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arXiv 1502.05882quant-ph
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光子产生的随机数有多随机?

How random are random numbers generated using photons?

Aldo Solis, Alí M. Angulo Martinez, Roberto Ramírez Alarcón, Hector Cruz Ramírez, Alfred B. U'Ren, Jorge G. Hirsch

摘要:

随机性是量子理论的基础,具有许多哲学和实践意义。在本文中,我们讨论了算法随机性的概念,它提供了一个定量的方法来评估一个给定的数字序列的Borel正态性,它被认为是随机的一个必要条件。我们使用Borel正规性作为工具来研究由自发参数下转换产生的光子对的检测时间之间的差异所产生的十个比特序列的随机性。这些序列被证明满足随机性标准,没有困难。由于在以前的工作中已经报道了光子产生的随机数序列从Borel正态性的偏差,因此概述了理解这些分歧结果的策略。

英文摘要:

Randomness is fundamental in quantum theory, with many philosophical and practical implications. In this paper we discuss the concept of algorithmic randomness, which provides a quantitative method to assess the Borel normality of a given sequence of numbers, a necessary condition for it to be considered random. We use Borel normality as a tool to investigate the randomness of ten sequences of bits generated from the differences between detection times of photon pairs generated by spontaneous parametric downconversion. These sequences are shown to fulfil the randomness criteria without difficulties. As deviations from Borel normality for photon-generated random number sequences have been reported in previous work, a strategy to understand these diverging findings is outlined.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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