生成伪随机离散概率分布
Generating pseudo-random discrete probability distributions
摘要：
伪随机离散概率分布的产生对于从蒙特卡罗方法到用于量子信息科学研究的量子态的随机采样的广泛的随机模拟是至关重要的。尽管它的意义，一个彻底的阐述这样一个程序是缺乏在文献中。在这篇文章中，我们提出了有关的数值实现和适用性，我们称之为iid，规范化和三角方法生成一个无偏的概率向量$\mathbf{p}=(p_{1},\cdots,p_{d})$的相关细节。本文还描述了这些结果在产生伪随机纯量子态方面的直接应用。
英文摘要：
The generation of pseudo-random discrete probability distributions is of paramount importance for a wide range of stochastic simulations spanning from Monte Carlo methods to the random sampling of quantum states for investigations in quantum information science. In spite of its significance, a thorough exposition of such a procedure is lacking in the literature. In this article we present relevant details concerning the numerical implementation and applicability of what we call the iid, normalization, and trigonometric methods for generating an unbiased probability vector $\mathbf{p}=(p_{1},\cdots,p_{d})$. An immediate application of these results regarding the generation of pseudo-random pure quantum states is also described.
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。
