Scalable fermionic error correction in Majorana surface codes
© 2019 American Physical Society. We study the error correcting properties of Majorana surface codes (MSCs), topological quantum codes constructed out of interacting Majorana fermions, which can be used to store quantum information and perform quantum computation. These quantum memories suffer from...
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| Format: | Article |
| Language: | English |
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American Physical Society (APS)
2021
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| Online Access: | https://hdl.handle.net/1721.1/136202 |
| _version_ | 1811084621348077568 |
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| author | Viyuela, Oscar Vijay, Sagar Fu, Liang |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Viyuela, Oscar Vijay, Sagar Fu, Liang |
| author_sort | Viyuela, Oscar |
| collection | MIT |
| description | © 2019 American Physical Society. We study the error correcting properties of Majorana surface codes (MSCs), topological quantum codes constructed out of interacting Majorana fermions, which can be used to store quantum information and perform quantum computation. These quantum memories suffer from purely "fermionic" errors, such as quasiparticle poisoning (QP), that have no analog in conventional platforms with bosonic qubits. In physical realizations where QP dominates, we show that errors can be corrected provided that the poisoning rate is below a threshold of ∼11%. When QP is highly suppressed and fermionic bilinear ("bosonic") errors become dominant, we find an error threshold of ∼16%, which is much higher than the threshold for spin-based topological memories like the surface code or the color code. In addition, we derive lattice gauge theories to account for measurement errors. These results, together with the inherent error suppression provided by the superconducting gap in physical realizations of the MSCs, makes this a strong candidate for a robust topological quantum memory. |
| first_indexed | 2024-09-23T12:54:27Z |
| format | Article |
| id | mit-1721.1/136202 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T12:54:27Z |
| publishDate | 2021 |
| publisher | American Physical Society (APS) |
| record_format | dspace |
| spelling | mit-1721.1/1362022023-03-24T18:02:44Z Scalable fermionic error correction in Majorana surface codes Viyuela, Oscar Vijay, Sagar Fu, Liang Massachusetts Institute of Technology. Department of Physics © 2019 American Physical Society. We study the error correcting properties of Majorana surface codes (MSCs), topological quantum codes constructed out of interacting Majorana fermions, which can be used to store quantum information and perform quantum computation. These quantum memories suffer from purely "fermionic" errors, such as quasiparticle poisoning (QP), that have no analog in conventional platforms with bosonic qubits. In physical realizations where QP dominates, we show that errors can be corrected provided that the poisoning rate is below a threshold of ∼11%. When QP is highly suppressed and fermionic bilinear ("bosonic") errors become dominant, we find an error threshold of ∼16%, which is much higher than the threshold for spin-based topological memories like the surface code or the color code. In addition, we derive lattice gauge theories to account for measurement errors. These results, together with the inherent error suppression provided by the superconducting gap in physical realizations of the MSCs, makes this a strong candidate for a robust topological quantum memory. 2021-10-27T20:34:14Z 2021-10-27T20:34:14Z 2019 2021-07-01T11:51:39Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/136202 en 10.1103/PHYSREVB.99.205114 Physical Review B Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society (APS) APS |
| spellingShingle | Viyuela, Oscar Vijay, Sagar Fu, Liang Scalable fermionic error correction in Majorana surface codes |
| title | Scalable fermionic error correction in Majorana surface codes |
| title_full | Scalable fermionic error correction in Majorana surface codes |
| title_fullStr | Scalable fermionic error correction in Majorana surface codes |
| title_full_unstemmed | Scalable fermionic error correction in Majorana surface codes |
| title_short | Scalable fermionic error correction in Majorana surface codes |
| title_sort | scalable fermionic error correction in majorana surface codes |
| url | https://hdl.handle.net/1721.1/136202 |
| work_keys_str_mv | AT viyuelaoscar scalablefermionicerrorcorrectioninmajoranasurfacecodes AT vijaysagar scalablefermionicerrorcorrectioninmajoranasurfacecodes AT fuliang scalablefermionicerrorcorrectioninmajoranasurfacecodes |