---
_id: '63745'
abstract:
- lang: eng
  text: Multimode squeezed light is an increasingly popular tool in photonic quantum
    technologies, including sensing, imaging, and computation. Meanwhile, the existing
    methods of its characterization are technically complicated, which reduces the
    level of squeezing, and mostly deal with a single mode at a time. Here, for the
    first time, to the best of our knowledge, we employ optical parametric amplification
    to characterize multiple squeezing eigenmodes simultaneously. We retrieve the
    shapes and squeezing degrees of all modes at once through direct detection followed
    by modal decomposition. This method is tolerant to inefficient detection and does
    not require a local oscillator. For a spectrally and spatially multimode squeezed
    vacuum, we characterize eight strongest spatial modes, obtaining squeezing and
    anti-squeezing values of up to −5.2 ± 0.2 dB and 8.6 ± 0.3 dB, respectively, despite
    the 50% detection loss. This work, being the first exploration of an optical parametric
    amplifier’s multimode capability for squeezing detection, paves the way for the
    real-time detection of multimode squeezing.
article_number: '36'
article_type: original
author:
- first_name: Ismail
  full_name: Barakat, Ismail
  last_name: Barakat
- first_name: Mahmoud
  full_name: Kalash, Mahmoud
  last_name: Kalash
- first_name: Dennis
  full_name: Scharwald, Dennis
  id: '55907'
  last_name: Scharwald
  orcid: 0009-0007-5654-5412
- first_name: Polina
  full_name: Sharapova, Polina
  id: '60286'
  last_name: Sharapova
- first_name: Norbert
  full_name: Lindlein, Norbert
  last_name: Lindlein
- first_name: Maria
  full_name: Chekhova, Maria
  last_name: Chekhova
citation:
  ama: Barakat I, Kalash M, Scharwald D, Sharapova P, Lindlein N, Chekhova M. Simultaneous
    measurement of multimode squeezing through multimode phase-sensitive amplification.
    <i>Optica Quantum</i>. 2025;3(1). doi:<a href="https://doi.org/10.1364/opticaq.524682">10.1364/opticaq.524682</a>
  apa: Barakat, I., Kalash, M., Scharwald, D., Sharapova, P., Lindlein, N., &#38;
    Chekhova, M. (2025). Simultaneous measurement of multimode squeezing through multimode
    phase-sensitive amplification. <i>Optica Quantum</i>, <i>3</i>(1), Article 36.
    <a href="https://doi.org/10.1364/opticaq.524682">https://doi.org/10.1364/opticaq.524682</a>
  bibtex: '@article{Barakat_Kalash_Scharwald_Sharapova_Lindlein_Chekhova_2025, title={Simultaneous
    measurement of multimode squeezing through multimode phase-sensitive amplification},
    volume={3}, DOI={<a href="https://doi.org/10.1364/opticaq.524682">10.1364/opticaq.524682</a>},
    number={136}, journal={Optica Quantum}, publisher={Optica Publishing Group}, author={Barakat,
    Ismail and Kalash, Mahmoud and Scharwald, Dennis and Sharapova, Polina and Lindlein,
    Norbert and Chekhova, Maria}, year={2025} }'
  chicago: Barakat, Ismail, Mahmoud Kalash, Dennis Scharwald, Polina Sharapova, Norbert
    Lindlein, and Maria Chekhova. “Simultaneous Measurement of Multimode Squeezing
    through Multimode Phase-Sensitive Amplification.” <i>Optica Quantum</i> 3, no.
    1 (2025). <a href="https://doi.org/10.1364/opticaq.524682">https://doi.org/10.1364/opticaq.524682</a>.
  ieee: 'I. Barakat, M. Kalash, D. Scharwald, P. Sharapova, N. Lindlein, and M. Chekhova,
    “Simultaneous measurement of multimode squeezing through multimode phase-sensitive
    amplification,” <i>Optica Quantum</i>, vol. 3, no. 1, Art. no. 36, 2025, doi:
    <a href="https://doi.org/10.1364/opticaq.524682">10.1364/opticaq.524682</a>.'
  mla: Barakat, Ismail, et al. “Simultaneous Measurement of Multimode Squeezing through
    Multimode Phase-Sensitive Amplification.” <i>Optica Quantum</i>, vol. 3, no. 1,
    36, Optica Publishing Group, 2025, doi:<a href="https://doi.org/10.1364/opticaq.524682">10.1364/opticaq.524682</a>.
  short: I. Barakat, M. Kalash, D. Scharwald, P. Sharapova, N. Lindlein, M. Chekhova,
    Optica Quantum 3 (2025).
date_created: 2026-01-26T15:57:13Z
date_updated: 2026-02-10T22:44:44Z
department:
- _id: '15'
- _id: '569'
- _id: '170'
- _id: '35'
- _id: '429'
doi: 10.1364/opticaq.524682
intvolume: '         3'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://opg.optica.org/opticaq/viewmedia.cfm?uri=opticaq-3-1-36&seq=0
oa: '1'
project:
- _id: '53'
  name: 'TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten
    zu funktionellen Strukturen'
- _id: '56'
  name: TRR 142 - Project Area C
- _id: '174'
  name: 'TRR 142 ; TP: C10: Erzeugung und Charakterisierung von Quantenlicht in nichtlinearen
    Systemen: Eine theoretische Analyse'
- _id: '52'
  name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publication: Optica Quantum
publication_identifier:
  issn:
  - 2837-6714
publication_status: published
publisher: Optica Publishing Group
status: public
title: Simultaneous measurement of multimode squeezing through multimode phase-sensitive
  amplification
type: journal_article
user_id: '55907'
volume: 3
year: '2025'
...
