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Optics Express

Fast physical random number generator using amplified spontaneous emission

Caitlin R. S. Williams, Julia Salevan, Xiaowen Li, Rajarshi Roy, Thomas E. Murphy

Published Oct 26, 2010• 229 citations
Publisher

Abstract

We report a 12.5 Gb/s physical random number generator (RNG) that uses high-speed threshold detection of the spectrally-sliced incoherent light produced by a fiber amplifier. The system generates a large-amplitude, easily measured, fluctuating signal with bandwidth that is constrained only by the optical filter and electrical detector used. The underlying physical process (spontaneous emission) is inherently quantum mechanical in origin, and therefore cannot be described deterministically. Unlike competing optical RNG approaches that require photon counting electronics, chaotic laser cavities, or state-of-the-art analog-to-digital converters, the system employs only commonly available telecommunications-grade fiber optic components and can be scaled to higher speeds or multiplexed into parallel channels. The quality of the resulting random bitstream is verified using industry-standard statistical tests.

DOI
10.1364/oe.18.023584

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We report a 12.5 Gb/s physical random number generator (RNG) that uses high-speed threshold detection of the spectrally-sliced incoherent light produced by a fiber amplifier. The system generates a large-amplitude, easily measured, fluctuating signal with bandwidth that is constrained only by the optical filter and electrical detector used. The underlying physical process (spontaneous emission) is inherently quantum mechanical in origin, and therefore cannot be described deterministically. Unlike competing optical RNG approaches that require photon counting electronics, chaotic laser cavities, or state-of-the-art analog-to-digital converters, the system employs only commonly available telecommunications-grade fiber optic components and can be scaled to higher speeds or multiplexed into parallel channels. The quality of the resulting random bitstream is verified using industry-standard statistical tests.
Abstract We experimentally demonstrate a 12.5 Gb s −1 random number generator based on measuring the spontaneous emission noise of a single-mode semiconductor laser. The spontaneous emission of light is quantum mechanical in nature and is an inborn physical entropy source of true randomness. By combining a high-speed analog-to-digital converter and off-line processing, random numbers are extracted from the spontaneous emission with the verified randomness. The generator is simple, robust, and with no need of accurately tuning the comparison threshold. The use of semiconductor lasers makes it particularly compatible with the delivery of random numbers in optical networks.
We demonstrate for the first time, to the best of our knowledge, a high-speed physical random bit generator at gigabits/second without the time-delay signature based on chaotic power fluctuations of a random fiber laser. The random fiber laser is configured using a ring structure with semiconductor optical amplifiers as the optical gain and a fiber random grating as the random feedback medium. The long-length ring cavity provides a large number of densely spaced cavity modes that co-exist within the gain bandwidth tailored by the optical filter. Unlike fixed cavity modes in conventional fiber ring lasers, these modes are less phase-correlated due to the random distributed feedback from the fiber random grating fabricated by a plane-by-plane inscription technique without phase control, leading to intensified lasing output fluctuations with high-dimensional chaotic dynamic natures without specific cavity features, when the random fiber laser is operated slightly above the lasing threshold. Random bit generation at a bit rate up to ∼1.6 Gbps is achieved with verified randomness through standard tests. Different from the previously reported schemes requiring offline post-processing procedures, this physical random number generator can function in real time, offering high-quality randomness and security assurance for pertinent applications.
Fast and reliable random number generation (RNG) is a key requirement for, e.g., secure telecommunication or quantum simulations. This has driven the development of physical random number generators to replace deterministic, pseudo-random number generators. Semiconductor lasers exhibiting chaotic dynamics induced for example by optical feedback [1] can provide up to 1 Tbit/s, but their speed is ultimately limited by the time scales of the laser dynamics. Parallel RNG via spatial or spectral multiplexing can further increase the speed but previous demonstrations were limited by low intrinsic speed or a small number of channels.
Real-time and ultrafast random number generators (RNGs) based on physical randomness sources are of paramount importance for cryptography and secure communications, where they are used as cryptographic keys to protect the privacy of data transmission. Since 2008, laser chaos has been viewed as the most promising source of randomness for fast RNGs because of its high bandwidth and large fluctuation. However, most of physical RNGs based on laser chaos did their random number extraction in the electrical domain, and thus their real-time rates suffered from the limitation of electronic bottleneck. Combing the chaotic laser with photonic signal processing techniques, we proposed and developed an innovative real-time methodology for ultrafast physical RNGs. Different with previous reports on RNGs, our fully photonic method do the random number extraction in the optical domain, so it efficiently circumvents the electronic bottleneck and has the potential to reach a real-time rate at the level of Tb/s. In this paper, we review our representative works on this topic of fully photonics based physical RNGs and some possible development orientations in the future are discussed.
Amplified spontaneous emission (ASE) noise with inherent quantum nature is promising for true random number generator (TRNG) and secure key generation and distribution (SKGD). A high-speed TRNG and a physical-layer SKGD scheme are proposed and demonstrated using the polarization dynamics of an ASE source. The ASE-based randomness is enhanced in TRNG using digital signal processing on the two orthogonal polarization modes, while the fluctuation of the state of polarization (SOP) in ASE is applied as the random source in SKGD. A 16.8 Tb/s TRNG is successfully demonstrated with spectrum slicing of ASE. An error-free SKGD with a key generation rate (KGR) of 10.1 Gb/s is demonstrated over a 10-km standard single-mode fiber channel.
Abstract We demonstrate a fiber-optic source of random numbers in which random-number generation (RNG) is implemented via an inherently quantum process—detection of correlated photon pairs produced by spontaneous four-wave mixing (FWM) inside an optical fiber. The detection times of individual photon pairs, generated in our RNG scheme via phase-matched FWM in a highly nonlinear photonic-crystal fiber with a suitable dispersion profile, are converted into megabit-size binary sequences, serving as strings of random numbers. The randomness of these bit strings is verified by the National Institute of Standards and Technology Statistical Test Suite. We identify FWM regimes in which mode-locked short-pulse laser sources can provide a high peak power needed to drive photon-pair generation in optical fibers without an excessive loss of randomness due to unwanted patterns in the RNG photon-pair output.