Realization of arbitrary gates in holonomic quantum computation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 67, Issue 1, 2003, Pages

  Niskanen, Antti O ^a   Nakahara, Mikio ^a,b   Salomaa, Martti M ^a  

^a AALTO UNIVERSITY   (Finland)

^b KINKI UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; EIGENVALUES AND EIGENFUNCTIONS; FOURIER TRANSFORMS; GRAPH THEORY; HAMILTONIANS; INTEGRAL EQUATIONS; INVERSE PROBLEMS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; VECTORS;

DISCRETE FOURIER TRANSFORMATION; HADAMARD GATE; HOLONOMIC QUANTUM COMPUTATION; ONE-QUBIT GATE; QUANTUM COMPUTER; TWO-QUBIT GATE;

QUANTUM THEORY;

EID: 4444271946     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

1. J. Gruska, Quantum Computing (McGraw-Hill, New York, 1999).
2. M.A. Nielsen and I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
3. A. Galindo and M. A. Martin-Delgado, Rev. Mod. Phys. 74, 347 (2002).
4. P. Zanardi and M. Rasetti, Phys. Lett. A 264, 94 (1999).
5. K. Fujii, Rep. Math. Phys. 48, 75 (2001).
6. D. Ellinas and J. Pachos, Phys. Rev. A 64, 022310 (2001)
7. J. Pachos, P. Zanardi, and M. Rasetti, Phys. Rev. A 61, 010305(R) (1999).
8. J. Pachos and P. Zanardi, Int. J. Mod. Phys. B 15, 1257 (2001).
9. J. Pachos and S. Chountasis, Phys. Rev. A 62, 052318 (2000).
10. M. Berry, Proc. R. Soc. London, Ser. A 392, 45 (1984)
11. A. Zee, Phys. Rev. A 38, 1 (1988).
12. F. Wilczek and A. Zee, Phys. Rev. Lett. 52, 2111 (1984).
13. M. Nakahara, Geometry, Topology and Physics (IOP, Bristol, 1990).
14. J.C. Lagarias, J.A. Reeds, M.H. Wright, and P.E. Wright, SIAM J. Optim. 9, 112 (1998).