Generation of True Quantum Random Numbers with On-Demand Probability Distributions via Single-Photon Quantum Walks

Fuente: arXiv
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Hauptverfasser: Meng, Chaoying, Cai, Miao, Yang, Yufang, Wu, Haodong, Li, Zhixiang, Ruan, Yaping, Zhang, Yong, Zhang, Han, Xia, Keyu, Nori, Franco
Format: Preprint
Veröffentlicht: 2024
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author Meng, Chaoying
Cai, Miao
Yang, Yufang
Wu, Haodong
Li, Zhixiang
Ruan, Yaping
Zhang, Yong
Zhang, Han
Xia, Keyu
Nori, Franco
author_facet Meng, Chaoying
Cai, Miao
Yang, Yufang
Wu, Haodong
Li, Zhixiang
Ruan, Yaping
Zhang, Yong
Zhang, Han
Xia, Keyu
Nori, Franco
contents Random numbers are at the heart of diverse fields, ranging from simulations of stochastic processes to classical and quantum cryptography. The requirement for true randomness in these applications has motivated various proposals for generating random numbers based on the inherent randomness of quantum systems. The generation of true random numbers with arbitrarily defined probability distributions is highly desirable for applications, but it is very challenging. Here we show that single-photon quantum walks can generate multi-bit random numbers with on-demand probability distributions, when the required ``coin'' parameters are found with the gradient descent (GD) algorithm. Our theoretical and experimental results exhibit high fidelity for various selected distributions. This GD-enhanced single-photon system provides a convenient way for building flexible and reliable quantum random number generators. Multi-bit random numbers are a necessary resource for high-dimensional quantum key distribution.
format Preprint
id arxiv_https___arxiv_org_abs_2403_02614
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Generation of True Quantum Random Numbers with On-Demand Probability Distributions via Single-Photon Quantum Walks
Meng, Chaoying
Cai, Miao
Yang, Yufang
Wu, Haodong
Li, Zhixiang
Ruan, Yaping
Zhang, Yong
Zhang, Han
Xia, Keyu
Nori, Franco
Quantum Physics
Optics
Random numbers are at the heart of diverse fields, ranging from simulations of stochastic processes to classical and quantum cryptography. The requirement for true randomness in these applications has motivated various proposals for generating random numbers based on the inherent randomness of quantum systems. The generation of true random numbers with arbitrarily defined probability distributions is highly desirable for applications, but it is very challenging. Here we show that single-photon quantum walks can generate multi-bit random numbers with on-demand probability distributions, when the required ``coin'' parameters are found with the gradient descent (GD) algorithm. Our theoretical and experimental results exhibit high fidelity for various selected distributions. This GD-enhanced single-photon system provides a convenient way for building flexible and reliable quantum random number generators. Multi-bit random numbers are a necessary resource for high-dimensional quantum key distribution.
title Generation of True Quantum Random Numbers with On-Demand Probability Distributions via Single-Photon Quantum Walks
topic Quantum Physics
Optics
url https://arxiv.org/abs/2403.02614