[en] Following the scheme recently proposed by Remacle and Levine [Phys. Rev. A 73, 033820 (2006)], we investigate the concrete implementation of a classical full adder on two electronic states ((X) over tilde (1)A(1) and (C) over tilde B-1(2)) of the SO2 molecule by optical pump-probe laser pulses using intuitive and counterintuitive (stimulated Raman adiabatic passage) excitation schemes. The resources needed for providing the inputs and reading out are discussed, as well as the conditions for achieving robustness in both the intuitive and counterintuitive pump-dump sequences. The fidelity of the scheme is analyzed with respect to experimental noise and two kinds of perturbations: The coupling to the neighboring rovibrational states and a finite rotational temperature that leads to a mixture for the initial state. It is shown that the logic processing of a full addition cycle can be realistically experimentally implemented on a picosecond time scale while the readout takes a few nanoseconds. (c) 2008 American Institute of Physics.
Disciplines :
Chemistry
Author, co-author :
Bomble, L.
Lavorel, B.
Remacle, Françoise ; Université de Liège - ULiège > Département de chimie (sciences) > Laboratoire de chimie physique théorique
Desouter-Lecomte, Michèle ; Université de Liège - ULiège > Département de chimie (sciences) > Laboratoire de chimie physique théorique
Language :
English
Title :
Computational investigation and experimental considerations for the classical implementation of a full adder on SO2 by optical pump-probe schemes
Publication date :
2008
Journal title :
Journal of Chemical Physics
ISSN :
0021-9606
eISSN :
1089-7690
Publisher :
American Institute of Physics, New York, United States - New York
D. Deutsch, Proc. R. Soc. London, Ser. A 400, 97 (1985).
L. K. Grover, Phys. Rev. Lett. 79, 325 (1997).
M. A. Nielsen and I. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, UK, 2000).
Z. L. Madi, R. Bruschweiler, and R. R. Ernst, J. Chem. Phys. 109, 10603 (1998).
T. S. Mahesh, K. Dorai, Arvind, and A. Kumar, J. Magn. Reson. 148, 95 (2001).
R. Das and A. Kumar, J. Chem. Phys. 121, 7601 (2004).
M. Mehring, K. Müller, I. S. Averbukh, W. Merkel, and W. P. Schleich, Phys. Rev. Lett. 98, 120502 (2007).
D. Suter and T. S. Mahesh, J. Chem. Phys. 128, 052106 (2008).
G. A. Barbosa, Phys. Rev. A 73, 052321 (2006).
M. Brune, F. Schmidt-Kaler, A. Maali, J. Dreyer, E. Hagley, J. M. Raimond, and S. Haroche, Phys. Rev. Lett. 76, 1800 (1996).
J. I. Cirac and P. Zoller, Phys. Rev. Lett. 74, 4091 (1995).
N. Sangouard, X. Lacour, S. Gúrin, and H. R. Jauslin, Phys. Rev. A 1050-2947 10.1103/PhysRevA.72.062309 72, 062309 (2005); X. Lacour, S. Gúrin, N. V. Vitanov, L. P. Yatsenko, and H. R. Jauslin, Opt. Commun. 0030-4018 10.1016/j.optcom.2006.01.059 264, 362 (2006); X. Lacour, N. Sangouard, S. Gúrin, and H. R. Jauslin, Phys. Rev. A 73, 042321 (2006).
E. Charron, M. A. Cirone, A. Negretti, J. Schmiedmayer, and T. Calarco, Phys. Rev. A 74, 012308 (2006).
J. Vala, Z. Amitay, B. Zhang, S. R. Leone, and R. Kosloff, Phys. Rev. A 66, 062316 (2002).
E. A. Shapiro, I. Khavkine, M. Spanner, and M. Y. Ivanov, Phys. Rev. A 1050-2947 10.1103/PhysRevA.67.013406 67, 013406 (2003); C. Menzel-Jones and M. Shapiro, Phys. Rev. A 75, 052308 (2007).
C. M. Tesch, L. Kurtz, and R. de Vivie-Riedle, Chem. Phys. Lett. 0009-2614 10.1016/S0009-2614(01)00748-5 343, 633 (2001); B. M. R. Korff, U. Troppmann, K. L. Kompa, and R. de Vivie-Riedle, J. Chem. Phys. 0021-9606 10.1063/1.2141615 123, 244509 (2005); C. M. Tesch and R. de Vivie-Riedle, J. Chem. Phys. 0021-9606 10.1063/1.1818131 121, 12158 (2004); U. Troppmann and R. de Vivie-Riedle, J. Chem. Phys. 122, 154105 (2005).
D. Babikov, J. Chem. Phys. 0021-9606 10.1063/1.1791635 121, 7577 (2004); M. Zhao and D. Babikov, J. Chem. Phys. 0021-9606 10.1063/1.2220039 125, 024105 (2006); M. Zhao and D. Babikov, J. Chem. Phys. 126, 204102 (2007).
