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Journal of Applied Physics

Fast transition-edge sensors suitable for photonic quantum computing

Ruslan Hummatov, Adriana E. Lita, Tannaz Farrahi, Negar Otrooshi, S. E. Fayer, Matthew J. Collins, Malcolm Durkin, D. A. Bennett, Joel N. Ullom, Richard P. Mirin, Sae Woo Nam

Published Jun 16, 2023• 26 citations
Publisher

Abstract

Photon-number resolving transition-edge sensors (TESs) with near unity system detection efficiency enable novel approaches to quantum computing, for example, heralding robust Gottesman–Kitaev–Preskill qubit states. Increasing the speed of the detectors increases the rate at which these states can be heralded. In addition, depending on the details of the scheme, faster detectors can reduce the complexities of the hardware implementation. In previous work, we demonstrated that adding a small amount of gold between the tungsten film and silicon substrate can increase thermal conductance and reduce detector recovery time. In that study, the readout electronics imposed limitations on stable biasing conditions of the TES detector, and the TES could only be biased at higher than ideal values. In this report, we demonstrate the operation of the TES illuminated by a heavily attenuated pulsed laser running at 1 MHz repetition rate and examine the limits to adding gold to speed up device recovery times using a higher bandwidth readout system. The best performance was achieved by combining a 15×15μm2 tungsten TES with 5μm3 of gold, which resulted in a recovery time faster than 250 ns, with an energy resolution of 0.25 eV full-width at half maximum at 0.8 eV photon energy.

DOI
10.1063/5.0149478

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Photon-number resolving transition-edge sensors (TESs) with near unity system detection efficiency enable novel approaches to quantum computing, for example, heralding robust Gottesman–Kitaev–Preskill qubit states. Increasing the speed of the detectors increases the rate at which these states can be heralded. In addition, depending on the details of the scheme, faster detectors can reduce the complexities of the hardware implementation. In previous work, we demonstrated that adding a small amount of gold between the tungsten film and silicon substrate can increase thermal conductance and reduce detector recovery time. In that study, the readout electronics imposed limitations on stable biasing conditions of the TES detector, and the TES could only be biased at higher than ideal values. In this report, we demonstrate the operation of the TES illuminated by a heavily attenuated pulsed laser running at 1 MHz repetition rate and examine the limits to adding gold to speed up device recovery times using a higher bandwidth readout system. The best performance was achieved by combining a 15×15μm2 tungsten TES with 5μm3 of gold, which resulted in a recovery time faster than 250 ns, with an energy resolution of 0.25 eV full-width at half maximum at 0.8 eV photon energy.
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This study developed transition-edge sensors (TESs), which can achieve high detection efficiency and fast response time through an optimized optical cavity design. Their suitability for optical quantum information processing was confirmed. Furthermore, we developed TESs with two different sensitive area sizes—8 × 7 ţm2, 12 × 11 ţm2—and systematically evaluated their performances. By employing a titanium (Ti)/gold (Au) bilayer with a relatively high transition temperature as the sensitive element, we achieved a fast total response time—defined as the sum of the rise and decay times—of ∼160 ns. Furthermore, the optical cavity structure—predicted by simulations to achieve a photon absorptance of 99.9% at 1550 nm—yielded measured system detection efficiencies of 94.7% ± 0.62% for the 8 × 7 ţm2 TES and 99.0% ± 0.60% for the 12 × 11 ţm2 TES. Photon response measurements indicate an energy resolution of 0.20 eV for the 8 × 7 ţm2 TES and 0.37 eV for the 12 × 11 ţm2 TES. These results establish that the proposed TESs are the fastest and most efficient devices reported to date. The proposed devices offer a high detection efficiency, high count rate, and accurate photon-number resolution. Therefore, they provide a breakthrough platform for scalable fault-tolerant quantum information processing and enable significant advances in experimental quantum optics.
Energy resolution (ΔE), recovery time (τeff), and quantum efficiency (QE) are some of the most important single photon-counting detector parameters. New applications in the quantum optics field place extreme demand on detector performances that go beyond the capabilities of established single-photon detectors. Unfortunately, it is hard to reach best results for all these parameters at the same time. Concerning transition-edge sensors (TESs) as single photon detectors, ΔEand τeffare directly and inversely proportional to the transition temperatureTc, respectively. Moreover, the geometrical optical coupling between illuminating fiber and detector, the device material and the characteristics of the optical cavity or the antireflection coating, drastically influence theQEand in some cases also the ΔE. Previous TESs fabricated by Istituto Nazionale di Ricerca Metrologica were characterized by very high energy resolution (0.18 eV) but high τeffand lowQE. In this work, we present a Ti/Au TES with higherTc(300 mK) that, using the optical alignment system implemented by AIST, shows an optimization of these important parameters, energy resolution of 0.26 eV, recovery time of 186 ns, and a quantum efficiency of 50% without using any optical structure deposited on the detector.
Many quantum-information applications require high-efficiency, low-noise, single-photon detectors that operate at visible and near-infrared wavelengths. The tunable superconducting critical temperature and anomalously low electron-phonon coupling of tungsten make it a suitable material for the fabrication of transition-edge sensors (TESs) that meet these requirements. The quantum efficiency of a typical tungsten TES detector, intrinsically around 15% at 1550 nm, can be increased by placing the tungsten detector in a resonant cavity, but the performance of a device embedded in a cavity has not been tested previously. We demonstrate that the presence of the cavity does not adversely affect the sensitivity or response time, and we report on the device characteristics of a new generation of tungsten TESs with greater than 80% quantum efficiency at 1550 nm.
Transition Edge Sensors (TESs) are characterized by the intrinsic figures of merit to resolve both the energy and the statistical distribution of the incident photons. These properties lead TES devices to become the best single photon detectors for quantum technology experiments. For a TES based on titanium and gold, has been reached, at telecommunication wavelength, an unprecedented intrinsic energy resolution (0.113 eV). The uncertainty analysis of both energy resolution and photon state assignment has been discussed. The thermal properties of the superconductive device have been studied by fitting the bias curves to evaluate the theoretical limit of the energy resolution.
Transition edge sensors (TESs) with high energy resolution (ΔE) at telecommunication wavelengths have been realized in the last years for application to experiments of quantum optics and quantum information. In these fields, lasers with repetition rate of the order of 50 MHz are usually applied and hence TES with recovery times lower than 20 ns would be desirable. To this aim, Ti TESs with area ranging between 1 μm × 1 μm and 2 μm × 2 μm are fabricated and characterized, to study the effects of the different sizes of active areas and critical temperatures on the energy resolutions and on the response times. Titanium TESs have been fabricated by thermal evaporation and Electron Beam Lithography technique on Si/SiN substrates, and they have been electrically and optically characterized. The experimental data have been analyzed and correlated to the detector geometrical parameters. The superconducting transitions of TESs with areas down to 1 μm × 1 μm result to be affected by lateral proximity effects of Nb wirings. Ti TESs with critical temperature of 470 mK show response time of about 150 ns and energy resolution of 0.16 eV.