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Overcoming the classical signal-to-noise ratio limit through on-chip photon addition

Kristina L. Malinowski, Amir Targholizadeh, Aswini Kumar Pattanayak, Holland Frieling, Jagi Rout, Benjamin E. C. Koltenbah, Pankaj Kumar Jha, Harry A. Atwater

Published Apr 17, 2026• 1 citation
Publisher

Abstract

Single-photon addition enables “lossless” amplification and preparation of non-Gaussian and arbitrary quantum states using nonlinear optical processes and tabletop optics. While photon addition can be implemented in free space using bulk optics, often these discrete components can lead to compounded input and output losses, which detract from amplification. Furthermore, arbitrary quantum states are an essential resource for photonic quantum computing, which will be more accessible if created on-chip. We present a conceptual chip-based device for deterministic single-photon addition and integrated superconducting nanowire-based detection, with a focus on how this device facilitates “lossless” amplification in phase-based interferometry. Our model using on-chip, deterministic photon addition overcomes the classical signal-to-noise ratio (SNR) limits of coherent and thermal light by 2.3× and 3.5×, respectively. These gains increase with additional single-photon addition events. Through careful device design and optimization, we limit total system loss to −1.15 dB. We estimate this device could produce a waveguide-coupled deterministic single-photon in 21% of pulsed signals, far outperforming the probability rates of probabilistic sources. Finally, we show that the benefits of on-chip, deterministic single-photon addition for SNR amplification outweigh chip input losses.

