---
_id: '65096'
abstract:
- lang: eng
  text: "<jats:p>\r\n                    Precise measurements of both the arrival
    time and carrier frequency of light pulses are essential for time–frequency-encoded
    quantum technologies. Quantum mechanics, however, imposes fundamental limits on
    the simultaneous determination of these quantities. In this work, we derive and
    experimentally verify the quantum uncertainty bounds governing joint time–frequency
    measurements. We show that when detection is restricted to finite time windows,
    the problem is naturally described by a quantum rotor, rendering the commonly
    used Heisenberg uncertainty relation inapplicable. We further propose an optimal
    detection scheme that saturates these fundamental limits. By sampling the\r\n
    \                   <jats:italic toggle=\"yes\">Q</jats:italic>\r\n                    -function,
    we demonstrate the reconstruction of the Wigner function beyond the harmonic oscillator.
    Using an experimental implementation based on a quantum pulse gate, we confirm
    that the proposed scheme approaches the ultimate quantum limit for simultaneous
    time–frequency measurements. These results provide a framework for joint time–frequency
    detection with direct implications for precision measurements and quantum information
    processing.\r\n                  </jats:p>"
article_number: '548'
author:
- first_name: Patrick Fabian
  full_name: Folge, Patrick Fabian
  id: '88605'
  last_name: Folge
- first_name: Laura Maria
  full_name: Serino, Laura Maria
  id: '88242'
  last_name: Serino
- first_name: Ladislav
  full_name: Mišta, Ladislav
  last_name: Mišta
- 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
- first_name: Jaroslav
  full_name: Řeháček, Jaroslav
  last_name: Řeháček
- first_name: Zdeněk
  full_name: Hradil, Zdeněk
  last_name: Hradil
citation:
  ama: Folge PF, Serino LM, Mišta L, et al. Quantum-limited detection of the arrival
    time and the carrier frequency of time-dependent signals. <i>Optica</i>. 2026;13(3).
    doi:<a href="https://doi.org/10.1364/optica.579459">10.1364/optica.579459</a>
  apa: Folge, P. F., Serino, L. M., Mišta, L., Brecht, B., Silberhorn, C., Řeháček,
    J., &#38; Hradil, Z. (2026). Quantum-limited detection of the arrival time and
    the carrier frequency of time-dependent signals. <i>Optica</i>, <i>13</i>(3),
    Article 548. <a href="https://doi.org/10.1364/optica.579459">https://doi.org/10.1364/optica.579459</a>
  bibtex: '@article{Folge_Serino_Mišta_Brecht_Silberhorn_Řeháček_Hradil_2026, title={Quantum-limited
    detection of the arrival time and the carrier frequency of time-dependent signals},
    volume={13}, DOI={<a href="https://doi.org/10.1364/optica.579459">10.1364/optica.579459</a>},
    number={3548}, journal={Optica}, publisher={Optica Publishing Group}, author={Folge,
    Patrick Fabian and Serino, Laura Maria and Mišta, Ladislav and Brecht, Benjamin
    and Silberhorn, Christine and Řeháček, Jaroslav and Hradil, Zdeněk}, year={2026}
    }'
  chicago: Folge, Patrick Fabian, Laura Maria Serino, Ladislav Mišta, Benjamin Brecht,
    Christine Silberhorn, Jaroslav Řeháček, and Zdeněk Hradil. “Quantum-Limited Detection
    of the Arrival Time and the Carrier Frequency of Time-Dependent Signals.” <i>Optica</i>
    13, no. 3 (2026). <a href="https://doi.org/10.1364/optica.579459">https://doi.org/10.1364/optica.579459</a>.
  ieee: 'P. F. Folge <i>et al.</i>, “Quantum-limited detection of the arrival time
    and the carrier frequency of time-dependent signals,” <i>Optica</i>, vol. 13,
    no. 3, Art. no. 548, 2026, doi: <a href="https://doi.org/10.1364/optica.579459">10.1364/optica.579459</a>.'
  mla: Folge, Patrick Fabian, et al. “Quantum-Limited Detection of the Arrival Time
    and the Carrier Frequency of Time-Dependent Signals.” <i>Optica</i>, vol. 13,
    no. 3, 548, Optica Publishing Group, 2026, doi:<a href="https://doi.org/10.1364/optica.579459">10.1364/optica.579459</a>.
  short: P.F. Folge, L.M. Serino, L. Mišta, B. Brecht, C. Silberhorn, J. Řeháček,
    Z. Hradil, Optica 13 (2026).
date_created: 2026-03-23T12:30:02Z
date_updated: 2026-03-25T07:59:23Z
department:
- _id: '15'
- _id: '623'
- _id: '288'
doi: 10.1364/optica.579459
intvolume: '        13'
issue: '3'
language:
- iso: eng
publication: Optica
publication_identifier:
  issn:
  - 2334-2536
publication_status: published
publisher: Optica Publishing Group
status: public
title: Quantum-limited detection of the arrival time and the carrier frequency of
  time-dependent signals
type: journal_article
user_id: '27150'
volume: 13
year: '2026'
...
