论文标题

结强度分布:纠缠的局部度量

Knot intensity distribution: a local measure of entanglement

论文作者

Barbensi, Agnese, Celoria, Daniele

论文摘要

找到在嵌入式曲线中定位纠缠的鲁棒和有效方法的问题与应用和理论研究有关。我们没有专注于确定的确定,而是引入了结强度分布,这是曲线区域对全球纠缠的贡献的局部量化器。分布的积分产生了结的紧密度。我们计算理想结的分布,并研究其在素数和复合随机结上的行为。强度分布提供了一种定位纠缠的有效方法。特别是,他们确定了适应导致拓扑变化的段落中的区域。

The problem of finding robust and effective methods for locating entanglement in embedded curves is relevant to both applications and theoretical investigations. Rather than focusing on an exact determination, we introduce the knot intensity distribution, a local quantifier for the contribution of a curve's region to global entanglement. The integral of the distribution yields a measure of tightness for knots. We compute the distribution for ideal knots, and study its behaviour on prime and composite random knots. Intensity distributions provide an effective method to locate entanglement. In particular, they identify regions in knots that accommodate passages leading to topological changes.

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