Construction of quantum states by special superpositions of coherent states

2014/11/25 by Петер Адам, P. Adam, E. Molnar +15
Computer Science · Engineering · Physics and Astronomy · #FOS: Physical sciences #Optical and Acousto-Optic Technologies #Photonic and Optical Devices #Quantum Information and Cryptography #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.1411.6781

11 pages, 12 figures

arxiv created 2014/11/25 · openalex publication_date 2014/11/25 · arxiv updated 2014/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the optimal approximation of certain quantum states of a harmonic oscillator with the superposition of a finite number of coherent states in phase space placed either on an ellipse or on a certain lattice. These scenarios are currently experimentally feasible. The parameters of the ellipse and the lattice and the coefficients of the constituent coherent states are optimized numerically, via a genetic algorithm, in order to obtain the best approximation. It is found that for certain quantum states the obtained approximation is better than the ones known from the literature thus far.

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