---
_id: '65095'
abstract:
- lang: eng
  text: "<jats:p>\r\n                    We provide experimental validation of tight
    entropic uncertainty relations for the Shannon entropies of observables with mutually
    unbiased eigenstates in high dimensions. In particular, we address the cases of
    dimensions\r\n                    <a:math xmlns:a=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                     <a:mrow>\r\n                        <a:mi>d</a:mi>\r\n                        <a:mo>=</a:mo>\r\n
    \                       <a:mn>3</a:mn>\r\n                      </a:mrow>\r\n
    \                   </a:math>\r\n                    , 4, and 5 and consider from
    2 to\r\n                    <b:math xmlns:b=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                     <b:mrow>\r\n                        <b:mi>d</b:mi>\r\n                        <b:mo>+</b:mo>\r\n
    \                       <b:mn>1</b:mn>\r\n                      </b:mrow>\r\n
    \                   </b:math>\r\n                    mutually unbiased bases.
    The experiment is based on pulsed frequency bins measured with a multioutput quantum
    pulse gate, which can perform projective measurements on a complete high-dimensional
    basis in the time-frequency domain. Our results fit the theoretical predictions:
    the bound on the sum of the entropies is never violated and is saturated by the
    states that minimize the uncertainty relations.\r\n                  </jats:p>"
article_number: '032420'
author:
- first_name: Laura Maria
  full_name: Serino, Laura Maria
  id: '88242'
  last_name: Serino
- first_name: Giovanni
  full_name: Chesi, Giovanni
  last_name: Chesi
- first_name: Benjamin
  full_name: Brecht, Benjamin
  id: '27150'
  last_name: Brecht
  orcid: '0000-0003-4140-0556 '
- first_name: Lorenzo
  full_name: Maccone, Lorenzo
  last_name: Maccone
- first_name: Chiara
  full_name: Macchiavello, Chiara
  last_name: Macchiavello
- first_name: Christine
  full_name: Silberhorn, Christine
  id: '26263'
  last_name: Silberhorn
citation:
  ama: Serino LM, Chesi G, Brecht B, Maccone L, Macchiavello C, Silberhorn C. Experimental
    entropic uncertainty relations in dimensions three to five. <i>Physical Review
    A</i>. 2026;113(3). doi:<a href="https://doi.org/10.1103/f6c4-jtlc">10.1103/f6c4-jtlc</a>
  apa: Serino, L. M., Chesi, G., Brecht, B., Maccone, L., Macchiavello, C., &#38;
    Silberhorn, C. (2026). Experimental entropic uncertainty relations in dimensions
    three to five. <i>Physical Review A</i>, <i>113</i>(3), Article 032420. <a href="https://doi.org/10.1103/f6c4-jtlc">https://doi.org/10.1103/f6c4-jtlc</a>
  bibtex: '@article{Serino_Chesi_Brecht_Maccone_Macchiavello_Silberhorn_2026, title={Experimental
    entropic uncertainty relations in dimensions three to five}, volume={113}, DOI={<a
    href="https://doi.org/10.1103/f6c4-jtlc">10.1103/f6c4-jtlc</a>}, number={3032420},
    journal={Physical Review A}, publisher={American Physical Society (APS)}, author={Serino,
    Laura Maria and Chesi, Giovanni and Brecht, Benjamin and Maccone, Lorenzo and
    Macchiavello, Chiara and Silberhorn, Christine}, year={2026} }'
  chicago: Serino, Laura Maria, Giovanni Chesi, Benjamin Brecht, Lorenzo Maccone,
    Chiara Macchiavello, and Christine Silberhorn. “Experimental Entropic Uncertainty
    Relations in Dimensions Three to Five.” <i>Physical Review A</i> 113, no. 3 (2026).
    <a href="https://doi.org/10.1103/f6c4-jtlc">https://doi.org/10.1103/f6c4-jtlc</a>.
  ieee: 'L. M. Serino, G. Chesi, B. Brecht, L. Maccone, C. Macchiavello, and C. Silberhorn,
    “Experimental entropic uncertainty relations in dimensions three to five,” <i>Physical
    Review A</i>, vol. 113, no. 3, Art. no. 032420, 2026, doi: <a href="https://doi.org/10.1103/f6c4-jtlc">10.1103/f6c4-jtlc</a>.'
  mla: Serino, Laura Maria, et al. “Experimental Entropic Uncertainty Relations in
    Dimensions Three to Five.” <i>Physical Review A</i>, vol. 113, no. 3, 032420,
    American Physical Society (APS), 2026, doi:<a href="https://doi.org/10.1103/f6c4-jtlc">10.1103/f6c4-jtlc</a>.
  short: L.M. Serino, G. Chesi, B. Brecht, L. Maccone, C. Macchiavello, C. Silberhorn,
    Physical Review A 113 (2026).
date_created: 2026-03-23T12:29:23Z
date_updated: 2026-03-25T07:59:36Z
department:
- _id: '15'
- _id: '623'
- _id: '288'
doi: 10.1103/f6c4-jtlc
intvolume: '       113'
issue: '3'
language:
- iso: eng
publication: Physical Review A
publication_identifier:
  issn:
  - 2469-9926
  - 2469-9934
publication_status: published
publisher: American Physical Society (APS)
status: public
title: Experimental entropic uncertainty relations in dimensions three to five
type: journal_article
user_id: '27150'
volume: 113
year: '2026'
...
