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

Content Provider	Springer Nature Link
Author	Sharma, Navneet Rawat, Tarun Kumar Parthasarathy, Harish Gautam, Kumar
Copyright Year	2016
Abstract	The aim of this paper is to design a current source obtained as a representation of p information symbols $$\{I_k\}$$ 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 $$U_g$$ . The design procedure involves calculating the EM field produced by $$\{I_k\}$$ and hence the perturbing Hamiltonian produced by $$\{I_k\}$$ finally resulting in the evolution operator produced by $$\{I_k\}$$ up to cubic order based on the Dyson series expansion. The gate error energy is thus obtained as a cubic polynomial in $$\{I_k\}$$ 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.
Starting Page	2275
Ending Page	2302
Page Count	28
File Format	PDF
ISSN	15700755
Journal	Quantum Information Processing
Volume Number	15
Issue Number	6
e-ISSN	15731332
Language	English
Publisher	Springer US
Publisher Date	2016-03-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Schrödinger equation Quantum mechanical perturbation theory Dyson series 3-D quantum harmonic oscillators Pulse-amplitude-modulated (PAM) signal Quantum gate Gravitational search algorithm Quantum Information Technology, Spintronics Quantum Computing Data Structures, Cryptology and Information Theory Quantum Physics Mathematical Physics
Content Type	Text
Resource Type	Article
Subject	Statistical and Nonlinear Physics Theoretical Computer Science Signal Processing Electronic, Optical and Magnetic Materials Electrical and Electronic Engineering Modeling and Simulation

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