@article{65574,
  author       = {{Pinske, Julien and Sperling, Jan and Mølmer, Klaus}},
  issn         = {{2469-9926}},
  journal      = {{Physical Review A}},
  number       = {{5}},
  publisher    = {{American Physical Society (APS)}},
  title        = {{{Entangling power of nonentangling channels}}},
  doi          = {{10.1103/vy93-dnc8}},
  volume       = {{113}},
  year         = {{2026}},
}

@inbook{65521,
  abstract     = {{We present recent progress made towards ultra-broadband photonically assisted analog-to-digital converters, that leverage both the low jitter of best-of-class mode-locked lasers as well as the capability of optics to break down broadband signals into multiple lower speed tributaries that can be better handled by electronics. We review in particular our work on both time- and frequency-domain approaches and give an outlook on how these architectures can be extended to include further signal processing tasks such as equalization. Optically triggered track-and-hold amplifiers are reported with an equivalent jitter below 80 fs rms in a signal frequency range from 20 GHz to 70 GHz. Frequency-domain architectures implementing optical arbitrary waveform measurement up to signal bandwidths of 610 GHz are also shown. Finally, an architecture allowing the deserialization and equalization of PAM4 signals is introduced and modeled for operation in 400 Gb/s links.}},
  author       = {{Witzens, Jeremy and Drayss, Daniel and Fang, Dengyang and Moscoso Mártir, Alvaro and Müller, Juliana and Weizel, Maxim and Zazzi, Andrea and Freude, Wolfgang and Koos, Christian and Randel, Sebastian and Scheytt, J. Christoph}},
  booktitle    = {{Electronic-Photonic Integrated Systems for Ultrafast Signal Processing}},
  editor       = {{Scheytt, J. Christoph and Kress, Christian and Berroth, Manfred and Pachnicke, Stephan and Witzens, Jeremy}},
  isbn         = {{9783032083395}},
  publisher    = {{Springer Nature Switzerland}},
  title        = {{{Ultra-Broadband Photonically Assisted Analog-to-Digital-Converters}}},
  doi          = {{10.1007/978-3-032-08340-1_3}},
  year         = {{2026}},
}

@inproceedings{57866,
  abstract     = {{The theory of Total Function NP (TFNP) and its subclasses says that, even if
one is promised an efficiently verifiable proof exists for a problem, finding
this proof can be intractable. Despite the success of the theory at showing
intractability of problems such as computing Brouwer fixed points and Nash
equilibria, subclasses of TFNP remain arguably few and far between. In this
work, we define two new subclasses of TFNP borne of the study of complex
polynomial systems: Multi-homogeneous Systems (MHS) and Sparse Fundamental
Theorem of Algebra (SFTA). The first of these is based on B\'ezout's theorem
from algebraic geometry, marking the first TFNP subclass based on an algebraic
geometric principle. At the heart of our study is the computational problem
known as Quantum SAT (QSAT) with a System of Distinct Representatives (SDR),
first studied by [Laumann, L\"auchli, Moessner, Scardicchio, and Sondhi 2010].
Among other results, we show that QSAT with SDR is MHS-complete, thus giving
not only the first link between quantum complexity theory and TFNP, but also
the first TFNP problem whose classical variant (SAT with SDR) is easy but whose
quantum variant is hard. We also show how to embed the roots of a sparse,
high-degree, univariate polynomial into QSAT with SDR, obtaining that SFTA is
contained in a zero-error version of MHS. We conjecture this construction also
works in the low-error setting, which would imply SFTA is contained in MHS.}},
  author       = {{Aldi, Marco and Gharibian, Sevag and Rudolph, Dorian}},
  booktitle    = {{17th Innovations in Theoretical Computer Science Conference (ITCS 2026)}},
  pages        = {{7:1--7:24}},
  title        = {{{An unholy trinity: TFNP, polynomial systems, and the quantum  satisfiability problem}}},
  volume       = {{362}},
  year         = {{2026}},
}

