Physical implementation of a Majorana fermion surface code for fault-tolerant quantum computation
We propose a physical realization of a commuting Hamiltonian of interacting Majorana fermions realizing Z2topological order, using an array of Josephson-coupled topological superconductor islands. The required multi-body interaction Hamiltonian is naturally generated by a combination of charging ene...
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| Format: | Article |
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IOP Publishing
2018
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| Online Access: | http://hdl.handle.net/1721.1/119660 https://orcid.org/0000-0002-8803-1017 |
| _version_ | 1826196511781814272 |
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| author | Vijay, Sagar Fu, Liang |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Vijay, Sagar Fu, Liang |
| author_sort | Vijay, Sagar |
| collection | MIT |
| description | We propose a physical realization of a commuting Hamiltonian of interacting Majorana fermions realizing Z2topological order, using an array of Josephson-coupled topological superconductor islands. The required multi-body interaction Hamiltonian is naturally generated by a combination of charging energy induced quantum phase-slips on the superconducting islands and electron tunneling between islands. Our setup improves on a recent proposal for implementing a Majorana fermion surface code (Vijay et al 2015 Phys. Rev. X 5 041038), a 'hybrid' approach to fault-tolerant quantum computation that combines (1) the engineering of a stabilizer Hamiltonian with a topologically ordered ground state with (2) projective stabilizer measurements to implement error correction and a universal set of logical gates. Our hybrid strategy has advantages over the traditional surface code architecture in error suppression and single-step stabilizer measurements, and is widely applicable to implementing stabilizer codes for quantum computation. |
| first_indexed | 2024-09-23T10:28:07Z |
| format | Article |
| id | mit-1721.1/119660 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T10:28:07Z |
| publishDate | 2018 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | mit-1721.1/1196602022-09-27T09:41:31Z Physical implementation of a Majorana fermion surface code for fault-tolerant quantum computation Vijay, Sagar Fu, Liang Massachusetts Institute of Technology. Department of Physics Vijay, Sagar Fu, Liang We propose a physical realization of a commuting Hamiltonian of interacting Majorana fermions realizing Z2topological order, using an array of Josephson-coupled topological superconductor islands. The required multi-body interaction Hamiltonian is naturally generated by a combination of charging energy induced quantum phase-slips on the superconducting islands and electron tunneling between islands. Our setup improves on a recent proposal for implementing a Majorana fermion surface code (Vijay et al 2015 Phys. Rev. X 5 041038), a 'hybrid' approach to fault-tolerant quantum computation that combines (1) the engineering of a stabilizer Hamiltonian with a topologically ordered ground state with (2) projective stabilizer measurements to implement error correction and a universal set of logical gates. Our hybrid strategy has advantages over the traditional surface code architecture in error suppression and single-step stabilizer measurements, and is widely applicable to implementing stabilizer codes for quantum computation. Packard Foundation United States. Department of Energy. Division of Materials Sciences and Engineering (Award No. de-sc0010526) 2018-12-17T16:38:40Z 2018-12-17T16:38:40Z 2016-01 2018-10-26T12:20:49Z Article http://purl.org/eprint/type/JournalArticle 0031-8949 1402-4896 http://hdl.handle.net/1721.1/119660 Vijay, Sagar, and Liang Fu. “Physical Implementation of a Majorana Fermion Surface Code for Fault-Tolerant Quantum Computation.” Physica Scripta T168 (January 25, 2016): 014002. https://orcid.org/0000-0002-8803-1017 http://dx.doi.org/10.1088/0031-8949/T168/1/014002 Physica Scripta Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf IOP Publishing arXiv |
| spellingShingle | Vijay, Sagar Fu, Liang Physical implementation of a Majorana fermion surface code for fault-tolerant quantum computation |
| title | Physical implementation of a Majorana fermion surface code for fault-tolerant quantum computation |
| title_full | Physical implementation of a Majorana fermion surface code for fault-tolerant quantum computation |
| title_fullStr | Physical implementation of a Majorana fermion surface code for fault-tolerant quantum computation |
| title_full_unstemmed | Physical implementation of a Majorana fermion surface code for fault-tolerant quantum computation |
| title_short | Physical implementation of a Majorana fermion surface code for fault-tolerant quantum computation |
| title_sort | physical implementation of a majorana fermion surface code for fault tolerant quantum computation |
| url | http://hdl.handle.net/1721.1/119660 https://orcid.org/0000-0002-8803-1017 |
| work_keys_str_mv | AT vijaysagar physicalimplementationofamajoranafermionsurfacecodeforfaulttolerantquantumcomputation AT fuliang physicalimplementationofamajoranafermionsurfacecodeforfaulttolerantquantumcomputation |