On the determination of pure quantum states by the homodyne detection

The methods of reconstruction of the wave function of a pure state of a quantum system by quadrature distribution measured experimentally by the homodyne detection are considered. Such distribution is called optical tomogram of a state and containes one parameter θ. Wave function of a state is deter...

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Main Author: Andrei I. Dnestryan
Format: Article
Language:English
Published: Samara State Technical University 2016-03-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Subjects:
Online Access:http://mi.mathnet.ru/eng/vsgtu1462
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spelling doaj-a917930a6f7d4e938897d0642389e0702020-11-24T22:02:03ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812016-03-01201334210.14498/vsgtu1462On the determination of pure quantum states by the homodyne detectionAndrei I. Dnestryan0Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region, 141700, Russian FederationThe methods of reconstruction of the wave function of a pure state of a quantum system by quadrature distribution measured experimentally by the homodyne detection are considered. Such distribution is called optical tomogram of a state and containes one parameter θ. Wave function of a state is determined exactly by its optical tomogram if last one is known for all θ. But one can obtain optical tomogram from experiment of homodyne detection only for discrete number of θ. We introduce some approximate methods of reconstructing the state by such information about its optical tomogram. http://mi.mathnet.ru/eng/vsgtu1462 quantum tomographyquantum statedensity operatorwave function
collection DOAJ
language English
format Article
sources DOAJ
author Andrei I. Dnestryan
spellingShingle Andrei I. Dnestryan
On the determination of pure quantum states by the homodyne detection
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
quantum tomography
quantum state
density operator
wave function
author_facet Andrei I. Dnestryan
author_sort Andrei I. Dnestryan
title On the determination of pure quantum states by the homodyne detection
title_short On the determination of pure quantum states by the homodyne detection
title_full On the determination of pure quantum states by the homodyne detection
title_fullStr On the determination of pure quantum states by the homodyne detection
title_full_unstemmed On the determination of pure quantum states by the homodyne detection
title_sort on the determination of pure quantum states by the homodyne detection
publisher Samara State Technical University
series Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
issn 1991-8615
2310-7081
publishDate 2016-03-01
description The methods of reconstruction of the wave function of a pure state of a quantum system by quadrature distribution measured experimentally by the homodyne detection are considered. Such distribution is called optical tomogram of a state and containes one parameter θ. Wave function of a state is determined exactly by its optical tomogram if last one is known for all θ. But one can obtain optical tomogram from experiment of homodyne detection only for discrete number of θ. We introduce some approximate methods of reconstructing the state by such information about its optical tomogram.
topic quantum tomography
quantum state
density operator
wave function
url http://mi.mathnet.ru/eng/vsgtu1462
work_keys_str_mv AT andreiidnestryan onthedeterminationofpurequantumstatesbythehomodynedetection
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