---
_id: '63213'
abstract:
- lang: eng
  text: '<jats:p>Quantum uncertainty relations impose fundamental limits on the joint
    knowledge that can be acquired from complementary observables: Perfect knowledge
    of a quantum state in one basis implies maximal indetermination in all other mutually
    unbiased bases (MUBs). Uncertainty relations derived from joint properties of
    the MUBs are generally assumed to be uniform, irrespective of the specific observables
    chosen within a set. In this work, we demonstrate instead that the uncertainty
    relations can depend on the choice of observables. Through both experimental observation
    and numerical methods, we show that selecting different sets of three MUBs in
    a five-dimensional quantum system results in distinct uncertainty bounds, i.e.,
    in varying degrees of complementarity, in terms of both entropy and variance.</jats:p>'
article_number: '033152'
article_type: original
author:
- first_name: Laura Maria
  full_name: Serino, Laura Maria
  id: '88242'
  last_name: Serino
- first_name: Giovanni
  full_name: Chesi, Giovanni
  last_name: Chesi
- first_name: Benjamin
  full_name: Brecht, Benjamin
  id: '27150'
  last_name: Brecht
  orcid: '0000-0003-4140-0556 '
- first_name: Lorenzo
  full_name: Maccone, Lorenzo
  last_name: Maccone
- first_name: Chiara
  full_name: Macchiavello, Chiara
  last_name: Macchiavello
- first_name: Christine
  full_name: Silberhorn, Christine
  id: '26263'
  last_name: Silberhorn
citation:
  ama: 'Serino LM, Chesi G, Brecht B, Maccone L, Macchiavello C, Silberhorn C. Complementarity-based
    complementarity: The choice of mutually unbiased observables shapes quantum uncertainty
    relations. <i>Physical Review Research</i>. 2025;7(3). doi:<a href="https://doi.org/10.1103/v24q-sl6n">10.1103/v24q-sl6n</a>'
  apa: 'Serino, L. M., Chesi, G., Brecht, B., Maccone, L., Macchiavello, C., &#38;
    Silberhorn, C. (2025). Complementarity-based complementarity: The choice of mutually
    unbiased observables shapes quantum uncertainty relations. <i>Physical Review
    Research</i>, <i>7</i>(3), Article 033152. <a href="https://doi.org/10.1103/v24q-sl6n">https://doi.org/10.1103/v24q-sl6n</a>'
  bibtex: '@article{Serino_Chesi_Brecht_Maccone_Macchiavello_Silberhorn_2025, title={Complementarity-based
    complementarity: The choice of mutually unbiased observables shapes quantum uncertainty
    relations}, volume={7}, DOI={<a href="https://doi.org/10.1103/v24q-sl6n">10.1103/v24q-sl6n</a>},
    number={3033152}, journal={Physical Review Research}, publisher={American Physical
    Society (APS)}, author={Serino, Laura Maria and Chesi, Giovanni and Brecht, Benjamin
    and Maccone, Lorenzo and Macchiavello, Chiara and Silberhorn, Christine}, year={2025}
    }'
  chicago: 'Serino, Laura Maria, Giovanni Chesi, Benjamin Brecht, Lorenzo Maccone,
    Chiara Macchiavello, and Christine Silberhorn. “Complementarity-Based Complementarity:
    The Choice of Mutually Unbiased Observables Shapes Quantum Uncertainty Relations.”
    <i>Physical Review Research</i> 7, no. 3 (2025). <a href="https://doi.org/10.1103/v24q-sl6n">https://doi.org/10.1103/v24q-sl6n</a>.'
  ieee: 'L. M. Serino, G. Chesi, B. Brecht, L. Maccone, C. Macchiavello, and C. Silberhorn,
    “Complementarity-based complementarity: The choice of mutually unbiased observables
    shapes quantum uncertainty relations,” <i>Physical Review Research</i>, vol. 7,
    no. 3, Art. no. 033152, 2025, doi: <a href="https://doi.org/10.1103/v24q-sl6n">10.1103/v24q-sl6n</a>.'
  mla: 'Serino, Laura Maria, et al. “Complementarity-Based Complementarity: The Choice
    of Mutually Unbiased Observables Shapes Quantum Uncertainty Relations.” <i>Physical
    Review Research</i>, vol. 7, no. 3, 033152, American Physical Society (APS), 2025,
    doi:<a href="https://doi.org/10.1103/v24q-sl6n">10.1103/v24q-sl6n</a>.'
  short: L.M. Serino, G. Chesi, B. Brecht, L. Maccone, C. Macchiavello, C. Silberhorn,
    Physical Review Research 7 (2025).
date_created: 2025-12-18T16:04:45Z
date_updated: 2025-12-18T16:05:45Z
department:
- _id: '15'
- _id: '623'
doi: 10.1103/v24q-sl6n
intvolume: '         7'
issue: '3'
language:
- iso: eng
publication: Physical Review Research
publication_identifier:
  issn:
  - 2643-1564
publication_status: published
publisher: American Physical Society (APS)
status: public
title: 'Complementarity-based complementarity: The choice of mutually unbiased observables
  shapes quantum uncertainty relations'
type: journal_article
user_id: '27150'
volume: 7
year: '2025'
...
