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International Conference on Transparent Optical Networks

Effects of Sampling Rate on Amplified Spontaneous Emission Based Single-Bit Quantum Random Number Generation

Ágoston Schranz, Ádám Marosits, Eszter Udvary

Published Jul 1, 2019• 2 citations
Publisher

Abstract

We report the sampling rate dependency of a single-bit quantum random number generation scheme using a filtered and amplified source of amplified spontaneous emission (ASE). The quality of randomness is measured by the number of passed NIST statistical randomness tests. The number decreases for almost all cases when increasing the sampling rate. We apply a simple self-delay XOR post-processing technique, drastically improving the quality for low sampling rates. However, sampling rates higher than the analog bandwidth of the sampled intensity fluctuations are found to be ineligible for the generation scheme.

DOI
10.1109/icton.2019.8840188

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We report the sampling rate dependency of a single-bit quantum random number generation scheme using a filtered and amplified source of amplified spontaneous emission (ASE). The quality of randomness is measured by the number of passed NIST statistical randomness tests. The number decreases for almost all cases when increasing the sampling rate. We apply a simple self-delay XOR post-processing technique, drastically improving the quality for low sampling rates. However, sampling rates higher than the analog bandwidth of the sampled intensity fluctuations are found to be ineligible for the generation scheme.
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We propose a scheme for random bit generation with filtered amplified spontaneous emission (ASE). Using the filtered ASE, we can get larger signal fluctuations than when using directly detected ASE with a photodetector. Utilizing the delayed self-difference technique to improve the symmetry of filtered ASE, we experimentally achieve real-time 2.5-Gbit/s random sequence generation, which matches with the speeds of fiber communication for one-time pad encryption. Experimental results show that the generated random sequences can pass NIST tests as long as the delay time is beyond a threshold value, which is called the minimum delay time (MDT). Further simulation results indicate that there is a certain relationship between the MDT and bandwidth of the ASE signal.
Quantum random number generators (QRNG) based on amplified spontaneous emission (ASE) are known to achieve multi-gigabit-per-second rates through high-speed sampling of intensity and phase fluctuations. Two popular implementations of these QRNGs are based on balanced detection of ASEASE and ASE-Laser beating. The high QRNG rates reported so far however come at the price of increased system complexity, making it a clear deterrent for widespread use. In this paper, we perform a direct one-to-one comparison study between ASEASE and ASE-Laser-based QRNGs using detailed theoretical modeling and supporting experiments, with the goal of achieving 1 Gbps QRNG using simple, low-bandwidth photodetectors and low sampling rate digitizers. We develop, for the first time to the best of out knowledge, closed-form analytical expressions to describe the signal variance as a function of realistic, nonideal fiber-optic optical components, the signal correlations as a function of digitizer sampling rate, and minimum entropy as a function of signal variance. We observe a trade-off between the correlations in the detected signals and the sampling rate used, thereby obtaining an optimum sampling rate and hence the digitizer specification for extracting the best randomness. We also observe the standard deviation in the signal distribution is higher for ASE-Laser QRNG in comparison to the ASE-ASE implementation. Using off-the-shelf telecom fiber components, balanced detectors with bandwidth as low as 100 MHz, and an 8-bit digitizer operating at a sampling rate of 100 Megasamplesper-second (MSPS), we achieve QRNG rates of 546.03 Mbps and 507.94 Mbps for the ASE-ASE and ASE-Laser beating implementations respectively. The ASE-ASE QRNG rates are subsequently doubled to more than 1 Gbps using polarization multiplexing and bit-interleaving.
We present a photonic approach for fast quantum random number generation based on optically sampled amplified spontaneous emission (ASE). This approach utilizes a terahertz optical asymmetric demultiplexer to sample the ASE and then digitize the sampled optical pulses into random bits using a multi-bit parallel comparator. A proof-of-concept experiment demonstrates that 40 Gb/s random bits with verified randomness can be obtained using our method. The current generation rate is mainly limited by the bandwidth of the available ASE source.
We describe a dual-entropy-source quantum random number generator based on atomic spontaneous emission. Using the intensity fluctuations of a coherent beam to modulate the detuning frequency of the driving field, the atomic ensemble exhibits larger fluctuations of the spontaneous emission noise. The quantum-to-classical-noise ratio of the measured noise is increased to 10.14 dB. After post-processing, a string of random numbers at rates up to 5.12 Mb/s is extracted, which passes all the NIST tests. The presented scheme shows the feasibility to combine multiple independent randomness sources to produce secure quantum random bits.
Quantum random number generators (QRNGs) harness the intrinsic randomness in measurement processes: the measurement outputs are truly random, given the input state is a superposition of the eigenstates of the measurement operators. In the case of trusted devices, true randomness could be generated from a mixed state ρ so long as the system entangled with ρ is well protected. We propose a random number generation scheme based on measuring the quadrature fluctuations of a single mode thermal state using an optical homodyne detector. By mixing the output of a broadband amplified spontaneous emission (ASE) source with a single mode local oscillator (LO) at a beam splitter and performing differential photo-detection, we can selectively detect the quadrature fluctuation of a single mode output of the ASE source, thanks to the filtering function of the LO. Experimentally, a quadrature variance about three orders of magnitude larger than the vacuum noise has been observed, suggesting this scheme can tolerate much higher detector noise in comparison with QRNGs based on measuring the vacuum noise. The high quality of this entropy source is evidenced by the small correlation coefficients of the acquired data. A Toeplitz-hashing extractor is applied to generate unbiased random bits from the Gaussian distributed raw data, achieving an efficiency of 5.12 bits per sample. The output of the Toeplitz extractor successfully passes all the NIST statistical tests for random numbers.