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相关概念视频

Conservation of Linear Momentum for a System of Particles01:28

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In the dynamic realm of billiards, a fascinating interplay of forces governs the motion of cue balls and stationary balls. When the cue ball collides with a stationary ball, linear momentum is exchanged. The cue ball imparts a fraction of its linear momentum to the stationary ball, causing the cue ball to decelerate while initiating the motion of the stationary ball.
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Linear Approximation in Time Domain01:21

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Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
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Imagine a rigid body that is rotating at an angular velocity of ω within an inertial frame of reference. Along with this, picture a second rotating frame that is attached to the body itself. This frame moves along with the body and possesses an angular velocity of Ω. The total moment about the center of mass is calculated by adding the rate of change of angular momentum about the center of mass in relation to the rotating frame and the cross-product of the body's angular velocity...
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A system's total angular momentum remains constant if the net external torque acting on the system is zero. Considering a system that consists of n tiny particles, the angular momentum of any tiny particle may change, but the system's total angular momentum would remain constant. The principle of conservation of angular momentum only considers the net external torque acting on the system. While there are internal forces exerted by different particles within the system that also produce...
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In fluid mechanics, shear stresses arise from viscosity, which represents a fluid's internal resistance to deformation. For low-viscosity fluids, like water, these stresses are minimal, simplifying flow analysis by allowing the fluid to be treated as inviscid, or frictionless. In an inviscid fluid, shear stresses are absent, leaving only normal stresses, which act perpendicularly to fluid elements. Notably, pressure — defined as the negative of the normal stress — remains...
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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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对依赖时间的哈密尔顿量子动力学的自适应式托特化,使用零碎的保存定律.

Hongzheng Zhao1,2,3, Marin Bukov2, Markus Heyl2,4

  • 1School of Physics, <a href="https://ror.org/02v51f717">Peking University</a>, 100871 Beijing, China.

Physical review letters
|July 23, 2024
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概括
此摘要是机器生成的。

本研究介绍了用于数字量子模拟的自适应式Trotterization算法. 它提高了依赖时间的量子系统的精度和管理错误,优于固定步骤方法.

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科学领域:

  • 量子信息科学 量子信息科学
  • 计算物理 计算物理
  • 量子计算是一种量子计算.

背景情况:

  • 数字量子模拟使用Trotterization来用量子门近似时间演变.
  • 目前的量子处理器面临的准确性 (更精细的时间步骤) 和错误率 (更深的电路) 之间的权衡,由于门不完美.
  • 现有的Trotterization方法与时间依赖的哈密尔顿式和累积错误作斗争.

研究的目的:

  • 为更准确的数字量子模拟开发一个自适应的Trotterization算法.
  • 为了解决固定步骤Trotterization在存在门错误和时间依赖系统时的局限性.
  • 提供一种在量子模拟中限制累积错误的方法.

主要方法:

  • 介绍了一个适应式的Trotterization算法,用于时间依赖的哈密尔顿人.
  • 建议使用分段"保存"的数量来估计时间进化错误.
  • 在整个模拟期内开发了一个绑定错误的方案.
  • 在依赖时间的量子自旋链上验证了算法.

主要成果:

  • 适应算法有效地管理时间演变中的错误.
  • 零碎保存的数量为模拟提供了错误界限.
  • 该方法将时间独立的哈密尔顿定律归结为标准的保存定律.
  • 与固定步骤大小的传统Trotter算法相比,证明了更高的性能.

结论:

  • 适应式Trotterization算法为数字量子模拟提供了更高的准确性和可控错误.
  • 这种方法对于杂的中级量子器件 (NISQ) 尤其有利.
  • 该算法提供了一个强大的方法来模拟时间依赖的量子系统.