@article{65655,
  abstract     = {{A functionalization-free plasmonic nanogap platform enables reliable on-site SERS based oxidation-state differentiation of arsenic through uniform metal-vacuum-metal cavities with high electromagnetic enhancement and minimal background interference.}},
  author       = {{Kim, Minjun and Heo, Damun and Cho, Sung Yoon and Lee, Ye-Won and Gu, Sun-Hwa and Adhikari, Samir and Lee, Donghan and Jeong, Seok Soon and Kim, Hyuck Soo and Devaraj, Vasanthan and Zentgraf, Thomas and Jeon, Min Yong and Lee, Jong-Min}},
  issn         = {{2040-3364}},
  journal      = {{Nanoscale}},
  number       = {{8}},
  pages        = {{4292--4299}},
  publisher    = {{Royal Society of Chemistry (RSC)}},
  title        = {{{A functionalization-free plasmonic hole-sphere nanogap SERS platform for reliable on-site analysis and oxide-state classification}}},
  doi          = {{10.1039/d5nr03414k}},
  volume       = {{18}},
  year         = {{2026}},
}

@inbook{65749,
  abstract     = {{<jats:title>Abstract</jats:title>
                  <jats:p>Phase noise is one of the most important properties of oscillators that limit the capacity of high-frequency communication systems. In heterodyne conversion schemes, the phase noise of the local oscillator will be multiplied and up-converted to the transmission channel. Therefore, accurate characterization of the oscillators is highly important for the design of THz communication systems. Especially when it comes to the characterization of high-quality oscillators with extremely low phase noise, traceable measurement methods are not available.</jats:p>
                  <jats:p>In this chapter, the mathematical model and definition of the amplitude noise (AM noise) and phase noise (PM noise) are given. Different phase noise definition standards such as single sideband (SSB) and double sideband will also be provided. Phase noise measurement techniques such as frequency discrimination and phase-locked loop (PLL) technique will be discussed. The standard two-channel cross correlation for statistical analysis of phase noise at levels below the detection limit of the phase noise receiver will be explained with mathematical formalism.</jats:p>}},
  author       = {{Bahmanian, Meysam and Scheytt, J. Christoph and Meyne, Nora and Kleine-Ostmann, Thomas}},
  booktitle    = {{Springer Series in Optical Sciences}},
  isbn         = {{9783032019851}},
  issn         = {{0342-4111}},
  publisher    = {{Springer Nature Switzerland}},
  title        = {{{Phase Noise Metrology}}},
  doi          = {{10.1007/978-3-032-01986-8_4}},
  year         = {{2026}},
}

@inbook{65748,
  abstract     = {{<jats:title>Abstract</jats:title>
                  <jats:p>In this chapter, the precision of optical clocks based on mode-locked laser (MLL) is compared with more conventional types of clock sources. It is shown that the phase noise of the optical pulse train from the MLL can be better than other types of clock sources by orders of magnitude. Then, an abstract representation of frequency synthesizer is demonstrated. Different techniques for RF generation using MLL are shown, and their pros and cons are discussed. Finally, a comparison of all these techniques is made with respect to their phase noise and capability to generate RF signal with different frequencies for different applications.</jats:p>}},
  author       = {{Bahmanian, Meysam and Scheytt, J. Christoph}},
  booktitle    = {{Springer Series in Optical Sciences}},
  isbn         = {{9783032019851}},
  issn         = {{0342-4111}},
  publisher    = {{Springer Nature Switzerland}},
  title        = {{{Frequency Synthesis Based on MLLs}}},
  doi          = {{10.1007/978-3-032-01986-8_28}},
  year         = {{2026}},
}

