一个超越概率的扩展认识框架,用于量子信息处理,在安全,人工智能和金融计算领域有应用
1Department of Computer Science, University of Salerno, Via Giovanni Paolo II, 132, 84084 Fisciano, SA, Italy.
Entropy (Basel, Switzerland)
|September 27, 2025
概括
这项研究引入了一个新的量子框架,整合了可信性,可信性和更好地模拟不确定性的可能性. 这种增强的方法改善了复杂信息环境中的量子系统分析和决策.
科学领域:
- 量子信息科学 量子信息科学
- 认识论的认识论学.
- 不确定性定量化 不确定性定量化
背景情况:
- 经典概率理论在量子系统中与非科尔摩戈罗夫现象作斗争.
- 部分,杂或模两可的信息挑战了传统的决策模式.
- 像QBism这样的现有量子框架在捕捉各种不确定性测量方面存在局限性.
研究的目的:
- 提出一种新的量子知情认识框架,扩展经典概率.
- 将可信性,可信性和可能性作为不同的不确定性衡量标准整合在一起.
- 为量子系统和在模两可的信息下进行决策开发一个强大的模型.
主要方法:
- 开发了一个丰富的四倍数 (P, Pl, Cr, Ps) 用于不确定性表征.
- 使用多值逻辑将Born规则推广,并将POVM与估计器联系起来.
- 构建了一个混合的经典-量子推理引擎,用于四倍的矢量聚合.
主要成果:
- 该框架成功地模拟了诸如纠和上下文性之类的非科尔摩戈罗维亚量子现象.
- 混合推理引擎增强了超越经典概率的稳定性和语义表达性.
- 在应用程序中的准确性,噪声弹性,可解释性和决策稳定性方面表现出卓越的性能.
结论:
- 拟议的量子知情认识框架为不确定性提供了一个强大的新范式.
- 它的性能优于量子网络安全,量子人工智能和金融计算领域的现有方法.
- 奠定了超越传统概率模型的认识量子计算的基础.
相关概念视频
Propagation of Uncertainty from Random Error
1.8K
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...
1.8K
Propagation of Uncertainty from Systematic Error
1.4K
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...
1.4K
The Uncertainty Principle
31.3K
Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He...
31.3K
Applications of Integration to Probability Density Functions
8
Continuous probability distributions are used to model random variables that can take on any real value within a specified range. These variables do not take on isolated or countable values but rather exist on a continuum. For example, the height of an individual can be measured with increasing precision—such as 163.5 or 165.25 centimeters—demonstrating that height is a continuous random variable.The behavior of such variables is described using a probability density function (PDF),...
8
Uncertainty: Overview
1.6K
In analytical chemistry, we often perform repetitive measurements to detect and minimize inaccuracies caused by both determinate and indeterminate errors. Despite the cares we take, the presence of random errors means that repeated measurements almost never have exactly the same magnitude. The collective difference between these measurements - observed values - and the estimated or expected value is called uncertainty. Uncertainty is conventionally written after the estimated or expected value.
1.6K
The Quantum-Mechanical Model of an Atom
56.6K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
56.6K