Y. Ohtsuki, Chem. Phys. Lett. 404, 126 (2005).
S. Suzuki, K. Mishima, and K. Yamashita, Chem. Phys. Lett. 410, 358 (2005).
I. R. Sola, V. S. Malinovsky, and J. Santamaria, J. Chem. Phys. 120, 10955 (2004).
D. Sugny, C. Kontz, M. Ndong, Y. Justum, G. Dive, and M. Desouter-Lecomte, Phys. Rev. A 1050-2947 10.1103/PhysRevA.74.043419 74, 043419 (2006); D. Sugny, M. Ndong, D. Lauvergnat, Y. Justum, and M. Desouter-Lecomte, J. Photochem. Photobiol., A 1010-6030 10.1016/j.jphotochem.2006.12.005 190, 359 (2007); M. Ndong, D. Lauvergnat, X. Chapuisat, and M. Desouter-Lecomte, J. Chem. Phys. 126, 244505 (2007).
K. Shioya, K. Mishima, and K. Yamashita, Mol. Phys. 105, 1283 (2007).
D. Weidinger and M. Gruebele, Mol. Phys. 105, 1999 (2007).
L. Bomble, D. Lauvergnat, F. Remacle, and M. Desouter-Lecomte, J. Chem. Phys. 128, 064110 (2008).
F. Remacle, S. Speiser, and R. D. Levine, J. Phys. Chem. A 105, 5589 (2001).
F. Remacle and R. D. Levine, J. Chem. Phys. 114, 10239 (2001).
D. Steinitz, F. Remacle, and R. D. Levine, ChemPhysChem 3, 43 (2002).
F. Remacle and R. D. Levine, Phys. Rev. A 73, 033820 (2006).
F. Remacle and R. D. Levine, Proc. Natl. Acad. Sci. U.S.A. 101, 12091 (2004).
F. Remacle, R. Weinkauf, and R. D. Levine, J. Phys. Chem. A 110, 177 (2006).
S. Ami, M. Hliwa, and C. Joachim, Chem. Phys. Lett. 0009-2614 10.1016/S0009-2614(02)01732-3 367, 662 (2002); I. Duchemin and C. Joachim, Chem. Phys. Lett. 406, 167 (2005).
T. Halfmann and K. Bergmann, J. Chem. Phys. 104, 7068 (1996).
J. R. Kuklinski, U. Gaubutz, F. T. Hive, and K. Bergmann, Phys. Rev. A 40, 6741 (1989).
A. Kuhn, S. Steuerwald, and K. Bergmann, Eur. Phys. J. D 1, 57 (1990).
K. Bergmann, H. Theuer, and B. W. Shore, Rev. Mod. Phys. 70, 1003 (1998).
N. V. Vitanov and S. Stenholm, Phys. Rev. A 55, 648 (1997).
Z. Kohavi, Switching and Finite Automata Theory (Tata Mc Graw Hill, New Delhi, 1999).
E. A. Torres, K. L. Kompa, F. Remacle, and R. D. Levine, Chem. Phys. 347, 531 (2008).
M. M. Mano and C. R. Klime, Logic and Computer Design Fundamentals (Prentice Hall, Upper Saddle River, 2000).
F. Remacle and R. D. Levine, in Information Technology, edited by, R. Waser, (Wiley, New York, 2007).
K. Yamanouchi, S. Takeuchi, and S. Tsuchiya, J. Chem. Phys. 92, 4044 (1990).
T. Sako, K. Yamanouchi, and F. Iachello, J. Chem. Phys. 117, 1641 (2002).
NIST Chemistry Welbook, NIST Standard Reference Database Number 69, edited by, P. J. Linstrom, and, W. G. Mallard, National Institute of Standards and Technology, Gaithersburg, MD 20899, June 2005 (http://webbook.nist.gov).
R. N. Zare, Angular Momentum (Wiley, New-York, 1987), p. 275.
H. C. Allen, Jr. and P. C. Cross, Molecular Vib-Rotors (Wiley, New York, 1963).
K. Yamanouchi, H. Yamada, and S. Tsuchiya, J. Chem. Phys. 88, 4664 (1988).
K. Yamanouchi, M. Okunishi, Y. Endo, and S. Tsuchiya, J. Mol. Struct. 352-353, 541 (1995).
M. Towrie, G. Gaborel, P. Matousek, A. W. Parker, W. Shaikh, and R. H. Bisby, Laser Chem. 19, 153 (1999).
M. Towrie, A. W. Parker, S. Shaikh, and P. Matousek, Meas. Sci. Technol. 9, 816 (1998).
M. Berdah, J. P. Visticot, C. Dedonder-Lardeux, D. Solgadi, and B. Soep, Opt. Commun. 124, 118 (1996).
A. L'Huilier and Ph. Balcou, Phys. Rev. Lett. 70, 774 (1993).
F. Gires and P. Tournois, Acad. Sci., Paris, C. R. 258, 6112 (1964).
M. Renard, R. Chaux, B. Lavorel, and O. Faucher, Opt. Express 12, 473 (2004).
H. Katagiri, T. Sako, A. Hishikawa, T. Yazaki, K. Onda, K. Yamanouchi, and K. Yoshino, J. Mol. Struct. 413-414, 589 (1997).
J. Klein, F. Beil, and T. Halfmann, Phys. Rev. Lett. 99, 113003 (2007).