@article{65777,
  abstract     = {{<jats:title>Abstract</jats:title>
                  <jats:p>In this work, we address the numerical identification of entanglement in dynamical scenarios. To this end, we consider different programs based on the restriction of the evolution to the set of separable (i.e., non-entangled) states, together with the discretization of the space of variables for numerical computations. As a first approach, we apply linear splitting methods to the restricted, continuous equations of motion derived from variational principles. We utilize an exchange interaction Hamiltonian to confirm that the numerical and analytical solutions coincide in the limit of small time steps. The application to different Hamiltonians shows the wide applicability of the method to detect dynamical entanglement. To avoid the derivation of analytical solutions for complex dynamics, we consider variational, numerical integration schemes, introducing a variational discretization for Lagrangians linear in velocities. Here, we examine and compare two approaches: one in which the system is discretized before the restriction is applied, and another in which the restriction precedes the discretization. We find that the ‘first-discretize-then-restrict’ method becomes numerically unstable, already for the example of an exchange-interaction Hamiltonian, which can be an important consideration for the numerical analysis of constrained quantum dynamics. Thereby, broadly applicable numerical tools, including their limitations, for studying entanglement over time are established for assessing the entangling power of processes that are used in quantum information theory.</jats:p>}},
  author       = {{Offen, Christian and Wembe Moafo, Boris Edgar and Ares, Laura and Sperling, Jan and Ober-Blöbaum, Sina}},
  issn         = {{1751-8113}},
  journal      = {{Journal of Physics A: Mathematical and Theoretical}},
  number       = {{22}},
  publisher    = {{IOP Publishing}},
  title        = {{{Numerical approaches to entangling dynamics from variational principles}}},
  doi          = {{10.1088/1751-8121/ae6d51}},
  volume       = {{59}},
  year         = {{2026}},
}

@article{65847,
  abstract     = {{Simulating vibronic spectra is a central task in physical chemistry, offering insight into important properties of molecules. Recently, it has been experimentally demonstrated that photonic platforms based on Gaussian boson sampling (GBS) are capable of performing these simulations. However, whether an actual GBS approach is required depends on the molecule under investigation. To develop a better understanding on the requirements for simulating vibronic spectra, we explore connections between theoretical approximations in physical chemistry and their photonic counterparts. Mapping these approximations into photonics, we show that for certain molecules the GBS approach is unnecessary. We place special emphasis on the linear coupling approximation, which in photonics corresponds to sampling from multiple coherent states. By implementing this approach in experiments, we demonstrate improved similarities over previously reported GBS results for formic acid and identify the particular attributes that a molecule must exhibit for this, and other approximations, to be valid. These results highlight the importance in forming deeper connections between traditional methods and photonic approaches.}},
  author       = {{Eickmann, Jan-Lucas and Luo, Kai-Hong and Roiz, Mikhail and Lammers, Jonas and Atzeni, Simone and Pandey, Cheeranjiv and Lütkewitte, Florian and Shirazi, Reza G. and Schlue, Fabian and Brecht, Benjamin and Rybkin, Vladimir V. and Stefszky, Michael and Silberhorn, Christine}},
  issn         = {{2056-6387}},
  journal      = {{npj Quantum Information}},
  number       = {{1}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Bridging chemistry and Gaussian boson sampling: a photonic hierarchy of approximations for molecular vibronic spectra}}},
  doi          = {{10.1038/s41534-026-01250-x}},
  volume       = {{12}},
  year         = {{2026}},
}

@inproceedings{65906,
  author       = {{Jin, Xiao and Zentgraf, Thomas}},
  booktitle    = {{Metamaterials XV}},
  editor       = {{MacDonald, Kevin F. and Zayats, Anatoly V. and Staude, Isabelle}},
  location     = {{Strasbourg, France}},
  publisher    = {{SPIE}},
  title        = {{{OAM-multiplexed holography via cascaded metasurfaces without post sampling and position multiplexing}}},
  doi          = {{10.1117/12.3096579}},
  volume       = {{14075}},
  year         = {{2026}},
}

