Linear depth stabilizer and quantum Fourier transformation circuits with no auxiliary qubits in finite-neighbor quantum architectures

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 76, Issue 5, 2007, Pages

  Maslov, Dmitri ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

FOURIER TRANSFORMS; GRAPH THEORY; NETWORKS (CIRCUITS); QUANTUM THEORY; TWO DIMENSIONAL;

AUXILIARY QUBITS; CLIFFORD GROUP CIRCUITS; FOURIER TRANSFORMATION CIRCUITS; LINEAR DEPTH STABILIZERS;

QUANTUM EFFICIENCY;

EID: 36248941887     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.76.052310     Document Type: Article

References (25)

1. L. K. Grover, in Proceedings of the 28th Annual ACM Symposium on the Theory of Computing (IEEE, New York, 1996), pp. 212-219.
2. P. W. Shor, SIAM J. Comput. SMJCAT 0097-5397 10.1137/S0097539795293172 26, 1484 (1997).
3. C. Negrevergne, T. S. Mahesh, C. A. Ryan, M. Ditty, F. Cyr-Racine, W. Power, N. Boulant, T. Havel, D. G. Cory, and R. Laflamme, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.170501 96, 170501 (2006).
4. H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, Nature (London) NATUAS 0028-0836 10.1038/nature04279 438, 643 (2005).
5. M. Nielsen and I. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, U.K., 2000).
6. J. Zhang, J. Vala, S. Sastry, and K. B. Whaley, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.042313 67, 042313 (2003).
7. L. M. K. Vandersypen, M. Steffen, G. Breyta, C. S. Yannoni, M. H. Sherwood, and I. L. Chuang, Nature (London) NATUAS 0028-0836 10.1038/414883a 414, 883 (2001).
8. R. Van Meter and M. Oskin, ACM J. Emerging Technol. Comput. Syst. ZZZZZZ 1550-4832 2, 31 (2006).
9. D. Copsey, M. Oskin, F. Impens, T. Metodiev, A. Cross, F. T. Chong, I. L. Chuang, and J. Kubiatowicz, IEEE J. Sel. Top. Quantum Electron. IJSQEN 1077-260X 10.1109/JSTQE.2003.820922 9, 1552 (2003).
10. A. Skinner, M. Davenport, and B. Kane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.087901 90, 087901 (2003).
11. J. Sherson, H. Krauter, R. K. Olsson, B. Julsgaard, K. Hammerer, I. Cirac, and E. S. Polzik, Nature (London) NATUAS 0028-0836 10.1038/nature05136 443, 557 (2006).
12. G. Burkard and A. Imamoglu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.041307 74, 041307 (2006).
13. A. M. Steane and D. M. Lukas, Fortschr. Phys. FPYKA6 0015-8208 10.1002/1521-3978(200009)48:9/11<839::AID-PROP839>3.0.CO;2-V 48, 839 (2000).
14. R. Cleve and J. Watrous, in IEEE Symposium on Foundations of Computer Science (IEEE, New York, 2000), pp. 526-536.
15. D. Coppersmith, IBM Technical Report No. RC19642, 1994 (unpublished).
16. C. Moore and M. Nilsson, e-print arXiv:quant-ph/9808027.
17. A. G. Fowler, S. J. Devitt, and L. C. L. Hollenberg, Quantum Inf. Comput. QICUAW 1533-7146 4, 237 (2004).
18. 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).
19. D. Gottesman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.1862 54, 1862 (1996).
20. S. Aaronson and D. Gottesman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.052328 70, 052328 (2004).
21. A. Broadbent and E. Kashefi, e-print arXiv:0704.1736.
22. K. N. Patel, I. L. Markov, and J. P. Hayes, Quantum Inf. Comput. QICUAW 1533-7146 (to be published)
23. e-print arXiv:quant-ph/0302202.
24. A. G. Fowler, C. D. Hill, and L. C. L. Hollenberg, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.042314 69, 042314 (2004).
25. T. Metodi, D. D. Thaker, A. W. Cross, F. T. Chong, and I. L. Chuang, Proc. SPIE PSISDG 0277-786X 6244, 62440 (T) (2006).