---
_id: '63215'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n               <jats:p>High-dimensional
    time-frequency encodings have the potential to significantly advance quantum information
    science; however, practical applications require precise knowledge of the encoded
    quantum states, which becomes increasingly challenging for larger Hilbert spaces.
    Self-guided tomography (SGT) has emerged as a practical and scalable technique
    for this purpose in the spatial domain. Here, we apply SGT to estimate time-frequency
    states using a multi-output quantum pulse gate. We achieve fidelities of more
    than 99% for 3- and 5-dimensional states without the need for calibration or post-processing.
    We demonstrate the robustness of SGT against statistical and environmental noise,
    highlighting its efficacy in the photon-starved regime typical of quantum information
    applications.</jats:p>"
article_number: '025024'
author:
- first_name: Laura Maria
  full_name: Serino, Laura Maria
  id: '88242'
  last_name: Serino
- first_name: Markus
  full_name: Rambach, Markus
  last_name: Rambach
- first_name: Benjamin
  full_name: Brecht, Benjamin
  id: '27150'
  last_name: Brecht
  orcid: '0000-0003-4140-0556 '
- first_name: Jacquiline
  full_name: Romero, Jacquiline
  last_name: Romero
- first_name: Christine
  full_name: Silberhorn, Christine
  id: '26263'
  last_name: Silberhorn
citation:
  ama: Serino LM, Rambach M, Brecht B, Romero J, Silberhorn C. Self-guided tomography
    of time-frequency qudits. <i>Quantum Science and Technology</i>. 2025;10(2). doi:<a
    href="https://doi.org/10.1088/2058-9565/adb0ea">10.1088/2058-9565/adb0ea</a>
  apa: Serino, L. M., Rambach, M., Brecht, B., Romero, J., &#38; Silberhorn, C. (2025).
    Self-guided tomography of time-frequency qudits. <i>Quantum Science and Technology</i>,
    <i>10</i>(2), Article 025024. <a href="https://doi.org/10.1088/2058-9565/adb0ea">https://doi.org/10.1088/2058-9565/adb0ea</a>
  bibtex: '@article{Serino_Rambach_Brecht_Romero_Silberhorn_2025, title={Self-guided
    tomography of time-frequency qudits}, volume={10}, DOI={<a href="https://doi.org/10.1088/2058-9565/adb0ea">10.1088/2058-9565/adb0ea</a>},
    number={2025024}, journal={Quantum Science and Technology}, publisher={IOP Publishing},
    author={Serino, Laura Maria and Rambach, Markus and Brecht, Benjamin and Romero,
    Jacquiline and Silberhorn, Christine}, year={2025} }'
  chicago: Serino, Laura Maria, Markus Rambach, Benjamin Brecht, Jacquiline Romero,
    and Christine Silberhorn. “Self-Guided Tomography of Time-Frequency Qudits.” <i>Quantum
    Science and Technology</i> 10, no. 2 (2025). <a href="https://doi.org/10.1088/2058-9565/adb0ea">https://doi.org/10.1088/2058-9565/adb0ea</a>.
  ieee: 'L. M. Serino, M. Rambach, B. Brecht, J. Romero, and C. Silberhorn, “Self-guided
    tomography of time-frequency qudits,” <i>Quantum Science and Technology</i>, vol.
    10, no. 2, Art. no. 025024, 2025, doi: <a href="https://doi.org/10.1088/2058-9565/adb0ea">10.1088/2058-9565/adb0ea</a>.'
  mla: Serino, Laura Maria, et al. “Self-Guided Tomography of Time-Frequency Qudits.”
    <i>Quantum Science and Technology</i>, vol. 10, no. 2, 025024, IOP Publishing,
    2025, doi:<a href="https://doi.org/10.1088/2058-9565/adb0ea">10.1088/2058-9565/adb0ea</a>.
  short: L.M. Serino, M. Rambach, B. Brecht, J. Romero, C. Silberhorn, Quantum Science
    and Technology 10 (2025).
date_created: 2025-12-18T16:07:11Z
date_updated: 2025-12-18T16:07:35Z
department:
- _id: '15'
- _id: '623'
doi: 10.1088/2058-9565/adb0ea
intvolume: '        10'
issue: '2'
language:
- iso: eng
publication: Quantum Science and Technology
publication_identifier:
  issn:
  - 2058-9565
publication_status: published
publisher: IOP Publishing
status: public
title: Self-guided tomography of time-frequency qudits
type: journal_article
user_id: '27150'
volume: 10
year: '2025'
...
---
_id: '57089'
author:
- first_name: Stephan
  full_name: Kruse, Stephan
  id: '38254'
  last_name: Kruse
- 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
- first_name: Laura Maria
  full_name: Serino, Laura Maria
  id: '88242'
  last_name: Serino
citation:
  ama: Kruse S, Brecht B, Silberhorn C, Serino LM. Quantenoptisch-unterstütztes Sende-/Empfangssystem.