@inproceedings{56950,
  abstract     = {{After nearly two decades of research, the question of a quantum PCP theorem
for quantum Constraint Satisfaction Problems (CSPs) remains wide open. As a
result, proving QMA-hardness of approximation for ground state energy
estimation has remained elusive. Recently, it was shown [Bittel, Gharibian,
Kliesch, CCC 2023] that a natural problem involving variational quantum
circuits is QCMA-hard to approximate within ratio N^(1-eps) for any eps > 0 and
N the input size. Unfortunately, this problem was not related to quantum CSPs,
leaving the question of hardness of approximation for quantum CSPs open. In
this work, we show that if instead of focusing on ground state energies, one
considers computing properties of the ground space, QCMA-hardness of computing
ground space properties can be shown. In particular, we show that it is (1)
QCMA-complete within ratio N^(1-eps) to approximate the Ground State
Connectivity problem (GSCON), and (2) QCMA-hard within the same ratio to
estimate the amount of entanglement of a local Hamiltonian's ground state,
denoted Ground State Entanglement (GSE). As a bonus, a simplification of our
construction yields NP-completeness of approximation for a natural k-SAT
reconfiguration problem, to be contrasted with the recent PCP-based PSPACE
hardness of approximation results for a different definition of k-SAT
reconfiguration [Karthik C.S. and Manurangsi, 2023, and Hirahara, Ohsaka, STOC
2024].}},
  author       = {{Gharibian, Sevag and Hecht, Carsten}},
  booktitle    = {{51st International Symposium on Mathematical Foundations of Computer Science (MFCS)}},
  title        = {{{Hardness of approximation for ground state problems}}},
  year         = {{2026}},
}

@article{66555,
  abstract     = {{Scalable plasmonic technologies face a critical trade‐off: few‐body architectures offer high enhancement but are sensitive to fabrication flaws, while scalable methods like solid‐state dewetting yield large, low‐enhancement gaps. We introduce a paradigm shift using a many‐body plasmonic architecture inspired by statistical mechanics. By moving toward the continuum limit, local geometric variations are statistically averaged out, effectively decoupling optical performance from microscopic disorder. We implement this concept via a lithography‐ and etching‐free, multi‐step dewetting strategy, creating wafer‐scale nanoclusters. This process strategically forms a robust many‐body system by introducing numerous small satellite nanoparticles between larger particles. Crucially, this design achieves a high collective enhancement that surpasses even optimized few‐body systems, despite having larger individual gaps. Under optimized conditions, these substrates exhibit a surface‐enhanced Raman scattering enhancement factor approaching 4 × 10^8 with unprecedented reproducibility (RSD of ∼10%). This scalable, low‐cost concept establishes a practical route toward reproducible wafer‐scale nanophotonic platforms for sensing, spectroscopy, and quantum technologies.}},
  author       = {{Kim, Minjun and Devaraj, Vasanthan and Seo, Hyeon‐Seok and Eom, Seong‐Jae and Lee, Jeong‐Su and Lee, Donghan and Jeon, Min Yong and Zentgraf, Thomas and Lee, Jong‐Min}},
  issn         = {{1863-8880}},
  journal      = {{Laser &amp; Photonics Reviews}},
  publisher    = {{Wiley}},
  title        = {{{Engineering Disordered Many‐Particle Plasmonic Nanoclusters for Wafer‐Scale Uniform and Giant Electromagnetic Field Enhancement}}},
  doi          = {{10.1002/lpor.71610}},
  year         = {{2026}},
}

@article{66583,
  abstract     = {{We introduce a method for determining the sensitivity of any given entangled two-photon absorption (ETPA) measurement. By modeling all signal and noise contributions to the measurement, we derive a single numerical value that describes the sensitivity of the ETPA measurement in Göppert-Mayer units. This allows us to directly compare vastly different experimental approaches and determine whether ETPA will be detectable under the given conditions. Therefore we can quantify the effect of any change to a given experimental apparatus and identify the ideal optimization pathway.}},
  author       = {{Pollmann, René and Roeder, Franz and Silberhorn, Christine and Brecht, Benjamin}},
  issn         = {{2469-9926}},
  journal      = {{Physical Review A}},
  number       = {{1}},
  publisher    = {{American Physical Society (APS)}},
  title        = {{{Limitations of entangled two-photon absorption detection}}},
  doi          = {{10.1103/qpb1-hk5l}},
  volume       = {{114}},
  year         = {{2026}},
}

