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Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If...
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伪混乱的多体动力学作为一个伪随机状态发生器.

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概括

研究人员发现了伪混乱动力学,一种新的量子行为,在计算上无法与量子混乱区分. 这为创造量子信息处理所必需的伪随机量子状态提供了有效的方法.

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科学领域:

  • 量子信息科学 量子信息科学
  • 量子多体动力学是什么?
  • 量子混沌理论 量子混沌理论

背景情况:

  • 量子混沌对于理解量子动力学和生成量子信息任务的随机量子状态至关重要.
  • 现有的检测量子混沌的方法,就像时间外排序的相关系数一样,无法区分伪混沌动态和真正的混沌.
  • 哈尔随机状态是量子信息的关键资源,但高效地生成它们仍然是一个挑战.

研究的目的:

  • 介绍一个新的量子多体动力学类别,称为伪混沌动力学.
  • 证明伪混沌动力学可以产生与哈尔随机状态无法区分的伪随机状态.
  • 建立使用伪混沌动态创建伪随机状态的有效方法.

主要方法:

  • 通过将一个较小的k-量子比特子系统嵌入到一个更大的n-量子比特系统中,构建了伪混乱的动态.
  • 表明k = ω(log n的子系统大小足以诱导n-量子比特系统中的伪混乱行为.
  • 设计了一个量子电路,表现出具有多逻辑 (n) 深度的伪混沌动态.

主要成果:

  • 伪混乱动力学被确定为量子动力学的新类.
  • 发现时间外排序的相关系数无法区分伪混沌动态与真正的量子混沌.
  • 开发的量子电路有效地产生伪随机状态.
  • 一个 k = ω(log n 的子系统大小被证明足以产生伪混乱的行为.

结论:

  • 伪混沌动力学提供了一个计算上无法区分的替代品,而不是真正的量子混乱.
  • 这一发现为生成伪随机量子态提供了有效的路线.
  • 这些发现有助于更好地理解量子动力学和用于量子信息处理的资源生成.