Realization of quantum gates based on three-dimensional harmonic oscillator in a time-varying electromagnetic field

Realization of quantum gates based on three-dimensional harmonic oscillator in a time-varying... This paper presents the design of a given quantum unitary gate by perturbing a three-dimensional (3-D) quantum harmonic oscillator with a time-varying but spatially constant electromagnetic field. The idea is based on expressing the radiation- perturbed Hamiltonian as the sum of the unperturbed Hamiltonian and O(e) and $$O({e}^2)$$ O ( e 2 ) perturbations and then solving the Schrödinger equation to obtain the evolution operator at time T up to $$O({e}^2)$$ O ( e 2 ) , and this is a linear-quadratic function of the perturbing electromagnetic field values over the time interval [0, T]. Setting the variational derivative of the error energy with respect to the electromagnetic field values with an average electromagnetic field energy constraint leads to the optimal electromagnetic field solution, a linear integral equation. The reliability of such a gate design procedure in the presence of heat bath coupling is analysed, and finally, an example illustrating how atoms and molecules can be approximated using oscillators is presented. Quantum Information Processing Springer Journals

Realization of quantum gates based on three-dimensional harmonic oscillator in a time-varying electromagnetic field

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Springer US
Copyright © 2015 by Springer Science+Business Media New York
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
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