@article{54812,
  author       = {{Weinbrenner, Lisa T. and Prasannan, Nidhin and Hansenne, Kiara and Denker, Sophia and Sperling, Jan and Brecht, Benjamin and Silberhorn, Christine and Gühne, Otfried}},
  issn         = {{0031-9007}},
  journal      = {{Physical Review Letters}},
  number       = {{24}},
  publisher    = {{American Physical Society (APS)}},
  title        = {{{Certifying the Topology of Quantum Networks: Theory and Experiment}}},
  doi          = {{10.1103/physrevlett.132.240802}},
  volume       = {{132}},
  year         = {{2024}},
}

@article{63219,
  abstract     = {{<jats:p>We introduce the framework of Bayesian relative belief that directly evaluates whether or not the experimental data at hand support a given hypothesis regarding a quantum system by directly comparing the prior and posterior probabilities for the hypothesis. In model-dimension certification tasks, we show that the relative-belief procedure typically chooses Hilbert spaces that are never smaller in dimension than those selected from optimizing a broad class of information criteria, including Akaike's criterion. As a concrete and focused exposition of this powerful evidence-based technique, we apply the relative-belief procedure to an important application: . In particular, just by comparing prior and posterior probabilities based on data, we demonstrate its capability of tracking multiphoton emissions using (realistically lossy) single-photon detectors in order to assess the actual quality of photon sources without making  assumptions, thereby reliably safeguarding source integrity for general quantum-information and communication tasks with Bayesian reasoning. Finally, we discuss how relative belief can be exploited to carry out parametric model certification and estimate the total dimension of the quantum state for the combined (measured) physical and interacting external systems described by the Tavis-Cummings model.</jats:p>
          <jats:sec>
            <jats:title/>
            <jats:supplementary-material>
              <jats:permissions>
                <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement>
                <jats:copyright-year>2024</jats:copyright-year>
              </jats:permissions>
            </jats:supplementary-material>
          </jats:sec>}},
  author       = {{Teo, Y. S. and Shringarpure, S. U. and Jeong, H. and Prasannan, Nidhin and Brecht, Benjamin and Silberhorn, Christine and Evans, M. and Mogilevtsev, D. and Sánchez-Soto, L. L.}},
  issn         = {{2469-9926}},
  journal      = {{Physical Review A}},
  number       = {{1}},
  publisher    = {{American Physical Society (APS)}},
  title        = {{{Relative-belief inference in quantum information theory}}},
  doi          = {{10.1103/physreva.110.012231}},
  volume       = {{110}},
  year         = {{2024}},
}

@article{63220,
  abstract     = {{<jats:p>Identifying a reasonably small Hilbert space that completely describes an unknown quantum state is crucial for efficient quantum information processing. We introduce a general dimension-certification protocol for both discrete and continuous variables that is fully evidence based, relying solely on the experimental data collected and no other unjustified assumptions whatsoever. Using the Bayesian concept of relative belief, we take the effective dimension of the state as the smallest one such that the posterior probability is larger than the prior, as dictated by the data. The posterior probabilities associated with the relative-belief ratios measure the strength of the evidence provide by these ratios so that we can assess whether there is weak or strong evidence in favor or against a particular dimension. Using experimental data from spectral-temporal and polarimetry measurements, we demonstrate how to correctly assign Bayesian plausible error bars for the obtained effective dimensions. This makes relative belief a conservative and easy-to-use model-selection method for any experiment.</jats:p>
          <jats:sec>
            <jats:title/>
            <jats:supplementary-material>
              <jats:permissions>
                <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement>
                <jats:copyright-year>2024</jats:copyright-year>
              </jats:permissions>
            </jats:supplementary-material>
          </jats:sec>}},
  author       = {{Teo, Y. S. and Shringarpure, S. U. and Jeong, H. and Prasannan, Nidhin and Brecht, Benjamin and Silberhorn, Christine and Evans, M. and Mogilevtsev, D. and Sánchez-Soto, L. L.}},
  issn         = {{0031-9007}},
  journal      = {{Physical Review Letters}},
  number       = {{5}},
  publisher    = {{American Physical Society (APS)}},
  title        = {{{Evidence-Based Certification of Quantum Dimensions}}},
  doi          = {{10.1103/physrevlett.133.050204}},
  volume       = {{133}},
  year         = {{2024}},
}

