High-rate quantum LDPC codes for long-range-connected neutral atom registers
Abstract High-rate quantum error correcting (QEC) codes with moderate overheads in qubit number and control complexity are highly desirable for achieving fault-tolerant quantum computing. Recently, quantum error correction has experienced significant progress both in code development and experimenta...
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| Format: | Article |
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Nature Portfolio
2025-01-01
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| Series: | Nature Communications |
| Online Access: | https://doi.org/10.1038/s41467-025-56255-5 |
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| author | Laura Pecorari Sven Jandura Gavin K. Brennen Guido Pupillo |
| author_facet | Laura Pecorari Sven Jandura Gavin K. Brennen Guido Pupillo |
| author_sort | Laura Pecorari |
| collection | DOAJ |
| description | Abstract High-rate quantum error correcting (QEC) codes with moderate overheads in qubit number and control complexity are highly desirable for achieving fault-tolerant quantum computing. Recently, quantum error correction has experienced significant progress both in code development and experimental realizations, with neutral atom qubit architecture rapidly establishing itself as a leading platform in the field. Scalable quantum computing will require processing with QEC codes that have low qubit overhead and large error suppression, and while such codes do exist, they involve a degree of non-locality that has yet to be integrated into experimental platforms. In this work, we analyze a family of high-rate Low-Density Parity-Check (LDPC) codes with limited long-range interactions and outline a near-term implementation in neutral atom registers. By means of circuit-level simulations, we find that these codes outperform surface codes in all respects when the two-qubit nearest neighbour gate error probability is below ~ 0.1%. By using multiple laser colors, we show how these codes can be natively integrated in two-dimensional static neutral atom qubit architectures with open boundaries, where the desired long-range connectivity can be targeted via the Rydberg blockade interaction. |
| format | Article |
| id | doaj-art-cd407a3097a24c6f8a93cdf8794fba9a |
| institution | Kabale University |
| issn | 2041-1723 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Nature Communications |
| spelling | doaj-art-cd407a3097a24c6f8a93cdf8794fba9a2025-02-02T12:32:46ZengNature PortfolioNature Communications2041-17232025-01-011611910.1038/s41467-025-56255-5High-rate quantum LDPC codes for long-range-connected neutral atom registersLaura Pecorari0Sven Jandura1Gavin K. Brennen2Guido Pupillo3University of Strasbourg and CNRS, CESQ and ISIS (UMR 7006), aQCessUniversity of Strasbourg and CNRS, CESQ and ISIS (UMR 7006), aQCessUniversity of Strasbourg and CNRS, CESQ and ISIS (UMR 7006), aQCessUniversity of Strasbourg and CNRS, CESQ and ISIS (UMR 7006), aQCessAbstract High-rate quantum error correcting (QEC) codes with moderate overheads in qubit number and control complexity are highly desirable for achieving fault-tolerant quantum computing. Recently, quantum error correction has experienced significant progress both in code development and experimental realizations, with neutral atom qubit architecture rapidly establishing itself as a leading platform in the field. Scalable quantum computing will require processing with QEC codes that have low qubit overhead and large error suppression, and while such codes do exist, they involve a degree of non-locality that has yet to be integrated into experimental platforms. In this work, we analyze a family of high-rate Low-Density Parity-Check (LDPC) codes with limited long-range interactions and outline a near-term implementation in neutral atom registers. By means of circuit-level simulations, we find that these codes outperform surface codes in all respects when the two-qubit nearest neighbour gate error probability is below ~ 0.1%. By using multiple laser colors, we show how these codes can be natively integrated in two-dimensional static neutral atom qubit architectures with open boundaries, where the desired long-range connectivity can be targeted via the Rydberg blockade interaction.https://doi.org/10.1038/s41467-025-56255-5 |
| spellingShingle | Laura Pecorari Sven Jandura Gavin K. Brennen Guido Pupillo High-rate quantum LDPC codes for long-range-connected neutral atom registers Nature Communications |
| title | High-rate quantum LDPC codes for long-range-connected neutral atom registers |
| title_full | High-rate quantum LDPC codes for long-range-connected neutral atom registers |
| title_fullStr | High-rate quantum LDPC codes for long-range-connected neutral atom registers |
| title_full_unstemmed | High-rate quantum LDPC codes for long-range-connected neutral atom registers |
| title_short | High-rate quantum LDPC codes for long-range-connected neutral atom registers |
| title_sort | high rate quantum ldpc codes for long range connected neutral atom registers |
| url | https://doi.org/10.1038/s41467-025-56255-5 |
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