    Published online 2024.
  apa: Kruse, S., Brecht, B., Silberhorn, C., &#38; Serino, L. M. (2024). <i>Quantenoptisch-unterstütztes
    Sende-/Empfangssystem</i>.
  bibtex: '@article{Kruse_Brecht_Silberhorn_Serino_2024, title={Quantenoptisch-unterstütztes
    Sende-/Empfangssystem}, author={Kruse, Stephan and Brecht, Benjamin and Silberhorn,
    Christine and Serino, Laura Maria}, year={2024} }'
  chicago: Kruse, Stephan, Benjamin Brecht, Christine Silberhorn, and Laura Maria
    Serino. “Quantenoptisch-Unterstütztes Sende-/Empfangssystem,” 2024.
  ieee: S. Kruse, B. Brecht, C. Silberhorn, and L. M. Serino, “Quantenoptisch-unterstütztes
    Sende-/Empfangssystem.” 2024.
  mla: Kruse, Stephan, et al. <i>Quantenoptisch-Unterstütztes Sende-/Empfangssystem</i>.
    2024.
  short: S. Kruse, B. Brecht, C. Silberhorn, L.M. Serino, (2024).
date_created: 2024-11-14T16:11:10Z
date_updated: 2024-11-15T13:58:41Z
department:
- _id: '623'
- _id: '58'
ipc: G01S 7/481
ipn: 10 2023 203 697.5
publication_date: 2024-10-24
status: public
title: Quantenoptisch-unterstütztes Sende-/Empfangssystem
type: patent
user_id: '38254'
year: '2024'
...
---
_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: '63216'
abstract:
- lang: eng
  text: <jats:p>The characterization of the complex spectral amplitude, that is, the
    spectrum and spectral phase, of single-photon-level light fields is a crucial
    capability for modern photonic quantum technologies. Since established pulse characterization
    techniques are not applicable at low intensities, alternative approaches are required.
    Here, we demonstrate the retrieval of the complex spectral amplitude of single-photon-level
    light pulses through measuring their chronocyclic <jats:italic toggle="yes">Q</jats:italic> −function.
    Our approach draws inspiration from quantum state tomography by exploiting the
    analogy between quadrature phase space and time-frequency phase space. In the
    experiment, we perform time-frequency projections with a quantum pulse gate (QPG),
    which directly yield the chronocyclic <jats:italic toggle="yes">Q</jats:italic> −function.
    We evaluate the complex spectral amplitude from the measured chronocyclic <jats:italic
    toggle="yes">Q</jats:italic> −function data with maximum likelihood estimation
    (MLE), which is the established technique for quantum state tomography. The MLE
    yields not only an unambigious estimate of the complex spectral amplitude of the
    state under test that does not require any <jats:italic toggle="yes">a priori</jats:italic>
    information, but also allows for, in principle, estimating the spectral-temporal
    coherence properties of the state. Our method accurately recovers features such
    as jumps in the spectral phase and is resistant against regions with zero spectral
    intensity, which makes it immediately beneficial for classical pulse characterization
    problems.</jats:p>
article_number: '5551'
author:
- first_name: Abhinandan
  full_name: Bhattacharjee, Abhinandan
  id: '95902'
  last_name: Bhattacharjee
- first_name: Patrick Fabian
  full_name: Folge, Patrick Fabian
  id: '88605'
  last_name: Folge
- first_name: Laura Maria
  full_name: Serino, Laura Maria
  id: '88242'
  last_name: Serino
- first_name: Jaroslav
  full_name: Řeháček, Jaroslav
  last_name: Řeháček
- first_name: Zdeněk
  full_name: Hradil, Zdeněk
  last_name: Hradil
- first_name: Christine
  full_name: Silberhorn, Christine
  id: '26263'
  last_name: Silberhorn
- first_name: Benjamin
  full_name: Brecht, Benjamin
  id: '27150'
  last_name: Brecht
  orcid: '0000-0003-4140-0556 '
citation:
  ama: Bhattacharjee A, Folge PF, Serino LM, et al. Pulse characterization at the
    single-photon level through chronocyclic <i>Q</i>-function measurements. <i>Optics
    Express</i>. 2024;33(3). doi:<a href="https://doi.org/10.1364/oe.540125">10.1364/oe.540125</a>
  apa: Bhattacharjee, A., Folge, P. F., Serino, L. M., Řeháček, J., Hradil, Z., Silberhorn,
    C., &#38; Brecht, B. (2024). Pulse characterization at the single-photon level
    through chronocyclic <i>Q</i>-function measurements. <i>Optics Express</i>, <i>33</i>(3),
    Article 5551. <a href="https://doi.org/10.1364/oe.540125">https://doi.org/10.1364/oe.540125</a>
  bibtex: '@article{Bhattacharjee_Folge_Serino_Řeháček_Hradil_Silberhorn_Brecht_2024,
    title={Pulse characterization at the single-photon level through chronocyclic
    <i>Q</i>-function measurements}, volume={33}, DOI={<a href="https://doi.org/10.1364/oe.540125">10.1364/oe.540125</a>},
    number={35551}, journal={Optics Express}, publisher={Optica Publishing Group},
    author={Bhattacharjee, Abhinandan and Folge, Patrick Fabian and Serino, Laura
    Maria and Řeháček, Jaroslav and Hradil, Zdeněk and Silberhorn, Christine and Brecht,
    Benjamin}, year={2024} }'
  chicago: Bhattacharjee, Abhinandan, Patrick Fabian Folge, Laura Maria Serino, Jaroslav
    Řeháček, Zdeněk Hradil, Christine Silberhorn, and Benjamin Brecht. “Pulse Characterization
    at the Single-Photon Level through Chronocyclic <i>Q</i>-Function Measurements.”
