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相关概念视频

The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

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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.
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Ampere-Maxwell's Law: Problem-Solving01:17

Ampere-Maxwell's Law: Problem-Solving

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A parallel-plate capacitor with capacitance C, whose plates have area A and separation distance d, is connected to a resistor R and a battery of voltage V. The current starts to flow at t = 0. What is the displacement current between the capacitor plates at time t? From the properties of the capacitor, what is the corresponding real current?
To solve the problem, we can use the equations from the analysis of an RC circuit and Maxwell's version of Ampère's law.
For the first part of...
643
Quantum Numbers02:43

Quantum Numbers

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It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
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Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

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Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
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Maxwell-Boltzmann Distribution: Problem Solving01:20

Maxwell-Boltzmann Distribution: Problem Solving

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Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
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Quantitative Analysis01:12

Quantitative Analysis

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Quantitative analysis is a technique for measuring the amount of specific constituents in a sample. When the sample's composition is unknown, qualitative analysis is performed first to identify its components, which ensures that the correct substances are measured during the quantitative phase.
In quantitative analysis, two key measurements are made: the sample quantity and a property proportional to the amount of the analyte (the substance being analyzed). This forms the basis of the...
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相关实验视频

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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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通过量子计算优化投资组合的最佳实践,在真实量子设备上进行实验.

Giuseppe Buonaiuto1, Francesco Gargiulo1, Giuseppe De Pietro1

  • 1Institute for High Performance Computing and Networking (ICAR), National Research Council of Italy (CNR), 80131, Naples, Italy.

Scientific reports
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PubMed
概括

这项研究探讨了用于投资组合优化的量子计算,发现变量量子Eigensolver (VQE) 可以在量子硬件上实现适当的超参数调整,从而实现近乎精确的解决方案. 该研究确定了VQE的最佳设置,以提高金融投资组合管理的效率.

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科学领域:

  • 量子计算是一种量子计算.
  • 计算金融是指计算金融.
  • 优化算法 优化算法

背景情况:

  • 投资组合优化面临着可扩展性挑战,随着市场尺寸的增加.
  • 量子计算为克服金融领域的计算复杂性提供了一个潜在的解决方案.
  • 经典的优化方法与大规模的,受约束的二次问题作斗争.

研究的目的:

  • 解决投资组合优化问题使用变量量子Eigensolver (VQE).
  • 在真实量子计算机上的投资组合优化中识别和定义VQE的最佳超参数.
  • 评估VQE在金融应用中的性能和可扩展性.

主要方法:

  • 制定受约束的二次级投资组合优化问题.
  • 将问题转换为使用二进制编码的二进制不受约束的二进制优化 (QUBO).
  • 将 QUBO 问题转换为用于量子计算的伊辛哈密尔顿式.
  • 使用变量量子自身解决器 (VQE) 找到最小自身值 (最佳解决方案).
  • 在模拟器和真实量子设备上尝试各种方法和优化方法.

主要成果:

  • VQE的性能高度依赖于量子硬件的大小和超参数选择.
  • 最佳的超参数选择使真实设备上的VQE能够达到接近精确的解决方案.
  • 量子算法证明了对经典解决方案的强烈趋同,即使没有错误减轻.
  • 解决方案质量与量子处理器维度相关,如不同量子设备所示.
  • 该研究提供了基于VQE的投资组合优化最佳实践的证据.

结论:

  • 变量量子Eigensolver (VQE) 是量子计算机上投资组合优化的可行和高效方法.
  • 仔细选择超参数和足够的量子硬件对于获得高质量的结果至关重要.
  • 量子计算,特别是VQE,作为硬件尺度,有望实现更高效的财务优化.