding approaches, relying on the binarization (`hardening') of readout data, often ignore valuable information embedded in the analog (`soft') readout signal. We present experimental results showcasing the advantages of incorporating soft information into the decoding process of a distance-three ($d=3$) bit-flip surface code with transmons. To this end, we use the $3\times3$ data-qubit array to encode each of the $16$ computational states that make up the logical state $\ket{0_{\mathrm{L}}}$, and protect them against bit-flip errors by performing repeated $Z$-basis stabilizer measurements. To infer the logical fidelity for the $\ket{0_{\mathrm{L}}}$ state, we average across the $16$ computational states and employ two decoding strategies: minimum weight perfect matching and a recurrent neural network. Our results show a reduction of up to $6.8\%$ in the extracted logical error rate with the use of soft information. Decoding with soft information is widely applicable, independent of the physical qubit platform, and could reduce the readout duration, further minimizing logical error rates. |
| title | Reducing the error rate of a superconducting logical qubit using analog readout information |
| topic | Quantum Physics Superconductivity |
| url | https://arxiv.org/abs/2403.00706 |