    <i>Optics Express</i> 33, no. 3 (2024). <a href="https://doi.org/10.1364/oe.540125">https://doi.org/10.1364/oe.540125</a>.
  ieee: 'A. Bhattacharjee <i>et al.</i>, “Pulse characterization at the single-photon
    level through chronocyclic <i>Q</i>-function measurements,” <i>Optics Express</i>,
    vol. 33, no. 3, Art. no. 5551, 2024, doi: <a href="https://doi.org/10.1364/oe.540125">10.1364/oe.540125</a>.'
  mla: Bhattacharjee, Abhinandan, et al. “Pulse Characterization at the Single-Photon
    Level through Chronocyclic <i>Q</i>-Function Measurements.” <i>Optics Express</i>,
    vol. 33, no. 3, 5551, Optica Publishing Group, 2024, doi:<a href="https://doi.org/10.1364/oe.540125">10.1364/oe.540125</a>.
  short: A. Bhattacharjee, P.F. Folge, L.M. Serino, J. Řeháček, Z. Hradil, C. Silberhorn,
    B. Brecht, Optics Express 33 (2024).
date_created: 2025-12-18T16:08:16Z
date_updated: 2025-12-18T16:08:40Z
department:
- _id: '15'
- _id: '623'
doi: 10.1364/oe.540125
intvolume: '        33'
issue: '3'
language:
- iso: eng
publication: Optics Express
publication_identifier:
  issn:
  - 1094-4087
publication_status: published
publisher: Optica Publishing Group
status: public
title: Pulse characterization at the single-photon level through chronocyclic <i>Q</i>-function
  measurements
type: journal_article
user_id: '27150'
volume: 33
year: '2024'
...
---
_id: '63217'
abstract:
- lang: eng
  text: <jats:p>We demonstrate a high-dimensional mode-sorter for single photons based
    on a multi-output quantum pulse gate, which we can program to switch between different
    temporal-mode encodings including pulse modes, frequency bins, time bins, and
    their superpositions. This device can facilitate practical realizations of quantum
    information applications such as high-dimensional quantum key distribution and
    thus enables secure communication with enhanced information capacity. We characterize
    the mode-sorter through a detector tomography in 3 and 5 dimensions and find a
    fidelity up to 0.958 ± 0.030 at the single-photon level.</jats:p>
article_number: '5577'
author:
- first_name: Laura Maria
  full_name: Serino, Laura Maria
  id: '88242'
  last_name: Serino
- first_name: Christof
  full_name: Eigner, Christof
  id: '13244'
  last_name: Eigner
  orcid: https://orcid.org/0000-0002-5693-3083
- 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 LM, Eigner C, Brecht B, Silberhorn C. Programmable time-frequency mode-sorting
    of single photons with a multi-output quantum pulse gate. <i>Optics Express</i>.
    2024;33(3). doi:<a href="https://doi.org/10.1364/oe.544206">10.1364/oe.544206</a>
  apa: Serino, L. M., Eigner, C., Brecht, B., &#38; Silberhorn, C. (2024). Programmable
    time-frequency mode-sorting of single photons with a multi-output quantum pulse
    gate. <i>Optics Express</i>, <i>33</i>(3), Article 5577. <a href="https://doi.org/10.1364/oe.544206">https://doi.org/10.1364/oe.544206</a>
  bibtex: '@article{Serino_Eigner_Brecht_Silberhorn_2024, title={Programmable time-frequency
    mode-sorting of single photons with a multi-output quantum pulse gate}, volume={33},
    DOI={<a href="https://doi.org/10.1364/oe.544206">10.1364/oe.544206</a>}, number={35577},
    journal={Optics Express}, publisher={Optica Publishing Group}, author={Serino,
    Laura Maria and Eigner, Christof and Brecht, Benjamin and Silberhorn, Christine},
    year={2024} }'
  chicago: Serino, Laura Maria, Christof Eigner, Benjamin Brecht, and Christine Silberhorn.
    “Programmable Time-Frequency Mode-Sorting of Single Photons with a Multi-Output
    Quantum Pulse Gate.” <i>Optics Express</i> 33, no. 3 (2024). <a href="https://doi.org/10.1364/oe.544206">https://doi.org/10.1364/oe.544206</a>.
  ieee: 'L. M. Serino, C. Eigner, B. Brecht, and C. Silberhorn, “Programmable time-frequency
    mode-sorting of single photons with a multi-output quantum pulse gate,” <i>Optics
    Express</i>, vol. 33, no. 3, Art. no. 5577, 2024, doi: <a href="https://doi.org/10.1364/oe.544206">10.1364/oe.544206</a>.'
