Nonadiabatic quantum search algorithms

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 76, Issue 5, 2007, Pages

  Perez A ^a   Romanelli, A ^a,b  

^a INSTITUTO DE FÍSICA CORPUSCULAR IFIC   (Spain)

^b INSTITUTO DE FÍSICA   (Uruguay)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; HAMILTONIANS; PROBABILITY;

ADIABATIC EVOLUTION; GROVER'S ALGORITHM; QUANTUM SEARCH ALGORITHMS;

QUANTUM THEORY;

EID: 36348994222     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.76.052318     Document Type: Article

References (23)

1. M. Nielssen and I. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2000).
2. P. W. Shor (unpublished);
3. SIAM J. Comput. SMJCAT 0097-5397 10.1137/S0097539795293172 26, 1484 (1997).
4. L. K. Grover (unpublished);
5. Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.325 79, 325 (1997).
6. M. Boyer, G. Brassard, P. Høyer, and A. Tapp, Fortschr. Phys. FPYKA6 0015-8208 10.1002/1521-3978(199806)46:4/5<493::AID-PROP493>3.3. CO;2-G 46, 493 (1998).
7. L. K. Grover, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95. 150501 95, 150501 (2005).
8. T. Tulsi, L. K. Grover, and A. Patel, e-print arXiv:quant-ph/0505007.
9. E. Farhi and S. Gutmann, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.2403 57, 2403 (1998).
10. E. Farhi, J. Goldstone, S. Gutmann, and M. Sipser, e-print arXiv:quant-ph/0001106.
11. E. Farhi, J. Goldstone, S. Gutmann, and D. Nagaj, e-print arXiv:quant-ph/0512159.
12. J. Roland and N. J. Cerf, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.042308 65, 042308 (2002).
13. A. Romanelli, A. Auyuanet, and R. Donangelo, Physica A PHYADX 0378-4371 10.1016/j.physa.2005.05.101 360, 274 (2006).
14. L. K. Grover and A. M. Sengupta, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.032319 65, 032319 (2002).
15. S. Das, R. Kobes, and G. Kunstatter, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/36/11/313 36, 2839 (2003).
16. C. Zener, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 10.1098/rspa.1932.0165 137, 696 (1932).
17. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic Press, San Diego, CA, 1994).
18. A. Romanelli, A. Auyuanet, and R. Donangelo, Physica A PHYADX 0378-4371 10.1016/j.physa.2006.09.005 375, 133 (2007).
19. A. Romanelli and R. Donangelo, Physica A PHYADX 0378-4371 383, 309 (2007).
20. A. Romanelli, Physica A PHYADX 0378-4371 10.1016/j.physa.2007.02.029 379, 545 (2007).
21. Zhaohui Wei and Mingsheng Ying, e-print arXiv:quant-ph/0412117.
22. E. Farhi, J. Goldstone, and S. Gutmann, e-print arXiv:quant-ph/0702144.
23. A. M. Childs, B. W. Reichardt, R. Spalek, and S. Zhang, e-print arXiv:quant-ph/0703015.