Cluster-based architecture for fault-tolerant quantum computation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 81, Issue 4, 2010, Pages

  Fujii, Keisuke ^a   Yamamoto, Katsuji ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CLUSTER MODELS; CLUSTER STATE; CLUSTER-BASED ARCHITECTURE; ENCODED QUBITS; FAULT-TOLERANT QUANTUM COMPUTATION; GATE OPERATION; HIGH NOISE; LOGICAL ERRORS; LOGICAL GATES; TRANSVERSAL STRUCTURES;

COMPUTATIONAL LINGUISTICS; ERROR CORRECTION; QUANTUM COMPUTERS; QUANTUM THEORY;

CLUSTER COMPUTING;

EID: 77951611558     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.81.042324     Document Type: Article

References (52)

1. P. W. Shor, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.52.R2493 52, R2493 (1995).
2. A. R. Calderbank and P. W. Shor, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.1098 54, 1098 (1996).
3. A. M. Steane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77. 793 77, 793 (1996).
4. P. W. Shor, in Proceedings of the 37th Annual Symposium on Foundations of Computer Science (IEEE Computer Society Press, Los Alamitos, CA, 1996), p. 56.
5. D. P. DiVincenzo and P. W. Shor, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.3260 77, 3260 (1996).
6. A. M. Steane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78. 2252 78, 2252 (1997).
7. A. M. Steane, Fortschr. Phys. FPYKA6 0015-8208 10.1002/(SICI)1521- 3978(199806)46:4/5<443::AID-PROP443>3.0.CO;2-8 46, 443 (1998).
8. D. Gottesman, Ph.D. thesis, California Institute of Technology (1997).
9. A. M. Steane, Nature (London) NATUAS 0028-0836 10.1038/20127 399, 124 (1999).
10. A. M. Steane, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.042322 68, 042322 (2003).
11. A. Yu. Kitaev, Russ. Math. Surv. PLRAAN 0036-0279 10.1070/ RM1997v052n06ABEH002155 52, 1191 (1997).
12. J. Preskill, Proc. R. Soc. London A PLRAAN 1364-5021 10.1098/rspa.1998. 0167 454, 385 (1998).
13. E. Knill, R. Laflamme, and W. H. Zurek, Proc. R. Soc. London A PLRAAN 1364-5021 10.1098/rspa.1998.0166 454, 365 (1998);
14. E. Knill, R. Laflamme, and W. H. Zurek, Science SCIEAS 0036-8075 10.1126/science.279.5349.342 279, 342 (1998).
15. D. Gottesman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.127 57, 127 (1998).
16. D. Aharonov and M. Ben-Or, in Proceedings of the 29th Annual ACM Symposium on the Theory of Computation (ACM Press, NY, 1998), p. 176.
17. D. Gottesman and I. L. Chuang, Nature (London) NATUAS 0028-0836 10.1038/46503 402, 390 (1999).
18. X. Zhou, D. W. Leung, and I. L. Chuang, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.052316 62, 052316 (2000).
19. R. Raussendorf and H. J. Briegel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.5188 86, 5188 (2001);
20. R. Raussendorf, D. E. Browne, and H. J. Briegel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.022312 68, 022312 (2003).
21. M. A. Nielsen, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(02) 01803-0 308, 96 (2003).
22. M. S. Tame, M. Paternostro, and M. S. Kim, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/6/201 9, 201 (2007);
23. R. Prevedel, M. S. Tame, A. Stefanov, M. Paternostro, M. S. Kim, and A. Zeilinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.250503 99, 250503 (2007).
24. E. Knill, Nature (London) NATUAS 0028-0836 10.1038/nature03350 434, 39 (2005).
25. E. Knill, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.042322 71, 042322 (2005).
26. M. A. Nielsen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93. 040503 93, 040503 (2004).
27. C. M. Dawson, H. L. Haselgrove, and M. A. Nielsen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.020501 96, 020501 (2006);
28. C. M. Dawson, H. L. Haselgrove, and M. A. Nielsen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.052306 73, 052306 (2006).
29. R. Raussendorf, Ph.D. thesis, Ludwig-Maximillians Universität München (2003).
30. M. A. Nielsen and C. M. Dawson, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.042323 71, 042323 (2005).
31. P. Aliferis and D. W. Leung, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.032308 73, 032308 (2006).
32. R. Raussendorf and J. Harrington, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.190504 98, 190504 (2007);
33. R. Raussendorf, J. Harrington, and K. Goyal, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/6/199 9, 199 (2007).
34. K. Fujii and K. Yamamoto, in Proceedings of the 8th International Conference of QCMC (NICT Press, Tokyo, 2007), p. 105.
35. M. Silva, V. Danos, E. Kashefi, and H. Ollivier, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/6/192 9, 192 (2007).
36. J. Joo and D. L. Feder, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.032312 80, 032312 (2009).
37. K. Fujii and K. Yamamoto, in Proceedings of the 9th International Conference of QCMC (AIP, Melville, NY, 2009), p. 141.
38. B. W. Reichardt, e-print arXiv: quant-ph/0406025 (2004).
39. B. Eastin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.022301 75, 022301 (2007).
40. M. B. Plenio, V. Vedral, and P. L. Knight, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.55.4593 55, 4593 (1997).
41. K. Fujii and K. Yamamoto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.042308 80, 042308 (2009).
42. W. Dür, H. Aschauer, and H. J. Briegel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.107903 91, 107903 (2003);
43. H. Aschauer, W. Dür, and H. J. Briegel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.012319 71, 012319 (2005).
44. S. Bravyi and A. Kitaev, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.022316 71, 022316 (2005).
45. B. W. Reichardt, Quant. Info. Proc. 1570-0755 10.1007/s11128-005-7654-8 4, 251 (2005).
46. K. Goyal, A. McCauley, and R. Raussendorf, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.032318 74, 032318 (2006).
47. P. Aliferis, D. Gottesman, and J. Preskill, Quantum Inf. Comput. 6, 97 (2006);
48. P. Aliferis, D. Gottesman, and J. Preskill, Quantum Inf. Comput. 8, 181 (2008);
49. P. Aliferis and J. Preskill, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.012332 79, 012332 (2009).
50. A. W. Cross, D. P. DiVincenzo, and B. M. Terhal, e-print arXiv: 0711.1556 (2007).
51. D. Poulin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.052333 74, 052333 (2006);
52. J. Fern, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.010301 77, 010301 (R) (2008).