Lattice Surgery for Dummies
Quantum error correction (QEC) plays a crucial role in correcting noise and paving the way for fault-tolerant quantum computing. This field has seen significant advancements, with new quantum error correction codes emerging regularly to address errors effectively. Among these, topological codes, par...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-03-01
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| Series: | Sensors |
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| Online Access: | https://www.mdpi.com/1424-8220/25/6/1854 |
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| author | Avimita Chatterjee Subrata Das Swaroop Ghosh |
| author_facet | Avimita Chatterjee Subrata Das Swaroop Ghosh |
| author_sort | Avimita Chatterjee |
| collection | DOAJ |
| description | Quantum error correction (QEC) plays a crucial role in correcting noise and paving the way for fault-tolerant quantum computing. This field has seen significant advancements, with new quantum error correction codes emerging regularly to address errors effectively. Among these, topological codes, particularly surface codes, stand out for their low error thresholds and feasibility for implementation in large-scale quantum computers. However, these codes are restricted to encoding a single qubit. Lattice surgery is crucial for enabling interactions among multiple encoded qubits or between the lattices of a surface code, ensuring that its sophisticated error-correcting features are maintained without significantly increasing the operational overhead. Lattice surgery is pivotal for scaling QECCs across more extensive quantum systems. Despite its critical importance, comprehending lattice surgery is challenging due to its inherent complexity, demanding a deep understanding of intricate quantum physics and mathematical concepts. This paper endeavors to demystify lattice surgery, making it accessible to those without a profound background in quantum physics or mathematics. This work explores surface codes, introduces the basics of lattice surgery, and demonstrates its application in building quantum gates and emulating multi-qubit circuits. |
| format | Article |
| id | doaj-art-ee98a818219247688342f4697cf339d3 |
| institution | Kabale University |
| issn | 1424-8220 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj-art-ee98a818219247688342f4697cf339d32025-08-20T03:43:40ZengMDPI AGSensors1424-82202025-03-01256185410.3390/s25061854Lattice Surgery for DummiesAvimita Chatterjee0Subrata Das1Swaroop Ghosh2Department of Computer Science & Engineering, The Pennsylvania State University, State College, PA 16801, USASchool of Electrical Engineering and Computer Science, The Pennsylvania State University, State College, PA 16802, USASchool of Electrical Engineering and Computer Science, The Pennsylvania State University, State College, PA 16802, USAQuantum error correction (QEC) plays a crucial role in correcting noise and paving the way for fault-tolerant quantum computing. This field has seen significant advancements, with new quantum error correction codes emerging regularly to address errors effectively. Among these, topological codes, particularly surface codes, stand out for their low error thresholds and feasibility for implementation in large-scale quantum computers. However, these codes are restricted to encoding a single qubit. Lattice surgery is crucial for enabling interactions among multiple encoded qubits or between the lattices of a surface code, ensuring that its sophisticated error-correcting features are maintained without significantly increasing the operational overhead. Lattice surgery is pivotal for scaling QECCs across more extensive quantum systems. Despite its critical importance, comprehending lattice surgery is challenging due to its inherent complexity, demanding a deep understanding of intricate quantum physics and mathematical concepts. This paper endeavors to demystify lattice surgery, making it accessible to those without a profound background in quantum physics or mathematics. This work explores surface codes, introduces the basics of lattice surgery, and demonstrates its application in building quantum gates and emulating multi-qubit circuits.https://www.mdpi.com/1424-8220/25/6/1854quantum error correction codes (QECCs)encodingtransversal gateslattice surgery |
| spellingShingle | Avimita Chatterjee Subrata Das Swaroop Ghosh Lattice Surgery for Dummies Sensors quantum error correction codes (QECCs) encoding transversal gates lattice surgery |
| title | Lattice Surgery for Dummies |
| title_full | Lattice Surgery for Dummies |
| title_fullStr | Lattice Surgery for Dummies |
| title_full_unstemmed | Lattice Surgery for Dummies |
| title_short | Lattice Surgery for Dummies |
| title_sort | lattice surgery for dummies |
| topic | quantum error correction codes (QECCs) encoding transversal gates lattice surgery |
| url | https://www.mdpi.com/1424-8220/25/6/1854 |
| work_keys_str_mv | AT avimitachatterjee latticesurgeryfordummies AT subratadas latticesurgeryfordummies AT swaroopghosh latticesurgeryfordummies |