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arXiv:2108.08743

Proposal for a quantum random number generator using coherent light an a non-classical observable

Christopher C. Gerry, Richard J. Birrittella, Paul M. Alsing, Hossameldin, Amr, Eaton, Miller, Olivier Pfister

Published Aug 19, 2021• 0 citations
arXivHTMLPDF

Abstract

The prototype quantum random number (random bit) generators (QRNG) consists of one photon at a time falling on a $50:50$ beam splitter followed by random detection in one or the other other output beams due to the irreducible probabilistic nature of quantum mechanics. Due to the difficulties in producing single photons on demand, in practice, pulses of weak coherent (laser) light are used. In this paper we take a different approach, one that uses moderate coherent light. It is shown that a QRNG can be implemented by performing photon-number parity measurements. For moderate coherent light, the probabilities for obtaining even or odd parity in photon counts are $0.5$ each. Photon counting with single-photon resolution can be performed through use of a cascade of beam splitters and single-photon detectors as was done recently in a photon-number parity-based interferometry experiment involving coherent light.

DOI
10.48550/arxiv.2108.08743

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The prototype quantum random number (random bit) generators (QRNG) consists of one photon at a time falling on a 50:5050:5050:50 beam splitter followed by random detection in one or the other other output beams due to the irreducible probabilistic nature of quantum mechanics. Due to the difficulties in producing single photons on demand, in practice, pulses of weak coherent (laser) light are used. In this paper we take a different approach, one that uses moderate coherent light. It is shown that a QRNG can be implemented by performing photon-number parity measurements. For moderate coherent light, the probabilities for obtaining even or odd parity in photon counts are 0.50.50.5 each. Photon counting with single-photon resolution can be performed through use of a cascade of beam splitters and single-photon detectors as was done recently in a photon-number parity-based interferometry experiment involving coherent light.
The prototype quantum random number (random bit) generator (QRNG) consists of one photon at a time falling on a 50:50 beam splitter followed by random detection in one or the other output beams due to the irreducible probabilistic nature of quantum mechanics. Due to the difficulties in producing single photons on demand, in practice, pulses of weak coherent (laser) light are used. In this paper, we take a different approach, one that uses moderate coherent light. It is shown that a QRNG can be implemented by performing photon-number parity measurements. For moderate coherent light, the probabilities of obtaining even or odd parity in photon counts are 0.5 each. Photon counting with single-photon resolution can be performed through use of a cascade of beam splitters and single-photon detectors, as was done recently in a photon-number parity-based interferometry experiment involving coherent light. We highlight the point that unlike most quantum-based random number generators, our proposal does not require the use of classical de-biasing algorithms or post-processing of the generated bit sequence.
Abstract One of the most fundamental quantum random number generators is implemented with light impinging onto a beam splitter, and two single photon detectors at its output. Often, this generator is described as “a photon which takes one or other path towards a detector”. The input state of light in conjunction with the detector response is relevant for the amount, the pattern, and the correlation of the generated clicks. Only a fraction of all generator outcomes, the min‐entropy, can be used as a further resource for true randomness. This paper addresses the difference in the common description with incoming single photons and the often implemented scheme with a weak coherent light source, such as an attenuated laser. For this very fundamental and widely used configuration the amount of usable entropy is compared. If single photons from an anti‐bunched light source are supplied, the amount of entropy is higher than for the case of a supplied coherent state – although the latter can be arbitrarily bright unlike the single photon source. image
A quantum random number generator (QRNG) based on the quantum nature of vacuum fluctuations allows one to obtain random bit sequences that can be used in applications that require a high degree of randomness.In that type of quantum random generation system, optical beam splitters with two inputs and two outputs are normally used.A comparison of Y-splitter and spatial beam splitters shows that for two types of optical splitters, the quantum mathematical description of output signals is identical.This allows the use of fiber Y-splitters in practical QRNG schemes.The possibility of generating true random bits was demonstrated experimentally by using quantum random number generator based on homodyne detection.
We propose and demonstrate a technique for quantum random number generation based on the random population of the output spatial modes of a beam splitter when both inputs are simultaneously fed with indistinguishable weak coherent states. We simulate and experimentally validate the probability of generation of random bits as a function of the average photon number per input, and compare it to the traditional approach of a single weak coherent state transmitted through a beam-splitter, showing an improvement of up to 32%. The ensuing interference phenomenon reduces the probability of coincident counts between the detectors associated with bits 0 and 1, thus increasing the probability of occurrence of a valid output. A long bit string is assessed by a standard randomness test suite with good confidence. Our proposal can be easily implemented and opens attractive performance gains without a significant trade-off.
Quantum random number generators (QRNG) have important applications in cryptographic protocols, gaming and lotteries, among others. In contrast to pseudo-random number generators based on software, the sequence of random numbers generated is truly random. Most QRNG found in the literature are based on optoelectronic devices like single-photon sources and single-photon detectors. In this direction, the present dissertation deals with the theory and experiment QRNG based photonic systems, taking into account QRNG using discrete and continuous variables. In particular, three issues were considered: 1) a new model of continuous variable QRNG based on light polarization was proposed. 2) The performance of a QRNG employing only one single-photon detector, taking into account the afterpulsing and the quantum light state used, coherent or thermal, was realized. 3) A QRNG with binomial distribution was built.