Journal of Applied Sciences1812-56541812-5662Asian Network for Scientific Information10.3923/jas.2012.1995.2005PanellaMassimo MartinelliGiuseppe 1220121219What bio-inspired algorithms mimic are natural mechanisms
governing the macroscopic world for optimizing actual performances that are
of vital importance. Neural and neurofuzzy networks, genetic, swarm-intelligence
and other evolutionary algorithms are well-known results of this imitation.
A completely different situation characterizes the microscopic world governed
by quantum mechanics. All the possible solutions exist simultaneously in superposition
and the problem is to extract the optimal one. In this case, basic mechanisms
of quantum mechanics, i.e., superposition and entanglement, are necessary to
mimic nature. Following the latter approach, in this paper a quantum architecture
was proposed for determining the maximum/minimum in a set of positive integers
which is a basic problem related to optimization. The proposed architecture
is based on a suitable nonlinear quantum operator and it solves the said problem
by an exhaustive search. This was illustrated in detail in the case of a typical
NP-complete problem.]]>Stick, D., W.K. Hensinger, S. Olmschenk, M.J. Madsen, K. Schwab and C. Monroe,200623639Gershenfeld, N.A. and I.L. Chuang,1997275350356Das, S.R.,20112011Das, S.R.,2011481818Narayanan, A. and T. Menneer,2000128231255Ezhov, A.A. and D. Ventura,20002000pp: 213-234pp: 213-234Goldberg, D.E.,1989Hassan, R., B. Cohanim, O. de Weck and G. Venter,20052005pp: 113Kennedy, J., J.F. Kennedy and R.C. Eberhart,2001Pages: 512Pages: 512Gupta, S. and R.K.P. Zia,200163355383Ricks B. and D. Ventura,20031610191026Ventura, D.,19981998Giraldi, G.A., R. Portugal and R.N. Thess,20042004Han, K. and J. H. Kim,2000213541360Han, K.H. and J.H. Kim,20026580593Platel, M.D., S. Schliebs and N. Kasabov,20091312181232Huo, H.H., V. Stojkovic and Q.L. Xie,201085975Yanguang, C. and C. Hao,20102010pp: 771776Mani, A. and C. Patvardhan,201014348Abs da Cruz, A.V., M.M.B.R. Vellasco and M.A.C. Pacheco,2007751937Panella, M. and G. Martinelli,20074578237244Panella, M. and G. Martinelli,200917698710Panella, M. and G. Martinelli,2011396177Malossini, A., E. Blanzieri and T. Calarco,200812231241Papageorgiou, A. and J.F. Traub,20052005Rieffel, E. and W. Polak,200032300335Durr, C. and P. Hoyer,19981998Abrams, D. and S. Lloyd,19988139923995Czachor, M.,19981998Czachor, M.,19981998Trugenberger, C.A.,20012001Vedral, V., A. Barenco and A. Ekert,199654147153Bernstein, E. and U. Vazirani,19972614111473Ibrahim, A.A., A. Mohamed, H. Shareef and S.P. Ghoshal,20112011pp: 16Ibrahim, A.A., A. Mohamed and H. Shareef,201212822830Lu, T.C. and J.C. Juang,201121825162532Nie, R., X. Xu and J. Yue, 20102010pp: 25562560Abs da Cruz, A.V., M.M.B.R. Vellasco and M.A.C. Pacheco,20102010pp: 16Mukherjee, S.S., R. Chowdhury and S. Bhattacharyya,20112011pp: 426430Fan, K., A. Brabazon, C. O'Sullivan and M. O'Neill,20084974133143Zhang, G.,201117303351Xiao, J., Y.P. Yan, J. Zhang and Y. Tang,20103749664973Dong, D., C. Chen, J. Chu and T.J. Tarn,2012178697Panella, M.,20116112120Panella, M.,20122012