Quantum tomography enhanced through parametric amplification

Quantum tomography is the standard method of reconstructing the Wigner function of quantum states of light by means of balanced homodyne detection. The reconstruction quality strongly depends on the photodetectors quantum efficiency and other losses in the measurement setup. In this article we analy...

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Main Authors: E Knyazev, K Yu Spasibko, M V Chekhova, F Ya Khalili
Format: Article
Language:English
Published: IOP Publishing 2018-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/aa99b4
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author E Knyazev
K Yu Spasibko
M V Chekhova
F Ya Khalili
author_facet E Knyazev
K Yu Spasibko
M V Chekhova
F Ya Khalili
author_sort E Knyazev
collection DOAJ
description Quantum tomography is the standard method of reconstructing the Wigner function of quantum states of light by means of balanced homodyne detection. The reconstruction quality strongly depends on the photodetectors quantum efficiency and other losses in the measurement setup. In this article we analyze in detail a protocol of enhanced quantum tomography, proposed by Leonhardt and Paul [ 1 ] which allows one to reduce the degrading effect of detection losses. It is based on phase-sensitive parametric amplification, with the phase of the amplified quadrature being scanned synchronously with the local oscillator phase. Although with sufficiently strong amplification the protocol enables overcoming any detection inefficiency, it was so far not implemented in the experiment, probably due to the losses in the amplifier. Here we discuss a possible proof-of-principle experiment with a traveling-wave parametric amplifier. We show that with the state-of-the-art optical elements, the protocol enables high fidelity tomographic reconstruction of bright non-classical states of light. We consider two examples: bright squeezed vacuum and squeezed single-photon state, with the latter being a non-Gaussian state and both strongly affected by the losses.
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spelling doaj.art-c3d4432fbc084f8d910e1556fb946a722023-08-08T14:49:54ZengIOP PublishingNew Journal of Physics1367-26302018-01-0120101300510.1088/1367-2630/aa99b4Quantum tomography enhanced through parametric amplificationE Knyazev0https://orcid.org/0000-0002-9621-5967K Yu Spasibko1https://orcid.org/0000-0001-6667-5084M V Chekhova2https://orcid.org/0000-0002-3399-2101F Ya Khalili3Faculty of Physics, M.V. Lomonosov Moscow State University , 119991 Moscow, RussiaMax-Planck-Institute for the Science of Light, Staudtstrasse 2, D-91058 Erlangen, Germany; Friedrich-Alexander-Universität Erlangen-Nürnberg, Staudtstrasse 7/B2, D-91058 Erlangen, GermanyFaculty of Physics, M.V. Lomonosov Moscow State University , 119991 Moscow, Russia; Max-Planck-Institute for the Science of Light, Staudtstrasse 2, D-91058 Erlangen, Germany; Friedrich-Alexander-Universität Erlangen-Nürnberg, Staudtstrasse 7/B2, D-91058 Erlangen, GermanyFaculty of Physics, M.V. Lomonosov Moscow State University , 119991 Moscow, Russia; Russian Quantum Center, 143025 Skolkovo, RussiaQuantum tomography is the standard method of reconstructing the Wigner function of quantum states of light by means of balanced homodyne detection. The reconstruction quality strongly depends on the photodetectors quantum efficiency and other losses in the measurement setup. In this article we analyze in detail a protocol of enhanced quantum tomography, proposed by Leonhardt and Paul [ 1 ] which allows one to reduce the degrading effect of detection losses. It is based on phase-sensitive parametric amplification, with the phase of the amplified quadrature being scanned synchronously with the local oscillator phase. Although with sufficiently strong amplification the protocol enables overcoming any detection inefficiency, it was so far not implemented in the experiment, probably due to the losses in the amplifier. Here we discuss a possible proof-of-principle experiment with a traveling-wave parametric amplifier. We show that with the state-of-the-art optical elements, the protocol enables high fidelity tomographic reconstruction of bright non-classical states of light. We consider two examples: bright squeezed vacuum and squeezed single-photon state, with the latter being a non-Gaussian state and both strongly affected by the losses.https://doi.org/10.1088/1367-2630/aa99b4quantum tomographyoptical lossesnon-classical lightWigner function
spellingShingle E Knyazev
K Yu Spasibko
M V Chekhova
F Ya Khalili
Quantum tomography enhanced through parametric amplification
New Journal of Physics
quantum tomography
optical losses
non-classical light
Wigner function
title Quantum tomography enhanced through parametric amplification
title_full Quantum tomography enhanced through parametric amplification
title_fullStr Quantum tomography enhanced through parametric amplification
title_full_unstemmed Quantum tomography enhanced through parametric amplification
title_short Quantum tomography enhanced through parametric amplification
title_sort quantum tomography enhanced through parametric amplification
topic quantum tomography
optical losses
non-classical light
Wigner function
url https://doi.org/10.1088/1367-2630/aa99b4
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AT fyakhalili quantumtomographyenhancedthroughparametricamplification