Imperfect Measurement Devices Impact the Security of Tomography-Based Source-Independent Quantum Random Number Generator

IF 4.4 Q1 OPTICS Advanced quantum technologies Pub Date : 2024-09-09 DOI:10.1002/qute.202400334
Yuanhao Li, Yangyang Fei, Weilong Wang, Xiangdong Meng, Hong Wang, Qianheng Duan, Yu Han, Zhi Ma
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Abstract

Source-independent quantum random number generators (SI-QRNGs) can generate secure random numbers with untrusted and uncharacterized sources. Recently, a tomography-based SI-QRNG protocol has garnered significant attention for its higher randomness generation rate[Phys. Rev. A 99, 022328 (2019)], achieved through measurements utilizing three mutually unbiased bases. However, imperfect and inadequately characterized measurement devices would impact the security and performance of this protocol. In this work, considering the imperfect basis modulation, afterpulse effect and detection efficiency mismatch, it is demonstrated that the imperfect measurement devices would reduce the extractable randomness and lead to the incorrect estimation of the conditional min-entropy. Additionally, the influences of the finite-size effect and the performances of the protocol based on different parameter estimation methods are investigated and compared. To guarantee the security of generated random numbers, accurate conditional min-entropy estimation methods that are compatible with imperfect factors are also developed. The work emphasizes the significance of considering the imperfections in measurement devices and establishing tighter bounds for parameter estimation, especially in high-speed systems, thereby enhancing the robustness and performance of the protocol.

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不完善的测量设备影响基于断层扫描的源无关量子随机数发生器的安全性
独立于来源的量子随机数发生器(SI-QRNG)可以用不可信和未表征的来源生成安全的随机数。最近,一种基于层析成像的 SI-QRNG 协议因其较高的随机性生成率而备受关注[Phys. Rev. A 99, 022328 (2019)],该协议是通过利用三个互不偏倚的基础进行测量而实现的。然而,不完善和特性不足的测量设备会影响该协议的安全性和性能。在这项工作中,考虑到不完善的基础调制、后脉冲效应和检测效率不匹配,证明了不完善的测量设备会降低可提取的随机性,并导致对条件最小熵的不正确估计。此外,还研究并比较了有限大小效应的影响以及基于不同参数估计方法的协议性能。为了保证生成随机数的安全性,还开发了与不完全因子兼容的精确条件最小熵估计方法。这项工作强调了考虑测量设备中的不完美因素和建立更严格的参数估计边界的重要性,尤其是在高速系统中,从而提高了协议的鲁棒性和性能。
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Front Cover: Laser Beam Induced Charge Collection for Defect Mapping and Spin State Readout in Diamond (Adv. Quantum Technol. 12/2024) Inside Front Cover: Numerical Investigation of a Coupled Micropillar - Waveguide System for Integrated Quantum Photonic Circuits (Adv. Quantum Technol. 12/2024) Back Cover: Purity-Assisted Zero-Noise Extrapolation for Quantum Error Mitigation (Adv. Quantum Technol. 12/2024) Issue Information (Adv. Quantum Technol. 12/2024) Issue Information (Adv. Quantum Technol. 11/2024)
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