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Quantum Optics and Photon Counting

Linear SPAD array for quantum communication

Alfonso Incoronato, Fabio Severini, Francesca Madonini, Federica Villa, Franco Zappa

Published Apr 13, 2021• 4 citations
Publisher

Abstract

Quantum communication is a fast-growing field that takes advantage of the quantum physics laws to protect and secure sensitive data. This work takes part of the European project UNIQORN (Affordable Quantum Communication for Everyone: Revolutionizing the Ecosystem from Fabrication to Application) whose aim is to develop a Quantum System on Chip (QSoC) for telecom application. The Integrated Circuit (IC) designed contributes in the QRNG block of the system, tailored to communicate with the integrated non-linear optics circuit. Such detector is a 32×1 linear array based on Single-Photon Avalanche-Diode (SPAD) detectors for the generation of a raw random number, by revealing the position on the array of the single photon impinging on it, realized in a BCD 0.16 μm technology. The linear array architecture consists of 32 pixels, pitched at 125 μm, each made by 4 SPADs with different diameter (5 μm, 10 μm, 20 μm, 50 μm). Two operation modes are implemented: Single-Hit Mode, needed to reveal the (5-bit) position of the pixel triggered by a single photon, representing a random number, in a time window synchronous with the laser emission. Multi Hit Mode, used to identify a coincidence of a certain number of photons(more than one, two, three or four) detected within a specified time window, thanks to a multi threshold coincidence detection logic.