DOI
10.1063/5.0314599

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•Jan 1, 2025•0 citations
Single-photon addition enables “lossless” amplification and preparation of non-Gaussian and arbitrary quantum states using nonlinear optical processes and tabletop optics. While photon addition can be implemented in free space using bulk optics, often these discrete components can lead to compounded input and output losses, which detract from amplification. Furthermore, arbitrary quantum states are an essential resource for photonic quantum computing, which will be more accessible if created on-chip. We present a conceptual chip-based device for deterministic single-photon addition and integrated superconducting nanowire-based detection, with a focus on how this device facilitates “lossless” amplification in phase-based interferometry. Our model using on-chip, deterministic photon addition overcomes the classical signal-to-noise ratio (SNR) limits of coherent and thermal light by 2.3× and 3.5×, respectively. These gains increase with additional single-photon addition events. Through careful device design and optimization, we limit total system loss to −1.15 dB. We estimate this device could produce a waveguide-coupled deterministic single-photon in 21% of pulsed signals, far outperforming the probability rates of probabilistic sources. Finally, we show that the benefits of on-chip, deterministic single-photon addition for SNR amplification outweigh chip input losses.
Quantum photonic circuits based on nanophotonic components hold promise for overcoming scalability limitations in optical quantum systems. Functional systems will require the co-integration of single photon sources, detectors and tunable photonic components. Waveguide integrated single photon detectors based on superconducting nanowires (SNSPDs) have been shown to fulfill the demanding requirements for on-chip quantum photonics. Because they provide very wide optical detection bandwidth, their use with optically pumped single photon sources poses severe challenges for on-chip filtering. We overcome these challenges by co-integrating electrically driven single photon sources with superconducting detectors. Single photon sources with nanoscale footprint are realized by depositing electrically contacted carbon nanotubes (CNTs) across nanophotonic waveguides. CNTs under electrical current bias are shown to emit non-classical light which is coupled efficiently into the underlying photonic framework. The CNTs are shown to provide high count rates in the MHz range. The statistical characterization of the CNT light source crucially relies on the high timing resolution of the SNSPDs which allows for measuring photon statistics for emitters with sub-100ps lifetime. The combination of top-down nanofabrication with deposition by electrophoresis provides a waferscale approach for realizing non-classical circuits on chip. Such hybrid quantum photonic devices therefore hold promise for realizing complex integrated devices without additional optical input ports.
Photonic quantum technologies hold promise to repeat the success of integrated nanophotonic circuits in non-classical applications. Using linear optical elements, quantum optical computations can be performed with integrated optical circuits and can therefore overcome the existing limitations in terms of scalability. In addition to passive optical devices for realizing photonic quantum gates, active elements, such as single-photon sources and single-photon detectors, are essential ingredients for future optical quantum circuits. Material systems that allow for the monolithic integration of all components are particularly attractive, including III-V semiconductors, silicon and diamond. Here, we demonstrate nanophotonic integrated circuits made from high-quality polycrystalline diamond thin films in combination with on-chip single-photon detectors. By using superconducting nanowires that are coupled evanescently to traveling waves, we achieve high detection efficiencies of up to 66% as well as low dark count rates and a timing resolution of 190 ps. Our devices are fully scalable and hold promise for functional diamond photonic quantum devices. The development of on-chip quantum circuitry progresses with the integration of single-photon detectors with diamond nanophotonic waveguides. Researchers based in Germany at Karlsruhe Institute of Technology and the Fraunhofer Institute of Applied Solid State Physics have fabricated superconducting niobium nitride nanowire detectors directly on top of diamond rib waveguides. This traveling wave design means that photons propagating in the diamond waveguides are coupled evanescently to the superconducting nanowires, allowing efficent on-chip detection of single photons. The small footprints of the detectors allow hundreds of detector circuits to be realized on a single chip. Furthermore, their fast response (they have a decay time of just 5.1 nanoseconds) allows operation at count rates of up to 200 megahertz and with a timing resolution of 190 picoseconds.
Abstract While single photon detectors provide superior intensity sensitivity, spectral resolution is usually lost after the detection event. Yet for applications in low signal infrared spectroscopy recovering information about the photon’s frequency contributions is essential. Here we use highly efficient waveguide integrated superconducting single-photon detectors for on-chip coherent detection. In a single nanophotonic device, we demonstrate both single-photon counting with up to 86% on-chip detection efficiency, as well as heterodyne coherent detection with spectral resolution f/∆f exceeding 1011. By mixing a local oscillator with the single photon signal field, we observe frequency modulation at the intermediate frequency with ultra-low local oscillator power in the femto-Watt range. By optimizing the nanowire geometry and the working parameters of the detection scheme, we reach quantum-limited sensitivity. Our approach enables to realize matrix integrated heterodyne nanophotonic devices in the C-band wavelength range, for classical and quantum optics applications where single-photon counting as well as high spectral resolution are required simultaneously.