  mla: Serino, Laura Maria, et al. “Programmable Time-Frequency Mode-Sorting of Single
    Photons with a Multi-Output Quantum Pulse Gate.” <i>Optics Express</i>, vol. 33,
    no. 3, 5577, Optica Publishing Group, 2024, doi:<a href="https://doi.org/10.1364/oe.544206">10.1364/oe.544206</a>.
  short: L.M. Serino, C. Eigner, B. Brecht, C. Silberhorn, Optics Express 33 (2024).
date_created: 2025-12-18T16:09:22Z
date_updated: 2025-12-18T16:09:44Z
department:
- _id: '15'
- _id: '623'
doi: 10.1364/oe.544206
intvolume: '        33'
issue: '3'
language:
- iso: eng
publication: Optics Express
publication_identifier:
  issn:
  - 1094-4087
publication_status: published
publisher: Optica Publishing Group
status: public
title: Programmable time-frequency mode-sorting of single photons with a multi-output
  quantum pulse gate
type: journal_article
user_id: '27150'
volume: 33
year: '2024'
...
---
_id: '45485'
author:
- first_name: Stephan
  full_name: Kruse, Stephan
  id: '38254'
  last_name: Kruse
- first_name: Laura
  full_name: Serino, Laura
  id: '88242'
  last_name: Serino
- first_name: Patrick Fabian
  full_name: Folge, Patrick Fabian
  id: '88605'
  last_name: Folge
- first_name: Dana
  full_name: Echeverria Oviedo, Dana
  last_name: Echeverria Oviedo
- first_name: Abhinandan
  full_name: Bhattacharjee, Abhinandan
  last_name: Bhattacharjee
- first_name: Michael
  full_name: Stefszky, Michael
  id: '42777'
  last_name: Stefszky
- first_name: J. Christoph
  full_name: Scheytt, J. Christoph
  id: '37144'
  last_name: Scheytt
  orcid: '0000-0002-5950-6618 '
- 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: Kruse S, Serino L, Folge PF, et al. A Pulsed Lidar System With Ultimate Quantum
    Range Accuracy. <i>IEEE Photonics Technology Letters</i>. 2023;35(14):769-772.
    doi:<a href="https://doi.org/10.1109/lpt.2023.3277515">10.1109/lpt.2023.3277515</a>
  apa: Kruse, S., Serino, L., Folge, P. F., Echeverria Oviedo, D., Bhattacharjee,
    A., Stefszky, M., Scheytt, J. C., Brecht, B., &#38; Silberhorn, C. (2023). A Pulsed
    Lidar System With Ultimate Quantum Range Accuracy. <i>IEEE Photonics Technology
    Letters</i>, <i>35</i>(14), 769–772. <a href="https://doi.org/10.1109/lpt.2023.3277515">https://doi.org/10.1109/lpt.2023.3277515</a>
  bibtex: '@article{Kruse_Serino_Folge_Echeverria Oviedo_Bhattacharjee_Stefszky_Scheytt_Brecht_Silberhorn_2023,
    title={A Pulsed Lidar System With Ultimate Quantum Range Accuracy}, volume={35},
    DOI={<a href="https://doi.org/10.1109/lpt.2023.3277515">10.1109/lpt.2023.3277515</a>},
    number={14}, journal={IEEE Photonics Technology Letters}, publisher={Institute
    of Electrical and Electronics Engineers (IEEE)}, author={Kruse, Stephan and Serino,
    Laura and Folge, Patrick Fabian and Echeverria Oviedo, Dana and Bhattacharjee,
    Abhinandan and Stefszky, Michael and Scheytt, J. Christoph and Brecht, Benjamin
    and Silberhorn, Christine}, year={2023}, pages={769–772} }'
  chicago: 'Kruse, Stephan, Laura Serino, Patrick Fabian Folge, Dana Echeverria Oviedo,
    Abhinandan Bhattacharjee, Michael Stefszky, J. Christoph Scheytt, Benjamin Brecht,
    and Christine Silberhorn. “A Pulsed Lidar System With Ultimate Quantum Range Accuracy.”
    <i>IEEE Photonics Technology Letters</i> 35, no. 14 (2023): 769–72. <a href="https://doi.org/10.1109/lpt.2023.3277515">https://doi.org/10.1109/lpt.2023.3277515</a>.'
  ieee: 'S. Kruse <i>et al.</i>, “A Pulsed Lidar System With Ultimate Quantum Range
    Accuracy,” <i>IEEE Photonics Technology Letters</i>, vol. 35, no. 14, pp. 769–772,
    2023, doi: <a href="https://doi.org/10.1109/lpt.2023.3277515">10.1109/lpt.2023.3277515</a>.'
  mla: Kruse, Stephan, et al. “A Pulsed Lidar System With Ultimate Quantum Range Accuracy.”
