Noise threshold and resource cost of fault-tolerant quantum computing with majorana fermions in hybrid systems
Fault-tolerant quantum computing in systems composed of both Majorana fermions and topologically unprotected quantum systems, e.g. superconducting circuits or quantum dots, is studied in this paper. Errors caused by topologically unprotected quantum systems need to be corrected with error correction...
| Tác giả chính: | |
|---|---|
| Định dạng: | Journal article |
| Được phát hành: |
American Physical Society
2016
|
| _version_ | 1826286239920160768 |
|---|---|
| author | Li, Y |
| author_facet | Li, Y |
| author_sort | Li, Y |
| collection | OXFORD |
| description | Fault-tolerant quantum computing in systems composed of both Majorana fermions and topologically unprotected quantum systems, e.g. superconducting circuits or quantum dots, is studied in this paper. Errors caused by topologically unprotected quantum systems need to be corrected with error correction schemes, for instance, the surface code. We find that the error-correction performance of such a hybrid topological quantum computer is not superior to a normal quantum computer unless the topological charge of Majorana fermions is insusceptible to noise. If errors changing the topological charge are rare, the fault-tolerance threshold is much higher than the threshold of a normal quantum computer, and a surface-code logical qubit could be encoded in only tens of topological qubits instead of about a thousand normal qubits. |
| first_indexed | 2024-03-07T01:40:49Z |
| format | Journal article |
| id | oxford-uuid:96c97f45-f9f3-48d5-9d76-ffad737df22c |
| institution | University of Oxford |
| last_indexed | 2024-03-07T01:40:49Z |
| publishDate | 2016 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:96c97f45-f9f3-48d5-9d76-ffad737df22c2022-03-26T23:55:17ZNoise threshold and resource cost of fault-tolerant quantum computing with majorana fermions in hybrid systemsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:96c97f45-f9f3-48d5-9d76-ffad737df22cSymplectic Elements at OxfordAmerican Physical Society2016Li, YFault-tolerant quantum computing in systems composed of both Majorana fermions and topologically unprotected quantum systems, e.g. superconducting circuits or quantum dots, is studied in this paper. Errors caused by topologically unprotected quantum systems need to be corrected with error correction schemes, for instance, the surface code. We find that the error-correction performance of such a hybrid topological quantum computer is not superior to a normal quantum computer unless the topological charge of Majorana fermions is insusceptible to noise. If errors changing the topological charge are rare, the fault-tolerance threshold is much higher than the threshold of a normal quantum computer, and a surface-code logical qubit could be encoded in only tens of topological qubits instead of about a thousand normal qubits. |
| spellingShingle | Li, Y Noise threshold and resource cost of fault-tolerant quantum computing with majorana fermions in hybrid systems |
| title | Noise threshold and resource cost of fault-tolerant quantum computing with majorana fermions in hybrid systems |
| title_full | Noise threshold and resource cost of fault-tolerant quantum computing with majorana fermions in hybrid systems |
| title_fullStr | Noise threshold and resource cost of fault-tolerant quantum computing with majorana fermions in hybrid systems |
| title_full_unstemmed | Noise threshold and resource cost of fault-tolerant quantum computing with majorana fermions in hybrid systems |
| title_short | Noise threshold and resource cost of fault-tolerant quantum computing with majorana fermions in hybrid systems |
| title_sort | noise threshold and resource cost of fault tolerant quantum computing with majorana fermions in hybrid systems |
| work_keys_str_mv | AT liy noisethresholdandresourcecostoffaulttolerantquantumcomputingwithmajoranafermionsinhybridsystems |