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Frontiers in Optics

Ultrafast Fourier Transform with a Femtosecond-Laser-Driven Molecule

Kenji Ohmori

Published Jan 1, 2010• 1 citation
Publisher

Abstract

We have experimentally demonstrated a new logic gate based on the temporal evolution of a molecular wave function. An optically tailored vibrational wave-packet implements 4- and 8-element discrete Fourier-transform with arbitrary real and imaginary inputs.
DOI
10.1364/ls.2010.lwh6

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We numerically propose a way to perform quantum computations by combining an ensemble of molecular states and weak laser pulses. A logical input state is expressed as a superposition state (a wave packet) of molecular states, which is initially prepared by a designed femtosecond laser pulse. The free propagation of the wave packet for a specified time interval leads to the specified change in the relative phases among the molecular basis states, which corresponds to a computational result. The computational results are retrieved by means of quantum interferometry. Numerical tests are implemented in the vibrational states of the B state of I2 employing controlled-NOT gate, and 2 and 3 qubits Fourier transforms. All the steps involved in the computational scheme, i.e., the initial preparation, gate operation, and detection steps, are achieved with extremely high precision.