@article{39025,
  author       = {{Meyer-Scott, Evan and Prasannan, Nidhin and Dhand, Ish and Eigner, Christof and Quiring, Viktor and Barkhofen, Sonja and Brecht, Benjamin and Plenio, Martin B. and Silberhorn, Christine}},
  issn         = {{0031-9007}},
  journal      = {{Physical Review Letters}},
  keywords     = {{General Physics and Astronomy}},
  number       = {{15}},
  publisher    = {{American Physical Society (APS)}},
  title        = {{{Scalable Generation of Multiphoton Entangled States by Active Feed-Forward and Multiplexing}}},
  doi          = {{10.1103/physrevlett.129.150501}},
  volume       = {{129}},
  year         = {{2022}},
}

@article{40273,
  author       = {{Meyer-Scott, Evan and Prasannan, Nidhin and Dhand, Ish and Eigner, Christof and Quiring, Viktor and Barkhofen, Sonja and Brecht, Benjamin and Plenio, Martin B. and Silberhorn, Christine}},
  issn         = {{0031-9007}},
  journal      = {{Physical Review Letters}},
  keywords     = {{General Physics and Astronomy}},
  number       = {{15}},
  publisher    = {{American Physical Society (APS)}},
  title        = {{{Scalable Generation of Multiphoton Entangled States by Active Feed-Forward and Multiplexing}}},
  doi          = {{10.1103/physrevlett.129.150501}},
  volume       = {{129}},
  year         = {{2022}},
}

@article{34884,
  author       = {{Prasannan, Nidhin and Sperling, Jan and Brecht, Benjamin and Silberhorn, Christine}},
  issn         = {{0031-9007}},
  journal      = {{Physical Review Letters}},
  keywords     = {{General Physics and Astronomy}},
  number       = {{26}},
  publisher    = {{American Physical Society (APS)}},
  title        = {{{Direct Measurement of Higher-Order Nonlinear Polarization Squeezing}}},
  doi          = {{10.1103/physrevlett.129.263601}},
  volume       = {{129}},
  year         = {{2022}},
}

@article{26286,
  author       = {{Prasannan, Nidhin and De, Syamsundar and Barkhofen, Sonja and Brecht, Benjamin and Silberhorn, Christine and Sperling, Jan}},
  issn         = {{2469-9926}},
  journal      = {{Physical Review A}},
  title        = {{{Experimental entanglement characterization of two-rebit states}}},
  doi          = {{10.1103/physreva.103.l040402}},
  volume       = {{103}},
  year         = {{2021}},
}

@inproceedings{9635,
  author       = {{Meyer-Scott, Evan and Prasannan, Nidhin and Montaut, Nicola and Tiedau, Johannes and Eigner, Christof and Harder, Georg and Sansoni, Linda and Nitsche, Thomas and Herrmann, Harald and Ricken, Raimund and Quiring, Viktor and Bartley, Tim and Barkhofen, Sonja and Silberhorn, Christine}},
  booktitle    = {{Advances in Photonics of Quantum Computing, Memory, and Communication XII}},
  editor       = {{Hasan, Zameer U. and Hemmer, Philip R. and Migdall, Alan L.}},
  isbn         = {{9781510625082}},
  title        = {{{Engineering integrated photon pair sources and multiplexed detectors (Conference Presentation)}}},
  doi          = {{10.1117/12.2513753}},
  year         = {{2019}},
}

@inproceedings{9677,
  author       = {{Meyer-Scott, Evan and Prasannan, Nidhin and Montaut, Nicola and Tiedau, Johannes and Harder, Georg and Sansoni, Linda and Herrmann, Harald and Eigner, Christof and Ricken, Raimund and Quiring, Viktor and Bartley, Tim and Barkhofen, Sonja and Silberhorn, Christine}},
  booktitle    = {{Frontiers in Optics / Laser Science}},
  isbn         = {{9781943580460}},
  title        = {{{Engineering integrated sources of entangled photon pairs}}},
  doi          = {{10.1364/ls.2018.lm3b.1}},
  year         = {{2018}},
}

@article{9638,
  author       = {{Meyer-Scott, Evan and Prasannan, Nidhin and Eigner, Christof and Quiring, Viktor and Donohue, John M. and Barkhofen, Sonja and Silberhorn, Christine}},
  issn         = {{1094-4087}},
  journal      = {{Optics Express}},
  title        = {{{High-performance source of spectrally pure, polarization entangled photon pairs based on hybrid integrated-bulk optics}}},
  doi          = {{10.1364/oe.26.032475}},
  year         = {{2018}},
}