    <i>IEEE Photonics Technology Letters</i>, vol. 35, no. 14, Institute of Electrical
    and Electronics Engineers (IEEE), 2023, pp. 769–72, doi:<a href="https://doi.org/10.1109/lpt.2023.3277515">10.1109/lpt.2023.3277515</a>.
  short: S. Kruse, L. Serino, P.F. Folge, D. Echeverria Oviedo, A. Bhattacharjee,
    M. Stefszky, J.C. Scheytt, B. Brecht, C. Silberhorn, IEEE Photonics Technology
    Letters 35 (2023) 769–772.
date_created: 2023-06-06T10:09:05Z
date_updated: 2023-06-06T10:13:05Z
department:
- _id: '15'
- _id: '58'
- _id: '623'
- _id: '230'
- _id: '288'
doi: 10.1109/lpt.2023.3277515
intvolume: '        35'
issue: '14'
keyword:
- Electrical and Electronic Engineering
- Atomic and Molecular Physics
- and Optics
- Electronic
- Optical and Magnetic Materials
language:
- iso: eng
page: 769-772
publication: IEEE Photonics Technology Letters
publication_identifier:
  issn:
  - 1041-1135
  - 1941-0174
publication_status: published
publisher: Institute of Electrical and Electronics Engineers (IEEE)
status: public
title: A Pulsed Lidar System With Ultimate Quantum Range Accuracy
type: journal_article
user_id: '27150'
volume: 35
year: '2023'
...
---
_id: '44081'
article_number: '020306'
author:
- first_name: Laura
  full_name: Serino, Laura
  id: '88242'
  last_name: Serino
- first_name: Jano
  full_name: Gil López, Jano
  id: '51223'
  last_name: Gil López
- first_name: Michael
  full_name: Stefszky, Michael
  id: '42777'
  last_name: Stefszky
- first_name: Raimund
  full_name: Ricken, Raimund
  last_name: Ricken
- first_name: Christof
  full_name: Eigner, Christof
  id: '13244'
  last_name: Eigner
  orcid: https://orcid.org/0000-0002-5693-3083
- 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, Gil López J, Stefszky M, et al. Realization of a Multi-Output Quantum
    Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States.
    <i>PRX Quantum</i>. 2023;4(2). doi:<a href="https://doi.org/10.1103/prxquantum.4.020306">10.1103/prxquantum.4.020306</a>
  apa: Serino, L., Gil López, J., Stefszky, M., Ricken, R., Eigner, C., Brecht, B.,
    &#38; Silberhorn, C. (2023). Realization of a Multi-Output Quantum Pulse Gate
    for Decoding High-Dimensional Temporal Modes of Single-Photon States. <i>PRX Quantum</i>,
    <i>4</i>(2), Article 020306. <a href="https://doi.org/10.1103/prxquantum.4.020306">https://doi.org/10.1103/prxquantum.4.020306</a>
  bibtex: '@article{Serino_Gil López_Stefszky_Ricken_Eigner_Brecht_Silberhorn_2023,
    title={Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional
    Temporal Modes of Single-Photon States}, volume={4}, DOI={<a href="https://doi.org/10.1103/prxquantum.4.020306">10.1103/prxquantum.4.020306</a>},
    number={2020306}, journal={PRX Quantum}, publisher={American Physical Society
    (APS)}, author={Serino, Laura and Gil López, Jano and Stefszky, Michael and Ricken,
    Raimund and Eigner, Christof and Brecht, Benjamin and Silberhorn, Christine},
    year={2023} }'
  chicago: Serino, Laura, Jano Gil López, Michael Stefszky, Raimund Ricken, Christof
    Eigner, Benjamin Brecht, and Christine Silberhorn. “Realization of a Multi-Output
    Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon
    States.” <i>PRX Quantum</i> 4, no. 2 (2023). <a href="https://doi.org/10.1103/prxquantum.4.020306">https://doi.org/10.1103/prxquantum.4.020306</a>.
  ieee: 'L. Serino <i>et al.</i>, “Realization of a Multi-Output Quantum Pulse Gate
    for Decoding High-Dimensional Temporal Modes of Single-Photon States,” <i>PRX
    Quantum</i>, vol. 4, no. 2, Art. no. 020306, 2023, doi: <a href="https://doi.org/10.1103/prxquantum.4.020306">10.1103/prxquantum.4.020306</a>.'
  mla: Serino, Laura, et al. “Realization of a Multi-Output Quantum Pulse Gate for
    Decoding High-Dimensional Temporal Modes of Single-Photon States.” <i>PRX Quantum</i>,
    vol. 4, no. 2, 020306, American Physical Society (APS), 2023, doi:<a href="https://doi.org/10.1103/prxquantum.4.020306">10.1103/prxquantum.4.020306</a>.
  short: L. Serino, J. Gil López, M. Stefszky, R. Ricken, C. Eigner, B. Brecht, C.
    Silberhorn, PRX Quantum 4 (2023).
date_created: 2023-04-20T12:38:23Z
date_updated: 2025-12-18T16:15:18Z
department:
- _id: '288'
- _id: '623'
- _id: '15'
doi: 10.1103/prxquantum.4.020306
intvolume: '         4'
issue: '2'
keyword:
- General Physics and Astronomy
- Mathematical Physics
- Applied Mathematics
- Electronic
- Optical and Magnetic Materials
- Electrical and Electronic Engineering
- General Computer Science
language:
- iso: eng
publication: PRX Quantum
publication_identifier:
  issn:
  - 2691-3399
publication_status: published
publisher: American Physical Society (APS)
status: public
title: Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional
  Temporal Modes of Single-Photon States
type: journal_article
user_id: '27150'
volume: 4
year: '2023'
...
