Bounding fault-tolerant thresholds for purification and quantum computation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 5, 2008, Pages

  Kay, Alastair ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BIT ERROR RATE; ELECTRONIC STATES; ERROR DETECTION; FAULT TOLERANT COMPUTER SYSTEMS; NETWORK PROTOCOLS;

FAULT TOLERANT QUANTUM COMPUTERS; QUBIT LOSS ERRORS;

QUANTUM COMPUTERS;

EID: 43949101038     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.052319     Document Type: Article

References (30)

1. D. Deutsch, A. Ekert, R. Jozsa, C. Macchiavello, S. Popescu, and A. Sanpera, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.2818 77, 2818 (1996).
2. C. H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. A. Smolin, and W. K. Wootters, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.722 76, 722 (1996).
3. H.-J. Briegel, W. Dür, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.5932 81, 5932 (1998).
4. P. P. Rohde, e-print arXiv:quant-ph/0702065.
5. Karl Gerd H. Vollbrecht and F. Verstraete, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.062325 71, 062325 (2005).
6. E. Hostens, J. Dehaene, and B. De Moor, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.062337 73, 062337 (2006).
7. A. Kay, J. K. Pachos, W. Dur, and H. J. Briegel, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/8/147 8, 147 (2006).
8. A. Kay and J. K. Pachos, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.062307 75, 062307 (2007).
9. W. Dür and H. J. Briegel, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/70/8/R03 70, 1381 (2007).
10. A. M. Steane, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.4741 54, 4741 (1996).
11. A. Steane, in Introduction to Quantum Computation and Information, edited by, S. Popescu, H. K. Lo, and, T. P. Spiller, (World Scientific, Singapore, 1999), p. 184.
12. A. R. Calderbank and P. W. Shor, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.1098 54, 1098 (1996).
13. P. Aliferis, D. Gottesman, and J. Preskill, Quantum Inf. Comput. QICUAW 1533-7146 6, 97 (2006).
14. D. Aharonov and M. Ben-Or, Proceedings of the 29th Annual ACM STOC (ACM, New York, 1997), e-print arXiv:quant-ph/9906129.
15. D. Gottesman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.127 57, 127 (1998).
16. A. Steane, Nature (London) NATUAS 0028-0836 10.1038/20127 399, 124 (1999).
17. P. W. Shor, 37th Annual Symposium on Foundations of Computer Science (IEEE, New York, 1996), pp. 56-65.
18. P. Aliferis, D. Gottesman, and J. Preskill, Quantum Inf. Comput. QICUAW 1533-7146 8, 181 (2008).
19. B. W. Reichardt, Algorithmica ALGOEJ 0178-4617 (to be published).
20. E. Knill, Nature (London) NATUAS 0028-0836 10.1038/nature03350 434, 39 (2005).
21. A. W. Harrow and M. A. Nielsen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.012308 68, 012308 (2003).
22. A. Razborov, Quantum Inf. Comput. QICUAW 1533-7146 4, 222 (2004).
23. H. Buhrman, R. Cleve, M. Laurent, N. Linden, A. Schijver, and F. Unger, FOCS'06, 47th Annual IEEE Symposium on Foundations of Computer Science (IEEE, Los Alamitos, CA, 2006), p. 411.
24. S. Virmani, S. F. Huelga, and M. B. Plenio, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.042328 71, 042328 (2005).
25. C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.3824 54, 3824 (1996).
26. D. Aharonov, A. Kitaev, and J. Preskill, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.050504 96, 050504 (2006).
27. W. K. Wootters, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80. 2245 80, 2245 (1998).
28. F. G. S. L. Brandao and J. Eisert, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.2888925 49, 042102 (2008).
29. P. P. Rohde, e-print arXiv:quant-ph/0605183.
30. M. Varnava, D. E. Browne, and T. Rudolph, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.120501 97, 120501 (2006).