DOI
10.1117/12.2592091

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Quantum communication is a fast-growing field that takes advantage of the quantum physics laws to protect and secure sensitive data. This work takes part of the European project UNIQORN (Affordable Quantum Communication for Everyone: Revolutionizing the Ecosystem from Fabrication to Application) whose aim is to develop a Quantum System on Chip (QSoC) for telecom application. The Integrated Circuit (IC) designed contributes in the QRNG block of the system, tailored to communicate with the integrated non-linear optics circuit. Such detector is a 32×1 linear array based on Single-Photon Avalanche-Diode (SPAD) detectors for the generation of a raw random number, by revealing the position on the array of the single photon impinging on it, realized in a BCD 0.16 μm technology. The linear array architecture consists of 32 pixels, pitched at 125 μm, each made by 4 SPADs with different diameter (5 μm, 10 μm, 20 μm, 50 μm). Two operation modes are implemented: Single-Hit Mode, needed to reveal the (5-bit) position of the pixel triggered by a single photon, representing a random number, in a time window synchronous with the laser emission. Multi Hit Mode, used to identify a coincidence of a certain number of photons(more than one, two, three or four) detected within a specified time window, thanks to a multi threshold coincidence detection logic.
A compact quantum random number generator (QRNG) based on an array of Single Photon Avalanche Diodes (SPADs) is presented here. The main feature of the proposed chip is the capability to generate random numbers without the use of any external source of light. In this view, SPADs are configured to be used in two ways: 1) as a controlled light emitter and 2) as a detector. An embedded logic is able to distinguish dark events against detected emitted photon in such a way to make the system sensitive only to the presence of light. The extracted random bits show a uniform distribution and the QRNG, thanks to an integrated conditioning block maximizing the output entropy, eventually passes all AIS31 tests. The average raw bit rate in the default device configuration (one enabled column) is measured equal to 800 kbps.
A quantum random generator based on photon detection is here presented. The system consists of a photon source, typically a commercial LED, coupled with a detector with single photon detection capability. The detector is composed of a Single-Photon Avalanche Diode (SPAD) and a time stamp circuit, which samples the arrival time of impinging photons within a predefined temporal window. The proposed implementation optimizes the area, allowing embedding all circuitry into a single pixel, and increases the efficiency of random bit extraction. Moreover, the adopted fast pre-charge mode of the SPAD quenching circuit reduces the afterpulsing probability, and hence possible undesirable correlation in the resulting random bit sequence. Thanks to the implemented random bit extraction, experimental results show that the pixel has a flat behavior for a significant range of light intensity, which makes the pixel robust against variations of external PVT parameters. The maximum achievable bit rate has been measured equal to 1 Mbps, while random sequences are shown to pass NIST tests without any post-processing.
The ability to generate and handle quantum correlations in twin-beam states is the foundation to overcome the imaging limitations imposed by classical light [1], relying on efficient detectors able to select temporal correlations among photons with maximized signal-to-noise ratio. Indeed, quantum information is contained in the interaction with the sample of just two photons, thus losing even one of them or mixing them up with background can completely compromise the experiment. To this end, assessing and evaluating the expected probability of measurement errors is of utmost importance to optimize the detector design. A typical experimental setup of a quantum imaging system based on Spontaneous Parametric Down Conversion (SPDC), the most effective way of producing temporally and spatially correlated entangled photons [2], involves a pump laser hitting a non-linear birefringent crystal producing a down-converted signal, some passive optical components to generate polarization-entangled photons and a pixelated photon detector that eventually reveals the position of coincident entangled photons. The overall detection efficiency of the measurement setup (i.e. heralding efficiency ηH) gathers all its possible losses and non-idealities of the mentioned setup components, namely the crystal conversion efficiency, the optical losses, the detector Photon Detection Efficiency (PDE) and fill-factor. In this study, we consider a detection based on a Single Photon Avalanche Diode (SPAD) array, able to detect coincidences on-chip and with event-driven architecture, which provides fast readout, low power consumption and optimized data throughput. However, related to every on-chip coincidence detection and event-driven based architecture, some operations require a certain amount of time to be performed that, combined with the generation of undesired single photons (both due to limited heralding efficiency and SPAD Dark Count Rate, DCR), yield to three measurement errors, here described with their related probabilities. Firstly, due to the finite duration of the coincidence window ∆tCOINC, there exist a probability Pfalseof wrongly detecting as coincident photons two single photons, and can be expressed as:\begin{equation*}{P_{false}} = \frac{{\left[ {2{\mu _{SOURCE{\text{ }}}}{\eta _H}\left( {1 - {\eta _H}} \right) + {\text{DCR}}} \right]\left( {1 - {e^{ - \left[ {2{\mu _{SOURCE}}{\eta _H}\left( {1 - {\eta _H}} \right) + {\text{DCR}}} \right]\Delta {t_{COINC}}}}} \right)}}{{{\mu _{SOURCE}}\eta _H^2 + \left[ {2{\mu _{SOURCE}}{\eta _H}\left( {1 - {\eta _H}} \right) + DCR} \right]\left( {1 - {e^{ - \left[ {2{\mu _{SOURCE}}{\eta _H}\left( {1 - {\eta _H}} \right) + {\text{DCR}}} \right]\Delta {t_{COINC}}}}} \right)}}\tag{1}\end{equation*}where µSOURCEis the number of photon pairs generated by an ideal non-linear crystal. Secondly, in the time needed for the array to "freeze" the pixels state after a coincidence event (∆tFREEZE) so that they can be readout, there is the probability Pspuriousof detecting a third spurious event after a coincidence has been detected, which is expressed as:\begin{equation*}{P_{spurious}} = 1 - {e^{ - \left[ {2{\mu _{SOURCE\eta }}_H\left( {1 - {\eta _H}} \right) + DCR} \right]\Delta {t_{FREEZE}}}}\tag{2}\end{equation*}
Single-Photon Avalanche Diodes (SPADs) are solid-state photo-detectors capable of detecting single photons by exploiting the avalanche effect that occurs in the breakdown of a p-n junction biased above breakdown voltage. By this effect, a SPAD translates an incoming photon to a macroscopic current pulse. These devices are currently used for building medical devices characterized by a very high time resolution. An appealing application of SPAD is to use them as a basic block for building the entropy source of true random number generators. In this paper we focus on such application, and we explore the design challenges behind the realization of a quantum random number generator based on a massively parallel array of SPADs. The matrix under investigation comprises 512×128 independent cells that convert photons onto a raw bit-stream, which, as ensured by the properties of quantum physics, is characterized by a very high level of randomness. The sequences are read out in a 128-bit parallel bus, concatenated, and pipelined onto a de-biasing filter. Subsequently, we fabricated the proposed chip using a standard CMOS process. Our results, achieved on the manufactured device and coupling two matrices, show that our architecture can reach up to 5 Gbit/s while consuming 25pJ/bit, thus demonstrating scalability and performance for any random number generators based on SPADs.
We present here results of the Quantum Technology Flagship project UNIQORN in the area of integrated photonics for quantum communication applications. Three distinct integration platforms, namely indium phosphide based monolithic integration, polymer-based hybrid integration and the CMOS-compatible silicon platform, have been employed to manufacture components and sub-systems on chip for quantum communication devices. The choice of different platforms was made to exploit the best characteristics of each platform for the intended quantum communication device. The indium phosphide platform was employed to manufacture a transmitter chip for quantum key distribution featuring laser, modulators, and attenuators. The transmitter chip was evaluated in a QKD experiment achieving a secure rate of 1 kbit/s. The polymer platform was investigated for engineering non-classical light sources. Entangled and heralded single-photon sources, based on non-linear optics, were assembled on the polymer in a hybrid fashion together with waveguides and other passive micro-optical elements. A quantum random number generator, featuring a 70% randomness extraction efficiency, was also fabricated using the polymer integration technique. An array of 32 individual single-photon avalanche diodes, operating at room temperature and featuring an onboard coincidence logic, was coupled to the chip to demonstrate direct detection of photons on the polymer. Finally, a transimpedance amplifier based on gallium arsenide high electron mobility transistors was produced with an exceptional large electrical noise clearance of 28 dB at 100 MHz.