---
_id: '56267'
author:
- first_name: Laura
  full_name: Serino, Laura
  id: '88242'
  last_name: Serino
- first_name: Werner
  full_name: Ridder, Werner
  id: '63574'
  last_name: Ridder
- first_name: Abhinandan
  full_name: Bhattacharjee, Abhinandan
  id: '95902'
  last_name: Bhattacharjee
- first_name: Jano
  full_name: Gil López, Jano
  id: '51223'
  last_name: Gil López
- first_name: Benjamin
  full_name: Brecht, Benjamin
  id: '27150'
  last_name: Brecht
  orcid: '0000-0003-4140-0556 '
- first_name: Christine
  full_name: Silberhorn, Christine
  id: '26263'
  last_name: Silberhorn
citation:
  ama: 'Serino L, Ridder W, Bhattacharjee A, Gil López J, Brecht B, Silberhorn C.
    Orchestrating time and color: a programmable source of high-dimensional entanglement.
    <i>Optica Quantum</i>. Published online 2024. doi:<a href="https://doi.org/10.1364/opticaq.532334">10.1364/opticaq.532334</a>'
  apa: 'Serino, L., Ridder, W., Bhattacharjee, A., Gil López, J., Brecht, B., &#38;
    Silberhorn, C. (2024). Orchestrating time and color: a programmable source of
    high-dimensional entanglement. <i>Optica Quantum</i>. <a href="https://doi.org/10.1364/opticaq.532334">https://doi.org/10.1364/opticaq.532334</a>'
  bibtex: '@article{Serino_Ridder_Bhattacharjee_Gil López_Brecht_Silberhorn_2024,
    title={Orchestrating time and color: a programmable source of high-dimensional
    entanglement}, DOI={<a href="https://doi.org/10.1364/opticaq.532334">10.1364/opticaq.532334</a>},
    journal={Optica Quantum}, publisher={Optica Publishing Group}, author={Serino,
    Laura and Ridder, Werner and Bhattacharjee, Abhinandan and Gil López, Jano and
    Brecht, Benjamin and Silberhorn, Christine}, year={2024} }'
  chicago: 'Serino, Laura, Werner Ridder, Abhinandan Bhattacharjee, Jano Gil López,
    Benjamin Brecht, and Christine Silberhorn. “Orchestrating Time and Color: A Programmable
    Source of High-Dimensional Entanglement.” <i>Optica Quantum</i>, 2024. <a href="https://doi.org/10.1364/opticaq.532334">https://doi.org/10.1364/opticaq.532334</a>.'
  ieee: 'L. Serino, W. Ridder, A. Bhattacharjee, J. Gil López, B. Brecht, and C. Silberhorn,
    “Orchestrating time and color: a programmable source of high-dimensional entanglement,”
    <i>Optica Quantum</i>, 2024, doi: <a href="https://doi.org/10.1364/opticaq.532334">10.1364/opticaq.532334</a>.'
  mla: 'Serino, Laura, et al. “Orchestrating Time and Color: A Programmable Source
    of High-Dimensional Entanglement.” <i>Optica Quantum</i>, Optica Publishing Group,
    2024, doi:<a href="https://doi.org/10.1364/opticaq.532334">10.1364/opticaq.532334</a>.'
  short: L. Serino, W. Ridder, A. Bhattacharjee, J. Gil López, B. Brecht, C. Silberhorn,
    Optica Quantum (2024).
date_created: 2024-09-27T11:46:59Z
date_updated: 2025-12-01T08:49:46Z
department:
- _id: '288'
- _id: '623'
- _id: '288'
doi: 10.1364/opticaq.532334
language:
- iso: eng
project:
- _id: '211'
  name: 'QuICHE: Quanteninformation und Quantenkommunikation mit hochdimensionaler
    Informationskodierung (QuICHE)'
publication: Optica Quantum
publication_identifier:
  issn:
  - 2837-6714
publication_status: published
publisher: Optica Publishing Group
status: public
title: 'Orchestrating time and color: a programmable source of high-dimensional entanglement'
type: journal_article
user_id: '63574'
year: '2024'
...
