journal article·2019-05-10Open access

Scalable fermionic error correction in Majorana surface codes

Oscar Viyuela, Sagar Vijay, Liang Fu

Physical Review B· Volume 99· Issue 20

Abstract

Quantum computers based on Majorana fermions offer intrinsic robustness due to the topological nature of these quasiparticles. However, active quantum error correction is still necessary in order to perform fully protected quantum gates and reliably store information due to the presence of unwanted errors, such as quasiparticle poisoning. Here, the authors demonstrate that using networks of interacting Majorana particles achieves a higher error tolerance than traditional qubit-based quantum computers, thereby offering potential advantages for large-scale quantum information processing.
Source: openalex_inverted_index · Quality: baseline

Research context

OpenAlex topics: Topological Materials and Phenomena · Graphene research and applications · Electronic and Structural Properties of Oxides

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (67)

Show source-provided references
1. 10.1063/1.149975410.1063/1.1499754 ↗
2. 10.1103/RevModPhys.87.30710.1103/RevModPhys.87.307 ↗
3. 10.1070/RM1997v052n06ABEH00215510.1070/RM1997v052n06ABEH002155 ↗
4. 10.1103/PhysRevLett.98.16050210.1103/PhysRevLett.98.160502 ↗
5. 10.1103/RevModPhys.80.108310.1103/RevModPhys.80.1083 ↗
6. 10.1016/S0003-4916(02)00018-010.1016/S0003-4916(02)00018-0 ↗
7. M. A. Nielsen · 2000
8. 10.1103/PhysRevLett.97.18050110.1103/PhysRevLett.97.180501 ↗
9. 10.1103/PhysRevB.75.07510310.1103/PhysRevB.75.075103 ↗
10. 10.1126/science.125374210.1126/science.1253742 ↗
11. 10.1038/nature1317110.1038/nature13171 ↗
12. 10.1038/ncomms797910.1038/ncomms7979 ↗
13. 10.1088/1367-2630/12/8/08303910.1088/1367-2630/12/8/083039 ↗
14. 10.1103/PhysRevA.87.01230510.1103/PhysRevA.87.012305 ↗
15. 10.1103/PhysRevX.5.04103810.1103/PhysRevX.5.041038 ↗
16. 10.1088/0031-8949/T168/1/01400210.1088/0031-8949/T168/1/014002 ↗
17. 10.1103/PhysRevB.94.17451410.1103/PhysRevB.94.174514 ↗
18. 10.1103/PhysRevLett.116.05050110.1103/PhysRevLett.116.050501 ↗
19. M. B. Hastings · J. Quantum Inf. Comput. · 2017 · 17 · 1191
20. 10.1103/PhysRevX.7.03104810.1103/PhysRevX.7.031048 ↗
21. 10.1103/PhysRevLett.119.18050810.1103/PhysRevLett.119.180508 ↗
22. 10.1103/PhysRevB.97.20540410.1103/PhysRevB.97.205404 ↗
23. 10.1103/PhysRevLett.121.26700210.1103/PhysRevLett.121.267002 ↗
24. 10.1103/PhysRevLett.117.12040310.1103/PhysRevLett.117.120403 ↗
25. 10.1103/PhysRevA.98.01233610.1103/PhysRevA.98.012336 ↗
26. 10.1103/PhysRevB.99.11511710.1103/PhysRevB.99.115117 ↗
27. 10.1103/PhysRevLett.100.09640710.1103/PhysRevLett.100.096407 ↗
28. 10.1103/PhysRevLett.114.01700110.1103/PhysRevLett.114.017001 ↗
29. 10.1103/PhysRevLett.116.25700310.1103/PhysRevLett.116.257003 ↗
30. 10.1103/PhysRevLett.105.07700110.1103/PhysRevLett.105.077001 ↗
31. 10.1103/PhysRevLett.105.17700210.1103/PhysRevLett.105.177002 ↗
32. 10.1126/science.122236010.1126/science.1222360 ↗
33. 10.1038/nphys247910.1038/nphys2479 ↗
34. 10.1038/nphys242910.1038/nphys2429 ↗
35. 10.1103/PhysRevB.87.24140110.1103/PhysRevB.87.241401 ↗
36. 10.1126/science.aaf396110.1126/science.aaf3961 ↗
37. 10.1038/s41578-018-0003-110.1038/s41578-018-0003-1 ↗
38. 10.1103/PhysRevLett.111.18680510.1103/PhysRevLett.111.186805 ↗
39. 10.1103/PhysRevLett.111.14720210.1103/PhysRevLett.111.147202 ↗
40. 10.1103/PhysRevB.88.15542010.1103/PhysRevB.88.155420 ↗
41. 10.1103/PhysRevB.88.02040710.1103/PhysRevB.88.020407 ↗
42. 10.1126/science.125932710.1126/science.1259327 ↗
43. 10.1103/PhysRevLett.115.19720410.1103/PhysRevLett.115.197204 ↗
44. 10.1038/npjqi.2016.3510.1038/npjqi.2016.35 ↗
45. 10.1103/PhysRevB.79.16140810.1103/PhysRevB.79.161408 ↗
46. 10.1103/PhysRevB.85.20510910.1103/PhysRevB.85.205109 ↗
47. 10.1103/PhysRevB.85.17453310.1103/PhysRevB.85.174533 ↗
48. 10.1103/PhysRevLett.118.13770110.1103/PhysRevLett.118.137701 ↗
49. 10.1103/PhysRevB.98.17450210.1103/PhysRevB.98.174502 ↗
50. 10.1103/PhysRevB.95.23530510.1103/PhysRevB.95.235305 ↗
51. 10.22331/q-2018-09-03-8810.22331/q-2018-09-03-88 ↗
52. 10.1103/PhysRevA.54.186210.1103/PhysRevA.54.1862 ↗
53. 10.1103/PhysRevLett.77.79310.1103/PhysRevLett.77.793 ↗
54. 10.1103/PhysRevA.54.109810.1103/PhysRevA.54.1098 ↗
55. 10.1098/rspa.1998.016710.1098/rspa.1998.0167 ↗
56. 10.1103/PhysRevLett.103.09050110.1103/PhysRevLett.103.090501 ↗
57. 10.1016/j.nuclphysb.2004.07.00310.1016/j.nuclphysb.2004.07.003 ↗
58. 10.1088/1367-2630/13/8/08300610.1088/1367-2630/13/8/083006 ↗
59. 10.1103/PhysRevX.2.02100410.1103/PhysRevX.2.021004 ↗
60. 10.1103/PhysRevA.83.02030210.1103/PhysRevA.83.020302 ↗
61. 10.1103/PhysRevLett.98.19050410.1103/PhysRevLett.98.190504 ↗
62. 10.1088/0022-3719/13/21/01210.1088/0022-3719/13/21/012 ↗
63. 10.1143/PTP.66.116910.1143/PTP.66.1169 ↗
64. 10.1103/PhysRevB.78.11542110.1103/PhysRevB.78.115421 ↗
65. 10.1103/PhysRevB.73.06441010.1103/PhysRevB.73.064410 ↗
66. 10.1103/PhysRevA.94.01231810.1103/PhysRevA.94.012318 ↗
67. 10.1103/PhysRevA.77.04232210.1103/PhysRevA.77.042322 ↗