Engineering of arbitrary U (N) transformations by quantum Householder reflections

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 74, Issue 2, 2006, Pages

  Ivanov, P A ^a   Kyoseva, E S ^a   Vitanov, N V ^a,b  

^a UNIVERSITY OF SOFIA   (Bulgaria)

^b INSTITUTE OF SOLID STATE PHYSICS   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

FOURIER TRANSFORMS; PARAMETER ESTIMATION; REFLECTION; RESONANCE; STANDARDS;

EXCITED STATE; QUANTUM FOURIER TRANSFORM (QFT); QUANTUM HOUSEHOLDER REFLECTION; UNITARY TRANSFORMATIONS;

QUANTUM THEORY;

EID: 33747773348     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.74.022323     Document Type: Article

References (21)

1. B. W. Shore, The Theory of Coherent Atomic Excitation (Wiley, New York, 1990).
2. N. V. Vitanov, T. Halfmann, B. W. Shore, and K. Bergmann, Annu. Rev. Phys. Chem. ARPLAP 0066-426X 10.1146/annurev.physchem.52.1.763 52, 763 (2001).
3. K. Bergmann, H. Theuer, and B. W. Shore, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.70.1003 70, 1003 (1998);
4. N. V. Vitanov, M. Fleischhauer, B. W. Shore, and K. Bergmann, Adv. At., Mol., Opt. Phys. AAMPE9 1049-250X 46, 55 (2001).
5. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, U.K., 2000);
6. D. Bouwmeester, A. Ekert, and A. Zeilinger, The Physics of Quantum Information: Quantum Cryptography, Quantum Teleportation, Quantum Computation (Springer-Verlag, Berlin, 2000).
7. M. Reck, A. Zeilinger, H. J. Bernstein, and P. Bertani, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.58 73, 58 (1994);
8. A. Muthukrishnan and C. R. Stroud, Jr., Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.052309 62, 052309 (2000);
9. G. K. Brennen, D. P. O'Leary, and S. S. Bullock, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.052318 71, 052318 (2005);
10. S. S. Bullock, D. P. O'Leary, and G. K. Brennen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.230502 94, 230502 (2005);
11. A. B. Klimov, R. Guzmán, J. C. Retamal, and C. Saavedra, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.062313 67, 062313 (2003).
12. A. S. Householder, J. ACM ZZZZZZ 1535-9921 5, 339 (1958).
13. J. H. Wilkinson, Comput. J. CMPJA6 0010-4620 3, 23 (1960);
14. J. H. Wilkinson Numer. Math. NUMMA7 0029-599X 4, 354 (1962);
15. J. M. Ortega, Numer. Math. NUMMA7 0029-599X 5, 211 (1963);
16. D. J. Mueller, Numer. Math. NUMMA7 0029-599X 8, 72 (1966).
17. E. S. Kyoseva and N. V. Vitanov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.023420 73, 023420 (2006).
18. J. R. Morris and B. W. Shore, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.27.906 27, 906 (1983).
19. N. Rosen and C. Zener, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.40.502 40, 502 (1932).
20. D. J. Rowe, B. C. Sanders, and H. de Guise, J. Math. Phys. JMAPAQ 0022-2488 40, 7 (1999);
21. J. B. Bronzan, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.38.1994 38, 1994 (1988).