Deterministic generation of single photons is essential for many quantum information technologies. A bulk optical nonlinearity emitting a photon pair, where the measurement of one of the photons heralds the presence of the other, is commonly used with the caveat that the single-photon emission rate is constrained due to a trade-off between multiphoton events and pair emission rate. Using an efficient and low noise photon-number-resolving superconducting nanowire detector we herald, in real time, a single photon at telecommunication wavelength. We perform a second-order photon correlation g2(0){g}^{2}(0)g2(0) measurement of the signal mode conditioned on the measured photon number of the idler mode for various pump powers and demonstrate an improvement of a heralded single-photon source. We develop an analytical model using a phase-space formalism that encompasses all multiphoton effects and relevant imperfections, such as loss and multiple Schmidt modes. We perform a maximum-likelihood fit to test the agreement of the model to the data and extract the best-fit mean photon number $\ensuremath{\mu}$ of the pair source for each pump power. A maximum reduction of $0.118\ifmmode\pm\else\textpm\fi{}0.012$ in the photon g2(0){g}^{2}(0)g2(0) correlation function at $\ensuremath{\mu}=0.327\ifmmode\pm\else\textpm\fi{}0.007$ is obtained, indicating a strong suppression of multiphoton emissions. For a fixed ${g}^{2}(0)=7\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}3}$, we increase the single pair generation probability by 25%. Our experiment, built using fiber-coupled and off-the-shelf components, delineates a path to engineering ideal sources of single photons.
Photonic-integrated circuits have emerged as a scalable platform for complex quantum systems. A central goal is to integrate single-photon detectors to reduce optical losses, latency and wiring complexity associated with off-chip detectors. Superconducting nanowire single-photon detectors (SNSPDs) are particularly attractive because of high detection efficiency, sub-50-ps jitter and nanosecond-scale reset time. However, while single detectors have been incorporated into individual waveguides, the system detection efficiency of multiple SNSPDs in one photonic circuit-required for scalable quantum photonic circuits-has been limited to <0.2%. Here we introduce a micrometer-scale flip-chip process that enables scalable integration of SNSPDs on a range of photonic circuits. Ten low-jitter detectors are integrated on one circuit with 100% device yield. With an average system detection efficiency beyond 10%, and estimated on-chip detection efficiency of 14-52% for four detectors operated simultaneously, we demonstrate, to the best of our knowledge, the first on-chip photon correlation measurements of non-classical light.
Advancements in integrated photonics have enabled the miniaturization and scaling of complex photonic circuits, providing stability and reliability beyond the capabilities of conventional bulk setups. A central component of quantum photonic circuits is the single-photon detector, responsible for quantum state measurement. Due to the stringent performance requirements of quantum applications, superconducting nanowire single-photon detectors (SNSPDs) have emerged as the preferred detection technology, offering superior efficiency, low noise, and high timing resolution. While tabletop SNSPDs are now mature, commercially available and contributed to significant progress in quantum computing and communication, their integration into photonic circuits is still in its infancy. Integrated SNSPDs have shown the potential to not only match but surpass tabletop detectors in several performance metrics. Nevertheless, demonstrations have largely focused on individual integrated detectors, with limited investigation into more complex integrated circuits and advanced functionalities. In this thesis, we present a novel integration platform based on photonic bound states in the continuum (BICs) to address a critical limitation of conventional SNSPD designs, where nanowires placed directly atop the waveguide core are constrained by the core geometry. The etchless nature of our BIC waveguides provides a flat surface that decouples the design of the electronic readout circuitry below from the optical circuit layer above, enabling innovative integrated-nanowire geometries and facilitating large-scale integration of SNSPDs with CMOS-compatible circuits. We established a complete fabrication and characterization workflow for integrating NbTiN-based superconducting nanowires with BIC waveguides. Our integrated detectors achieved state-of-the-art performance, including detection efficiencies exceeding 70%, intrinsic jitter below 70 ps, and ultrafast recovery times (~1.7 ns). These results pave the way toward GHz-rate quantum state measurements, essential for scalable quantum photonic processors. Leveraging the design flexibility of BIC waveguides, we introduce the concept of inline detection with SNSPDs which exploits their unique ability to precisely engineer absorption through nanowire length control. By cascading multiple partially absorbing SNSPDs, it is possible to significantly reduce the number of required optical components and miniaturize complex quantum measurement setups within an extremely compact footprint. Traditional integration geometries prevent such implementations due to significant scattering losses at nanowire terminations, which limit the feasibility of cascaded designs. On the other hand, the design flexibility provided by our BIC platform makes it ideal for development of inline detection schemes. As a proof-of-concept, we use inline detection to miniaturize two fundamental quantum optics tools: an integrated Hanbury Brown and Twiss (HBT) interferometer and a photon-number-resolving (PNR) detector. We replicated the functionalities of these setups using only two nanowires integrated along a single waveguide. These devices show extremely compact footprint, highlighting the scalability potential of our approach. We validated these devices through characterization of a single-photon source and the discrimination of collinear photon pairs. The experimental results aligned well with previous literature and theoretical predictions, confirming the reliability of our integration method. Overall, this work presents a novel approach to quantum measurements within integrated quantum photonic circuits. Inline detection represents a step forward in quantum integrated photonics, moving from individual device demonstrations toward functional quantum circuits. By introducing our BIC-based integration platform, we simplify detector design and fabrication, lowering barriers to the development of inline detection circuits and opening new opportunities in multiphoton quantum state measurements, single-photon spectroscopy, and multiphoton subtraction.