2,422 research outputs found
Controlling the quantum computational speed
The speed of quantum computation is investigated through the time evolution
of the speed of the orthogonality. The external field components for classical
treatment beside the detuning and the coupling parameters for quantum treatment
play important roles on the computational speed. It has been shown that the
number of photons has no significant effect on the speed of computation.
However, it is very sensitive to the variation in both detuning and the
interaction coupling parameters.Comment: 9 pages, 10 figure
On Hermite-Hermite matrix polynomials
summary:In this paper the definition of Hermite-Hermite matrix polynomials is introduced starting from the Hermite matrix polynomials. An explicit representation, a matrix recurrence relation for the Hermite-Hermite matrix polynomials are given and differential equations satisfied by them is presented. A new expansion of the matrix exponential for a wide class of matrices in terms of Hermite-Hermite matrix polynomials is proposed
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