---
_id: '50840'
abstract:
- lang: eng
  text: <jats:p>Superconducting nanowire single-photon detectors (SNSPDs) have been
    widely used to study the discrete nature of quantum states of light in the form
    of photon-counting experiments. We show that SNSPDs can also be used to study
    continuous variables of optical quantum states by performing homodyne detection
    at a bandwidth of 400 kHz. By measuring the interference of a continuous-wave
    field of a local oscillator with the field of the vacuum state using two SNSPDs,
    we show that the variance of the difference in count rates is linearly proportional
    to the photon flux of the local oscillator over almost five orders of magnitude.
    The resulting shot-noise clearance of (46.0 ± 1.1) dB is the highest reported
    clearance for a balanced optical homodyne detector, demonstrating their potential
    for measuring highly squeezed states in the continuous-wave regime. In addition,
    we measured a CMRR = 22.4 dB. From the joint click counting statistics, we also
    measure the phase-dependent quadrature of a weak coherent state to demonstrate
    our device’s functionality as a homodyne detector.</jats:p>
article_number: '1'
author:
- first_name: Maximilian
  full_name: Protte, Maximilian
  id: '46170'
  last_name: Protte
- first_name: Timon
  full_name: Schapeler, Timon
  id: '55629'
  last_name: Schapeler
  orcid: 0000-0001-7652-1716
- first_name: Jan
  full_name: Sperling, Jan
  id: '75127'
  last_name: Sperling
  orcid: 0000-0002-5844-3205
- first_name: Tim
  full_name: Bartley, Tim
  id: '49683'
  last_name: Bartley
citation:
  ama: Protte M, Schapeler T, Sperling J, Bartley T. Low-noise balanced homodyne detection
    with superconducting nanowire single-photon detectors. <i>Optica Quantum</i>.
    2024;2(1). doi:<a href="https://doi.org/10.1364/opticaq.502201">10.1364/opticaq.502201</a>
  apa: Protte, M., Schapeler, T., Sperling, J., &#38; Bartley, T. (2024). Low-noise
    balanced homodyne detection with superconducting nanowire single-photon detectors.
    <i>Optica Quantum</i>, <i>2</i>(1), Article 1. <a href="https://doi.org/10.1364/opticaq.502201">https://doi.org/10.1364/opticaq.502201</a>
  bibtex: '@article{Protte_Schapeler_Sperling_Bartley_2024, title={Low-noise balanced
    homodyne detection with superconducting nanowire single-photon detectors}, volume={2},
    DOI={<a href="https://doi.org/10.1364/opticaq.502201">10.1364/opticaq.502201</a>},
    number={11}, journal={Optica Quantum}, publisher={Optica Publishing Group}, author={Protte,
    Maximilian and Schapeler, Timon and Sperling, Jan and Bartley, Tim}, year={2024}
    }'
  chicago: Protte, Maximilian, Timon Schapeler, Jan Sperling, and Tim Bartley. “Low-Noise
    Balanced Homodyne Detection with Superconducting Nanowire Single-Photon Detectors.”
    <i>Optica Quantum</i> 2, no. 1 (2024). <a href="https://doi.org/10.1364/opticaq.502201">https://doi.org/10.1364/opticaq.502201</a>.
  ieee: 'M. Protte, T. Schapeler, J. Sperling, and T. Bartley, “Low-noise balanced
    homodyne detection with superconducting nanowire single-photon detectors,” <i>Optica
    Quantum</i>, vol. 2, no. 1, Art. no. 1, 2024, doi: <a href="https://doi.org/10.1364/opticaq.502201">10.1364/opticaq.502201</a>.'
  mla: Protte, Maximilian, et al. “Low-Noise Balanced Homodyne Detection with Superconducting
    Nanowire Single-Photon Detectors.” <i>Optica Quantum</i>, vol. 2, no. 1, 1, Optica
    Publishing Group, 2024, doi:<a href="https://doi.org/10.1364/opticaq.502201">10.1364/opticaq.502201</a>.
  short: M. Protte, T. Schapeler, J. Sperling, T. Bartley, Optica Quantum 2 (2024).
date_created: 2024-01-25T11:48:02Z
date_updated: 2025-12-18T17:06:27Z
department:
- _id: '15'
- _id: '623'
doi: 10.1364/opticaq.502201
intvolume: '         2'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
oa: '1'
project:
- _id: '191'
  name: 'PhoQuant: Photonische Quantencomputer -  Quantencomputing Testplattform'
- _id: '239'
  name: 'ERC-Grant: QuESADILLA: Quantum Engineering Superconducting Array Detectors
    in Low-Light Applications'
- _id: '209'
  name: 'ISOQC: Quantenkommunikation mit integrierter Optik im Zusammenhang mit supraleitender
    Elektronik'
publication: Optica Quantum
publication_identifier:
  issn:
  - 2837-6714
publication_status: published
publisher: Optica Publishing Group
status: public
title: Low-noise balanced homodyne detection with superconducting nanowire single-photon
  detectors
type: journal_article
user_id: '55629'
volume: 2
year: '2024'
...
