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Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC)

Photon Number Resolution via Multi-Photon Subtraction in a Waveguide-QED Setting

Abdolreza Pasharavesh, Sai Sreesh Venuturumilli, Michal Bajcsy

Published Jun 23, 2025• 0 citations
Publisher

Abstract

A description of states of light in terms of photons allows for a clear delineation between classical and non-classical light. The development of single-photon sources and detectors has enabled experimental studies of quantum light at the single-photon level, proving essential for applications in quantum communication, sensing, and imaging. Multi-photon quantum states, existing in higher-dimensional spaces, extend these applications and open opportunities to study the rich space of non-classical light states. Platforms for sourcing and characterizing such states have been increasingly explored to leverage the quantum resources they offer. Arithmetic operations of photon addition and subtraction, allow for generating non-classical multi-photon light from classical sources like coherent and squeezed states, as well as for photon-number-resolved (PNR) detection. PNR detection is essential for characterizing multi-photon states,providing access to their photon-number distributions and higher-order correlations, and enabling advanced quantum tomography.

DOI
10.1109/cleo/europe-eqec65582.2025.11110684

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A description of states of light in terms of photons allows for a clear delineation between classical and non-classical light. The development of single-photon sources and detectors has enabled experimental studies of quantum light at the single-photon level, proving essential for applications in quantum communication, sensing, and imaging. Multi-photon quantum states, existing in higher-dimensional spaces, extend these applications and open opportunities to study the rich space of non-classical light states. Platforms for sourcing and characterizing such states have been increasingly explored to leverage the quantum resources they offer. Arithmetic operations of photon addition and subtraction, allow for generating non-classical multi-photon light from classical sources like coherent and squeezed states, as well as for photon-number-resolved (PNR) detection. PNR detection is essential for characterizing multi-photon states,providing access to their photon-number distributions and higher-order correlations, and enabling advanced quantum tomography.
Quantum-light sources based on semiconductor quantum dots (QDs) are promising candidates for many applications in quantum photonics and quantum communication. Important emission characteristics of such emitters, namely the single-photon purity and photon indistinguishability, are usually assessed via time-correlated measurements using standard 'click' detectors in Hanbury Brown and Twiss or Hong-Ou-Mandel (HOM-) type configurations. In this work, we employ a state-of-the-art photon-number-resolving (PNR) detection system based on superconducting transition-edge sensors (TESs) to directly access the photon-number distribution of deterministically fabricated solid-state single-photon sources. Offering quantum efficiencies close to unity and high energy resolution, our TES-based two-channel detector system allows us to analyse the quantum optical properties of a QD-based non-classical light source. In particular, it enables the direct observation of the two-particle Fock-state resulting from interference of quantum mechanically indistinguishable photons in HOM-experiments. Additionally, comparative measurements reveal excellent quantitative agreement of the photon-indistinguishabilities obtained with PNR ((90 ± 7)%) and standard click ((90 ± 5)%) detectors. Our work thus demonstrates that TES-based detectors are perfectly suitable for the quantum metrology of non-classical light sources and higlights appealing prospects for the efficient implementation of quantum information tasks based on multi-photon states.
Non-classical light is both easily encoded with quantum information and robust against decoherence, making it a key resource that enables many quantum information applications including quantum computing, quantum communication, and quantum metrology. We present a wide range of experimental and theoretical research toward the generation, detection, characterization, and storage of non-classical states of light with an eye toward quantum information applications. To provide a basis for the rest of the work, we begin by discussing theoretically the role of photon number statistics in optical quantum information and the use of second-order optical coherence to characterize non-classical light. Building on that, we present an original tool for the difficult problem of reconstructing the underlying mode distribution of multi-mode optical fields using simple measurements of higher-order optical coherence. We then move on to the problem of generating and storing single photons. We do this in a solid-state medium, a rare-earth ion-doped crystal, with a long-lived spin transition ideal for storing quantum information. We experimentally demonstrate the feasibility of this concept by showing correlations between the optical fields that herald storage and retrieval of collective excitations. This scheme can be used for the two important and distinct applications of generating single photons on-demand and storing quantum information and entanglement. The detection of non-classical light is a task as important as its generation. To this end, we study detectors with near unity detection efficiency and photon number resolution for use in quantum-enabled metrology. We use such a detector to experimentally demonstrate compression of spatial fringes and investigate the possibility of improving measurement resolution with classical and non-classical light. Finally, we report a set of experiments using photon number statistics to characterize classical and non-classical light. We measure suppression of unwanted multi-photon emission in a heralded single photon source based on four-wave mixing in microstructure optical fiber. And we, for the first time, experimentally demonstrate reconstruction of multi-mode classical and non-classical light from measured photon number statistics.
Abstract In this review we present the potentialities and the achievements of the use of non-classical photon-number correlations in twin-beam states for many applications, ranging from imaging to metrology. Photon-number correlations in the quantum regime are easily produced and are rather robust against unavoidable experimental losses, and noise in some cases, if compared to the entanglement, where losing one photon can completely compromise the state and its exploitable advantages. Here, we will focus on quantum enhanced protocols in which only phase-insensitive intensity measurements (photon-number counting) are performed, which allow probing the transmission/absorption properties of a system, leading, for example, to innovative target detection schemes in a strong background. In this framework, one of the advantages is that the sources experimentally available emit a wide number of pair-wise correlated modes, which can be intercepted and exploited separately, for example by many pixels of a camera, providing a parallelism, essential in several applications, such as wide-field sub-shot-noise imaging and quantum enhanced ghost imaging. Finally, non-classical correlation enables new possibilities in quantum radiometry, e.g. the possibility of absolute calibration of a spatial resolving detector from the on-off single-photon regime to the linear regime in the same setup.
As single-photon sources become more mature and are used more often in quantum information, communications and measurement applications, their characterization becomes more important. Single-photon-like light is often characterized by its brightness, and two quantum properties: the single-photon composition and the photon indistinguishability. While it is desirable to obtain these quantities from a single measurement, currently two or more measurements are required. Here, we simultaneously determine the brightness, the single photon purity, the indistinguishability, and the statistical distribution of Fock states to third order for a quantum light source. The measurement uses a pair of two-photon (n = 2) number-resolving detectors. n > 2 number-resolving detectors provide no additional advantage in the single-photon characterization. The new method extracts more information per experimental trial than a conventional measurement for all input states, and is particularly more e cient for statistical mixtures of photon states. Thus, using this n=2, number- resolving detector scheme will provide advantages in a variety of quantum optics measurements and systems.
Quantum photonics benefits from the scientific advances in the development of quantum light sources. To gain inside into the underlying physical processes of light generation, we use photon-number-resolving (PNR) transition edge sensors (TESs), which are able to directly access the photon-number distribution of nanophotonic devices. We present results on the transition from thermal to coherent emission of two different classes of microlasers: electrically driven bimodal quantum dot micropillar lasers and exciton polariton lasers. Furthermore, the photon number distribution of deterministically fabricated quantum dot based single-photon sources is investigated to explore the single-photon purity and indistinguishability of photons emitted by these sources.
Photon-number-resolving (PNR) detectors are a key enabling technology in photonic quantum information processing. Here, we demonstrate the PNR capacity of conventional superconducting nanowire single-photon detectors by performing ultra-high-resolution time-tagging of the detector-generated electrical pulses. This method provides a viable approach for PNR with high detection efficiency and a high operational repetition rate. We present the implementation of such a PNR detector in the telecom C-band and its characterization by measuring the photon-number statistics of coherent light with tunable intensity. Additionally, we demonstrate the capabilities of the detection method by measuring photon-number correlations of non-classical states.