BROWSE
Detail
Journal Article
Optimal execution of logical Hadamard with low-space overhead in rotated surface code
- Authors
- Sang-Min Lee, Ki-Sung Jin, Soo-Cheol Oh, Jin-Ho On, Gyu-Il Cha
- Issue Date
- 2024-10
- Citation
- ETRI Journal, v.46, no.5, pp.759-773
- ISSN
- 1225-6463
- Publisher
- 한국전자통신연구원
- Language
- Korean
- Type
- Journal Article
- Abstract
- Fault-tolerant quantum computation requires error-correcting codes that enable reliable universal quantum operations. This study introduces a novel approach that executes the logical Hadamard with low-space requirements while preserving the original definition of logical operators within the framework of the rotated surface codes. Our method leverages a boundary deformation method to rotate the logical qubit transformed by transversal Hadamard. Following this, the original encoding of the logical qubit is reinstated through logical flip-and-shift operations. The estimated space–time cost for a logical Hadamard operation with a code distance d is 5d2 + 3d2. The efficiency enhancement of the proposed method is approximately four times greater than those of previous approaches, regardless of the code distance. Unlike the traditional method, implementing a logical Hadamard requires only two patches instead of seven. Furthermore, the proposed method ensures the parallelism of quantum circuits by preventing interferences between adjacent logical data qubits.
- KSP Keywords
- Code distance, Efficiency enhancement, Error Correction Code(ECC), Error-correcting, Fault-tolerant quantum computation, Novel approach, Quantum circuit, Space overhead, Space requirements, Traditional methods, correcting codes
This work is distributed under the term of Korea Open Government License (KOGL)
(Type 4: : Type 1 + Commercial Use Prohibition+Change Prohibition)
(Type 4: : Type 1 + Commercial Use Prohibition+Change Prohibition)
