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相关概念视频

Differential Form of Maxwell's Equations01:17

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James Clerk Maxwell (1831–1879) was one of the significant contributors to physics in the nineteenth century. He is probably best known for having combined existing knowledge of the laws of electricity and the laws of magnetism with his insights to form a complete overarching electromagnetic theory, represented by Maxwell's equations. The four basic laws of electricity and magnetism were discovered experimentally through the work of physicists such as Oersted, Coulomb, Gauss, and...
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In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
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Understanding the stability of equilibrium configurations is a fundamental part of mechanical engineering. In any system, there are three distinct types of equilibrium: stable, neutral, and unstable.
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Transmission lines are essential components of electrical power systems. They are characterized by the distributed nature of resistance (R), inductance (L), and capacitance (C) per unit length. To analyze these lines, differential equations are employed to model the variations in voltage and current along the line.
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使用微分进化来避免局部最小值在变量量子算法.

Daniel Faílde1, José Daniel Viqueira2,3, Mariamo Mussa Juane2

  • 1Centro de Supercomputación de Galicia (CESGA), 15705, Santiago de Compostela, Spain. dfailde@cesga.es.

Scientific reports
|September 27, 2023
PubMed
概括
此摘要是机器生成的。

微分进化 (DE) 为变量量子算法 (VQA) 提供了一个无梯度的优化方法,克服了局部最小值和荒的高原. 与传统优化器相比,DE在量子模拟中显著提高了成功率.

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科学领域:

  • 量子计算是一种量子计算.
  • 计算优化计算优化

背景情况:

  • 变量量子算法 (VQA) 是NISQ时代量子计算的前景.
  • 维卡面临着局部最小值和荒高原的挑战,阻碍了可扩展性.
  • 梯度依赖优化器与这些VQA优化问题作斗争.

研究的目的:

  • 调查VQAs的替代优化方法.
  • 将差异演变 (DE) 算法应用于VQA优化.
  • 评估DE对局部最小值和消失梯度的弹性.

主要方法:

  • 应用差分演变 (DE) 到变量量子自溶解器 (VQE) 的优化.
  • 将DE与最先进的局部优化器 (SLSQP,COBYLA,L-BFGS-B,SPSA) 进行比较.
  • 在1D Ising链和1D Hubbard模型上评估性能.

主要成果:

  • 在VQA优化中,DE在VQA优化中始终优于本地优化器.
  • 在14量子位1D Ising链中,DE实现了基态100%的成功率,而局部优化器的成功率为~40%.
  • 将DE与局部优化器相结合,提高了能源估计的准确性.
  • DE在更复杂的问题上表现出有效性,比如1D哈巴德模型.

结论:

  • 差异进化是一个强大的和有效的优化器,用于变量量子算法.
  • 在VQAs中,DE克服了局部最小值和贫高原等关键限制.
  • 德为推进量子计算应用提出了一个可行的战略.