@article{66640,
  abstract     = {{<jats:p>
                    We develop a framework for identifying nonclassical speedups in systems with polarization, likewise spin degrees of freedom. By confining the dynamics to the manifold of angular momentum coherent states, which act as the classical reference in this case, we compute the speed limit that bounds the rate of change of the state achievable without generating quantum coherence. A comparison with the unrestricted quantum speed limit enables the quantitative identification of speedups arising from polarization nonclassicality. We apply this framework to the cross-Kerr interaction, demonstrating a persistent speedup scaling as
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                    , with a parity effect in favor of even photon numbers. The results establish polarization nonclassicality as a genuine dynamical resource, linking quantum coherence to quantum-enhanced evolution speeds in nonlinear photonic systems.
                  </jats:p>}},
  author       = {{Aßbrock, Tim and Sperling, Jan and Ares, Laura}},
  issn         = {{2643-1564}},
  journal      = {{Physical Review Research}},
  number       = {{3}},
  publisher    = {{American Physical Society (APS)}},
  title        = {{{Quantum speedup from nonclassical polarization}}},
  doi          = {{10.1103/mflc-2mzq}},
  volume       = {{8}},
  year         = {{2026}},
}

@article{66741,
  abstract     = {{<jats:title>Abstract</jats:title>
                  <jats:p>
                    We study theoretically how high-gain effects affect the measurement outcome of visible signal spectra in undetected photon measurement schemes. We consider two interferometric configurations: firstly, the SU(1,1) interferometer where the idler incurs loss and additional dispersion in between two identical, lossless, squeezers; secondly, the induced coherence interferometer where the idler incurs loss and additional dispersion in between two identical, lossless, squeezers and where the second squeezer is seeded by the idler and a vacuum ancilla mode. Furthermore, we consider a distributed loss configuration where the idler incurs loss as it propagates in the nonlinear medium. Motivated by experimental evidence and due to the fact that broadband sources are ideal for these measurement schemes, we use the dispersive data of a third-order dispersion engineered integrated waveguide parametric down conversion (PDC) source presented in Roeder
                    <jats:italic>et al</jats:italic>
                    (2024 New J. Phys.
                    <jats:bold>26</jats:bold>
                    123025) to model the PDC spectra in the three configurations. For each configuration we consider the case of idler-only (i) absorption, (ii) additional dispersion, and (iii) the combined effects. We obtain results which outline the strength and weaknesses of the different configurations at different operation points.
                  </jats:p>}},
  author       = {{Houde, Martin and Roeder, Franz and Silberhorn, Christine and Brecht, Benjamin and Quesada, Nicolás}},
  issn         = {{1367-2630}},
  journal      = {{New Journal of Physics}},
  number       = {{7}},
  publisher    = {{IOP Publishing}},
  title        = {{{High-gain effects in broadband continuous-wave parametric down conversion sources and measurements with undetected photons}}},
  doi          = {{10.1088/1367-2630/ae8692}},
  volume       = {{28}},
  year         = {{2026}},
}

