Chow's theorem and universal holonomic quantum computation

Journal of Physics A: Mathematical and General

Volumn 35, Issue 24, 2002, Pages 5107-5114

  Lucarelli, Dennis ^a,b  

^a WASHINGTON UNIVERSITY   (United States)

^b JOHNS HOPKINS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037150638     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/24/309     Document Type: Article

References (28)

1. Deutsch D, Barenco A and Ekert A 1995 Proc. R. Soc. A 449 669
2. Lloyd S 1995 Phys. Rev. Lett. 75 346
3. Weaver N 2000 J. Math. Phys. 41 240
4. Zanardi P and Rasetti M 1999 Phys. Lett. A 264 94 (Preprint quant-ph/9904011)
5. Pachos J and Chountasis S 2000 Phys. Rev. A 62 052318 (Preprint quant-ph/9912093)
6. Fujii K 2000 J. Math. Phys. 41 4406 (Preprint quant-ph/9910069)
7. Fujii K 2001 Rep. Math. Phys. 48 75 (Preprint quant-ph/0004102)
8. Pachos J and Zanardi P 2001 Int. J. Mod. Phys. B 15 1257 (Preprint quant-ph/0007110)
9. Margolin A E, Strazhev V I and Tregubovich A Ya 2001 (Preprint quant-ph/0102030)
10. Ellinas D and Pachos J 2001 Phys. Rev. A 64 022310 (Preprint quant-ph/0009043)
11. Preskill J 1997 Preprint quant-ph/9712048
12. Shapere A and Wilczek F (ed) 1989 Geometric Phases in Physics (Singapore: World Scientific)
13. Wilczek F and Zee A 1984 Phys. Rev. Lett. 52 2111
14. Montgomery R 1990 Commun. Math. Phys. 128 565
15. Montgomery R 1991 Symplectic Geometry and Mathematical Physics ed P Donate (Boston, MA: Birkhauser) p 303
16. Montgomery R 1993 Nonholonomic Motion Planning ed Z Li and J F Canny (Norwell: Kluwer) p 343
17. Montgomery R 2002 A Tour of Subriemannian Geometries, Their Geodesies, and Applications (Providence, RI: American Mathematical Society)
18. Kelly S and Murray R 1995 J. Robot. Syst. 12 417
19. Nakahara M 1990 Geometry, Topology, and Physics (Bristol: Institute of Physics Publishing)
20. Chow W L 1939 Math. Ann. 117 98
21. Isidori A 1995 Nonlinear Control Systems (New York: Springer)
22. Jurdjevic V 1996 Geometric Control Theory (New York: Cambridge University Press)
23. Jurdjevic V and Sussmann H J 1972 J. Differ. Equ. 12 313
24. Huang G M, Tarn T J and Clark J W 1983 J. Math. Phys. 24 2608
25. Ramakrishna V et al 1995 Phys. Rev. A 51 960
26. Lucarelli D 2002 Preprint quant-ph/0202055
27. Josza R 1997 The Geometric Universe ed S A Huggett et al (Oxford: Oxford University Press) p 369 (Preprint quant-ph/9707034)
28. Divincenzo D 1995 Phys. Rev. A 51 1015 (Preprint cond-mat/9407022)