Realization of a quantum gate using gravitational search algorithm by perturbing three-dimensional harmonic oscillator with an electromagnetic field

Realization of a quantum gate using gravitational search algorithm by perturbing... The aim of this paper is to design a current source obtained as a representation of p information symbols $$\{I_k\}$$ { I k } so that the electromagnetic (EM) field generated interacts with a quantum atomic system producing after a fixed duration T a unitary gate U(T) that is as close as possible to a given unitary gate $$U_g$$ U g . The design procedure involves calculating the EM field produced by $$\{I_k\}$$ { I k } and hence the perturbing Hamiltonian produced by $$\{I_k\}$$ { I k } finally resulting in the evolution operator produced by $$\{I_k\}$$ { I k } up to cubic order based on the Dyson series expansion. The gate error energy is thus obtained as a cubic polynomial in $$\{I_k\}$$ { I k } which is minimized using gravitational search algorithm. The signal to noise ratio (SNR) in the designed gate is higher as compared to that using quadratic Dyson series expansion. The SNR is calculated as the ratio of the Frobenius norm square of the desired gate to that of the desired gate error. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Realization of a quantum gate using gravitational search algorithm by perturbing three-dimensional harmonic oscillator with an electromagnetic field

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Publisher
Springer US
Copyright
Copyright © 2016 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-016-1270-7
Publisher site
See Article on Publisher Site

Abstract

The aim of this paper is to design a current source obtained as a representation of p information symbols $$\{I_k\}$$ { I k } so that the electromagnetic (EM) field generated interacts with a quantum atomic system producing after a fixed duration T a unitary gate U(T) that is as close as possible to a given unitary gate $$U_g$$ U g . The design procedure involves calculating the EM field produced by $$\{I_k\}$$ { I k } and hence the perturbing Hamiltonian produced by $$\{I_k\}$$ { I k } finally resulting in the evolution operator produced by $$\{I_k\}$$ { I k } up to cubic order based on the Dyson series expansion. The gate error energy is thus obtained as a cubic polynomial in $$\{I_k\}$$ { I k } which is minimized using gravitational search algorithm. The signal to noise ratio (SNR) in the designed gate is higher as compared to that using quadratic Dyson series expansion. The SNR is calculated as the ratio of the Frobenius norm square of the desired gate to that of the desired gate error.

Journal

Quantum Information ProcessingSpringer Journals

Published: Mar 1, 2016

References

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