@article{66740,
  abstract     = {{<jats:title>Abstract</jats:title>
                  <jats:p>
                    We theoretically compare the quantum Fisher information (QFI) for three configurations of absorption spectroscopy with undetected idler photons: an SU(1,1) interferometer with inter-source idler loss, an induced-coherence (IC) setup in which the idler partially seeds a second squeezer together with a vacuum ancilla, and a distributed-loss (DL) scheme with in-medium attenuation. We calculate the QFI as a function of parametric gain for both full and signal-only detection access. For losses below 99% and low to moderate gain, the SU(1,1) configuration provides the largest QFI. At high gain and intermediate loss, the IC scheme performs best, while under extreme attenuation (transmission
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                        <mml:mrow>
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                    1%) the DL model becomes optimal. These results delineate the measurement regimes in which each architecture is optimal in terms of information theory.
                  </jats:p>}},
  author       = {{Houde, Martin and Roeder, Franz and Silberhorn, Christine and Brecht, Benjamin and Quesada, Nicolás}},
  issn         = {{2515-7647}},
  journal      = {{Journal of Physics: Photonics}},
  number       = {{3}},
  publisher    = {{IOP Publishing}},
  title        = {{{Quantum fisher information analysis for absorption measurements with undetected photons}}},
  doi          = {{10.1088/2515-7647/ae82a2}},
  volume       = {{8}},
  year         = {{2026}},
}

@article{66094,
  abstract     = {{The two-qubit controlled-not (C-NOT) gate is an essential component for gate-based quantum circuits. In fact, its operation, combined with single qubit rotations allows to realise any quantum circuit. Several strategies have been adopted in order to build quantum gates. Among them, photonics offers the dual advantage of excellent isolation from the environment and ease of manipulation at the single qubit level. Here we adopt a scalable time-multiplexed approach in order to build a fully reconfigurable architecture capable of implementing a post-selected C-NOT gate with a fidelity of (93.8 ± 1.4)%. We then show how our time-multiplexed platform can be employed to combine a C-NOT and a single qubit gate in order to generate the four Bell states.}},
  author       = {{Pegoraro, Federico and Held, Philip and Lammers, Jonas and Brecht, Benjamin and Silberhorn, Christine}},
  issn         = {{2041-1723}},
  journal      = {{Nature Communications}},
  keywords     = {{Photonic Quantum Computing, Time-multiplexing, Quantum Information}},
  number       = {{1}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Demonstration of a quantum C-NOT gate in a time-multiplexed fully reconfigurable photonic processor}}},
  doi          = {{10.1038/s41467-026-74861-9}},
  volume       = {{17}},
  year         = {{2026}},
}

@inproceedings{61777,
  abstract     = {{Classical shadows are succinct classical representations of quantum states
which allow one to encode a set of properties P of a quantum state rho, while
only requiring measurements on logarithmically many copies of rho in the size
of P. In this work, we initiate the study of verification of classical shadows,
denoted classical shadow validity (CSV), from the perspective of computational
complexity, which asks: Given a classical shadow S, how hard is it to verify
that S predicts the measurement statistics of a quantum state? We show that
even for the elegantly simple classical shadow protocol of [Huang, Kueng,
Preskill, Nature Physics 2020] utilizing local Clifford measurements, CSV is
QMA-complete. This hardness continues to hold for the high-dimensional
extension of said protocol due to [Mao, Yi, and Zhu, PRL 2025]. Among other
results, we also show that CSV for exponentially many observables is complete
for a quantum generalization of the second level of the polynomial hierarchy,
yielding the first natural complete problem for such a class.}},
  author       = {{Karaiskos, Georgios and Rudolph, Dorian and Meyer, Johannes Jakob and Eisert, Jens and Gharibian, Sevag}},
  booktitle    = {{International Colloquium on Automata, Languages, and Programming (ICALP)}},
  number       = {{123}},
  pages        = {{1--23}},
  title        = {{{How hard is it to verify a classical shadow?}}},
  volume       = {{374}},
  year         = {{2026}},
}

