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Hybridization of Atomic Orbitals I03:24

Hybridization of Atomic Orbitals I

47.1K
The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
47.1K
Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

656
In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis.
656
Hybridization of Atomic Orbitals II03:35

Hybridization of Atomic Orbitals II

32.3K
sp3d and sp3d 2 Hybridization
32.3K
Gain01:15

Gain

181
Gain and phase shift are properties of linear circuits that describe the effect a circuit has on a sinusoidal input voltage or current. The circuit's behavior that contains reactive elements will depend on the frequency of the input sinusoid. As a result, it is observed that the gain and phase shift will all be frequency functions.
Gain:
Suppose Vin is the input and Vout is the output signal to a circuit.
181
State Space Representation01:27

State Space Representation

209
The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...
209
Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

958
NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of...
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相关实验视频

Updated: Jul 6, 2025

Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

12.9K

通过逆量子和H-Gain特征进行初始状态编码.

Elijah Pelofske1, Georg Hahn2, Hristo Djidjev1,3

  • 1CCS-3 Information Sciences, Los Alamos National Laboratory, Los Alamos, NM 87545 USA.

IEEE transactions on quantum engineering
|January 5, 2024
PubMed
概括
此摘要是机器生成的。

本研究探讨了D波量子炉的反 (RA) 和h-gain (HG) 特性,以改进优化解决方案. 在某些问题上,h-gain技术为反提供了一个可行的替代方案.

关键词:
附录的时间表.贝叶斯优化的贝叶斯优化在 D-波浪中.伊辛格模型是一个模型.库博 (Qubo) 是一个古老的岛屿.h-收益 (HG) 是指h-收益 (HG) 是指一个最大的切割最大切割.量子化 (QA) 是指量子化 (QA) 的方法.反向化 (RA) 是一种反向化.

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相关实验视频

Last Updated: Jul 6, 2025

Gradient Echo Quantum Memory in Warm Atomic Vapor
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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
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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:

  • D-Wave量子化器为优化提供云访问量子化.
  • 提高量子化中的溶液质量是一个活跃的研究领域.

研究的目的:

  • 通过编码初始状态来提高量子化器溶液质量的方法.
  • 为了比较逆 (RA) 和h-gain (HG) 特性对于初始状态编码的有效性.

主要方法:

  • 探索D-Wave的反 (RA) 功能,用于提炼溶液.
  • 使用h-gain (HG) 特性从特定的初始状态偏向化.
  • 开发和测试混合RA-HG方法和代应用这两种技术.
  • 对最大切割和最大点击等组合优化问题的评估,以及使用D-Wave硬件对旋转眼镜的评估.

主要成果:

  • 该h-gain (HG) 特性被证明是量子化中初始状态编码的RA的可行替代品.
  • RA和HG的代应用显示了单调改进解决方案的潜力.
  • 在各种问题和D-Wave硬件架构 (Chimera,Pegasus) 上分析了代RA和HG的性能.

结论:

  • 在量子化中,RA和HG都有效用于初始状态编码.
  • 这些技术的代应用可以带来越来越好的解决方案.
  • HG 是对 RA 的一个有希望的替代品或补充,用于优化量子化器上的问题解决.