Error Correction of Transversal cnot Gates for Scalable Surface-Code Computation
Recent experimental advances have made it possible to implement logical multiqubit transversal gates on surface codes in a multitude of platforms. A transversal controlled-not (tcnot) gate on two surface codes introduces correlated errors across the code blocks and thus requires modified decoding co...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-05-01
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| Series: | PRX Quantum |
| Online Access: | http://doi.org/10.1103/PRXQuantum.6.020326 |
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| _version_ | 1850187402977476608 |
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| author | Kaavya Sahay Yingjia Lin Shilin Huang Kenneth R. Brown Shruti Puri |
| author_facet | Kaavya Sahay Yingjia Lin Shilin Huang Kenneth R. Brown Shruti Puri |
| author_sort | Kaavya Sahay |
| collection | DOAJ |
| description | Recent experimental advances have made it possible to implement logical multiqubit transversal gates on surface codes in a multitude of platforms. A transversal controlled-not (tcnot) gate on two surface codes introduces correlated errors across the code blocks and thus requires modified decoding compared to established methods of decoding surface-code quantum memory (SCQM) or lattice-surgery operations. In this work, we examine and benchmark the performance of three different decoding strategies for the tcnot for scalable fault-tolerant quantum computation. In particular, we present a low-complexity decoder based on minimum-weight perfect matching (MWPM) that achieves the same threshold as the SCQM MWPM decoder. We extend our analysis with a study of tailored decoding of a transversal-teleportation circuit, along with a comparison between the performance of lattice-surgery and transversal operations under Pauli- and erasure-noise models. Our investigation builds toward systematic estimation of the cost of implementing large-scale quantum algorithms based on transversal gates in the surface code. |
| format | Article |
| id | doaj-art-ea863449b9c64c4ea7e568a93844231a |
| institution | OA Journals |
| issn | 2691-3399 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | PRX Quantum |
| spelling | doaj-art-ea863449b9c64c4ea7e568a93844231a2025-08-20T02:16:06ZengAmerican Physical SocietyPRX Quantum2691-33992025-05-016202032610.1103/PRXQuantum.6.020326Error Correction of Transversal cnot Gates for Scalable Surface-Code ComputationKaavya SahayYingjia LinShilin HuangKenneth R. BrownShruti PuriRecent experimental advances have made it possible to implement logical multiqubit transversal gates on surface codes in a multitude of platforms. A transversal controlled-not (tcnot) gate on two surface codes introduces correlated errors across the code blocks and thus requires modified decoding compared to established methods of decoding surface-code quantum memory (SCQM) or lattice-surgery operations. In this work, we examine and benchmark the performance of three different decoding strategies for the tcnot for scalable fault-tolerant quantum computation. In particular, we present a low-complexity decoder based on minimum-weight perfect matching (MWPM) that achieves the same threshold as the SCQM MWPM decoder. We extend our analysis with a study of tailored decoding of a transversal-teleportation circuit, along with a comparison between the performance of lattice-surgery and transversal operations under Pauli- and erasure-noise models. Our investigation builds toward systematic estimation of the cost of implementing large-scale quantum algorithms based on transversal gates in the surface code.http://doi.org/10.1103/PRXQuantum.6.020326 |
| spellingShingle | Kaavya Sahay Yingjia Lin Shilin Huang Kenneth R. Brown Shruti Puri Error Correction of Transversal cnot Gates for Scalable Surface-Code Computation PRX Quantum |
| title | Error Correction of Transversal cnot Gates for Scalable Surface-Code Computation |
| title_full | Error Correction of Transversal cnot Gates for Scalable Surface-Code Computation |
| title_fullStr | Error Correction of Transversal cnot Gates for Scalable Surface-Code Computation |
| title_full_unstemmed | Error Correction of Transversal cnot Gates for Scalable Surface-Code Computation |
| title_short | Error Correction of Transversal cnot Gates for Scalable Surface-Code Computation |
| title_sort | error correction of transversal cnot gates for scalable surface code computation |
| url | http://doi.org/10.1103/PRXQuantum.6.020326 |
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