@article{66632,
  abstract     = {{Three‐dimensional (3D) assemblies of gold nanoparticles (AuNPs) offer a rich platform for plasmonic coupling and near‐field engineering, yet their optical behavior is often complex due to structural disorder and fabrication‐induced variability. Here, we present a systematic optical investigation of large‐scale 3D AuNP assemblies fabricated via meniscus‐guided assembly, focusing on the reproducibility, spatial uniformity, and mode evolution of their plasmonic responses. Spatially‐resolved dark‐field scattering measurements reveal that high‐aspect‐ratio AuNP pillars exhibit uniform scattering spectra along their height and across different pillars, despite variations in geometry and structure. Electromagnetic simulations suggest that this robustness arises from a collective many‐particle plasmonic response that remains optically active despite structural perturbations. The corresponding near‐field and surface‐charge distributions remain spatially distributed under representative structural perturbations, consistent with volumetric averaging across the three‐dimensional assembly. Building on this robust platform, we introduce compositional modulation through a core–satellite architecture by incorporating smaller AuNPs. This yields a composition‐dependent spectral redistribution, including the emergence of an additional long‐wavelength spectral feature in the core–satellite assemblies. Wavelength‐dependent surface‐enhanced Raman scattering measurements reveal contrasting responses under 633 and 785 nm excitation, reflecting redistribution of local plasmonic coupling pathways. These results provide process‐enabled guidelines for using meniscus‐guided 3D‐nanoprinting to realize robust nanoparticle assemblies.}},
  author       = {{Devaraj, Vasanthan and Kwak, Sunghyun and Kim, Hyeongjip and Sung, Sang‐Keun and Lee, Jong‐Min and Zentgraf, Thomas and Kim, Won‐Geun}},
  issn         = {{1863-8880}},
  journal      = {{Laser &amp; Photonics Reviews}},
  publisher    = {{Wiley}},
  title        = {{{Spatially Uniform and Defect‐Tolerant Plasmonic Responses in 3D Printed Gold Nanoparticle Assemblies}}},
  doi          = {{10.1002/lpor.71686}},
  year         = {{2026}},
}

@article{66665,
  abstract     = {{Multimode quantum light has promising applications in many areas of physics, such as quantum communications and quantum computing. However, its multimode nature also makes it challenging to measure its properties. Recently [I. Barakat et al., Optica Quantum 3, 36 (2025)], a technique for the simultaneous measurement of squeezing of multiple broadband modes based on a phase-sensitive amplification approach was experimentally implemented using a setup that effectively corresponds to an SU(1,1) interferometer. Here, we aim to provide a complete theoretical analysis of the modal structure of (generally unbalanced) SU(1,1) interferometers and a detailed theoretical formal derivation of the framework for this technique. Utilizing the joint Schmidt decomposition of the transfer functions, we investigate the shape and phase profiles of the modes of the SU(1,1) interferometer and its components [parametric down-conversion (PDC) sections] for different parametric gain regimes. We discover a complicated interplay between the PDC modes and the modes of the entire interferometer, and analyze it by using their overlap coefficients as a similarity measure. Finally, we develop a rigorous processing method for the aforementioned multimode squeezing measurement technique and discuss necessary approximations to make this method experimentally feasible.}},
  author       = {{Scharwald, Dennis and Sharapova, Polina}},
  issn         = {{2643-1564}},
  journal      = {{Physical Review Research}},
  number       = {{3}},
  publisher    = {{American Physical Society (APS)}},
  title        = {{{Characterization of spatial Schmidt modes in high-gain SU(1,1) interferometers}}},
  doi          = {{10.1103/ph64-ts39}},
  volume       = {{8}},
  year         = {{2026}},
}

@article{66744,
  author       = {{Farheen, Henna and Chen, Yuheng and Chen, Peigang and Maan, Pranshu and Peana, Samuel and Senichev, Alexander and Shalaev, Vladimir M. and Boltasseva, Alexandra and Förstner, Jens and Kildishev, Alexander V.}},
  issn         = {{1077-260X}},
  journal      = {{IEEE Journal of Selected Topics in Quantum Electronics}},
  keywords     = {{tet_topic_opticalantenna}},
  pages        = {{1--12}},
  publisher    = {{Institute of Electrical and Electronics Engineers (IEEE)}},
  title        = {{{Efficient Silicon Nitride Quantum Interconnect for Intrinsic Silicon Nitride Single-Photon Emitters}}},
  doi          = {{10.1109/jstqe.2026.3722063}},
  year         = {{2026}},
}

