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Multiphoton femtosecond coherent control of is used for implementinginnovative photo-induced analog coherent computation that generally might be abasis for future "smart hardware". The specific implemented computational taskthe classification of an unknown sequence into one of the three groups: (i) aconstant sequence that is composed of identical numbers, (ii) a sequence thatis antisymmetric around a given point, or (iii) neither. The input sequence isencoded into the spectral phases of a broadband femtosecond pulse and thecomputational task is being carried out by the multiphoton nonlinear responseof the irradiated physical system. Here, it is the simultaneous coherent two-and three-photon absorption in atomic sodium (Na). The correspondingcomputational resources are the manifold of initial-to-final multiphotonexcitation pathways photo-induced by the broad spectrum of the irradiatingfemtosecond pulse. The answer is obtained by measuring only two observables,which are two state-populations excited via the two- and three-photonabsorption processes. Hence, the computational task is accomplished in aconstant number of operations irrespective of the sequence length. As such, thepresented scheme, where the femtosecond pulse serves as a query and theirradiated physical system serves as an oracle, provides a sufficient gain inthe computational complexity.

Femtosecond Photo-Induced Multiphoton Analog Computation for Symmetry-Based Pattern Classification