半设备独立的随机性扩展使用n→1平价无视的量子随机访问代码
Xunan Wang1, Xu Chen2, Mengke Xu1
1College of Information Engineering, China Jiliang University, Hangzhou 310018, China.
Entropy (Basel, Switzerland)
|July 29, 2025
概括
这项研究引入了一种新方法,用于使用平价隐形量子随机访问代码 (PO-QRAC) 产生安全的量子随机性. 该协议增强了随机性认证,并优于以前的方法,特别是在n=4.4的情况下.
科学领域:
- 量子信息科学 量子信息科学
- 量子密码学 量子密码学
- 量子力学的基础 量子力学的基础
背景情况:
- 量子力学提供了真正的随机性,因为固有的不确定性.
- 独立于设备 (DI) 和半独立于设备 (SDI) 的框架确保了对设备缺陷的随机性安全性.
- 随机性的认证依赖于违反广义的贝尔不等式.
研究的目的:
- 提出一种新的SDI随机性扩展协议,使用n→1的平价隐形量子随机访问代码 (PO-QRAC).
- 通过违反一个二维量子见证来证明真实量子随机性的存在.
- 分析拟议协议的性能和随机性认证能力.
主要方法:
- 基于PO-QRAC的SDI随机性扩展协议的开发.
- 对n的各种值的最大预期成功概率的推导.
- 建立可证明的最小和量子证值之间的分析关系.
主要成果:
- 拟议的协议通过二维量子证人违规证明了量子随机性.
- 对于n=4,预期的成功概率超过了现有的上限.
- PO-QRAC 协议证实给定的证人值比标准 QRAC 更多的随机性.
- 3→1 PO-QRAC配置在平价-忽略性约束下显示了最佳的随机性扩展性能.
结论:
- 新的SDI协议有效地扩展和证明了量子随机性.
- 与标准QRAC相比,PO-QRAC提供了增强的随机性认证.
- 3→1 PO-QRAC 提供了在研究框架内随机性扩展的最佳方法.
相关概念视频
Propagation of Uncertainty from Random Error
1.1K
An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
1.1K
Random Variables
13.4K
A random variable is a single numerical value that indicates the outcome of a procedure. The concept of random variables is fundamental to the probability theory and was introduced by a Russian mathematician, Pafnuty Chebyshev, in the mid-nineteenth century.
Uppercase letters such as X or Y denote a random variable. Lowercase letters like x or y denote the value of a random variable. If X is a random variable, then X is written in words, and x is given as a number.
For example, let X = the...
Uppercase letters such as X or Y denote a random variable. Lowercase letters like x or y denote the value of a random variable. If X is a random variable, then X is written in words, and x is given as a number.
For example, let X = the...
13.4K
Randomized Experiments
7.2K
The randomization process involves assigning study participants randomly to experimental or control groups based on their probability of being equally assigned. Randomization is meant to eliminate selection bias and balance known and unknown confounding factors so that the control group is similar to the treatment group as much as possible. A computer program and a random number generator can be used to assign participants to groups in a way that minimizes bias.
Simple randomization
Simple...
Simple randomization
Simple...
7.2K
Random Sampling Method
12.4K
Sampling is a technique to select a portion (or subset) of the larger population and study that portion (the sample) to gain information about the population. Data are the result of sampling from a population. The sampling method ensures that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest. Among the various sampling methods used by...
12.4K
Propagation of Uncertainty from Systematic Error
887
The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this...
887
Law of Independent Assortment
56.6K
While Mendel’s Law of Segregation states that the two alleles for one gene are separated into different gametes, a different question of how different genes are inherited remains. For example, is the gene for tall plants inherited with the gene for green peas? Mendel asked this question by experimenting with a dihybrid cross; a cross in which both parents are homozygous for two distinct traits resulting in an F1 generation that are heterozygous for both traits.
56.6K


