Space, time, parallelism and noise requirements for reliable quantum computing

Fortschritte der Physik

Volumn 46, Issue 4-5, 1998, Pages 443-457

  Steane, A M ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032338285     PISSN: 00158208     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1521-3978(199806)46:4/5<443::AID-PROP443>3.0.CO;2-8     Document Type: Article

References (26)

1. A. R. CALDERBANK and P. W. SHOR. Phys. Rev. A 54, 1098 (1996).
2. A. M. STEANE, Proc. Roy. Soc. Lond. A 452, 2551 (1996).
3. P. W. SHOR, "Fault-tolerant quantum computation", in Proc. 37th Symp. on Foundations of Computer Science (Los Alamitos, CA: IEEE Computer Society Press), pp. 55-65 (1996).
4. A. YU. KITAEV, "Quantum error correction with imperfect gates", preprint.
5. E. KNILL, R. LAFLAMME, "Concatenated quantum codes," (LANL eprint quant-ph/9608012)
6. A. YU. KITAEV, "Quantum computing: algorithms and error correction", Russian Mathematical Surveys, to appear.
7. E. KNILL, R. LAFLAMME and W. H. ZUREK. "Accuracy threshold for quantum computation", (LANL eprint quant-ph/9610011)
8. D. AHARONOV and M. BEN-OR. "Fault-tolerant quantum computation with constant error", (LANL eprint quant-ph/9611025)
9. D. GOTTESMAN, J. EVSLIN, S. KAKADE and J. PRESKILL, to be published (1996).
10. E. KNILL, R. LAFLAMME and W. H. ZUREK, Proc. Roy. Soc. Lond. A 454, 365 (1998).
11. J. PRESKILL, "Reliable quantum computers", Proc. Roy. Soc. Lond. A 454, 385 (1998).
12. A. M. STEANE, Phys. Rev. Lett. 78, 2252 (1997).
13. D. GOTTESMAN, Phys. Rev. A 54, 1862 (1996).
14. A. R. CALDERBANK, E. M. RAINS, P. W. SHOR and N. J. A. SLOANE, Phys. Rev. Lett. 78, 405 (1997).
15. D. P. DIVINCENZO and P. W. SHOR, Phys. Rev. Lett. 77, 3260 (1996).
16. D. GOTTESMAN, Phys. Rev. A 57, 127 (1998).
17. E. KNILL and R. LAFLAMME, Phys. Rev. A 55, 900 (1997).
18. C. H. BENNETT, D. DIVINCENZO, J. A. SMOLIN and W. K. WOOTTERS, Phys. Rev. A 54, 3824 (1996).
19. A. M. STEANE, Phys. Rev. Lett. 77, 793 (1996).
20. A. M. STEANE, Phys. Rev. A 54, 4741 (1996).
21. M. J. E. GOLAY, Proc. IEEE 37, 657 (1949).
22. F. J. MACWILLIAMS and N. J. A. SLOANE, "The theory of error-correcting codes", (North-Holland, Amsterdam, ninth impression 1996.)
23. D. BECKMAN, A. CHARI, S. DEVABHAKTUNI and J. PRESKILL, Phys. Rev. A 54, 1034 (1996).
24. C. ZALKA, "Threshold estimate for fault tolerant quantum computing", (LANL eprint quant-ph/9612028)
25. D. DEUTSCH, A. EKERT, R. JOZSA, C. MACCHIAVELLO, S. POPESCU and A. SANPERA, Phys. Rev. Lett. 77, 2818 (1996).
26. C. H. BENNETT, G. BRASSARD, S. POPESCU, B. SCHUMACHER, J. A. SMOLIN and W. WOOTTERS, Phys. Rev. Lett. 76, 722 (1996).