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单词 Topological order
释义

Topological order

中文百科

拓扑排序

在图论中,由一个有向无环图的顶点组成的串行,当且仅当满足下列条件时,称为该图的一个拓扑排序英语:Topological sorting)。

  1. 每个顶点出现且只出现一次;
  2. 若A在串行中排在B的前面,则在图中不存在从B到A的路径。

也可以定义为:拓扑排序是对有向无环图的顶点的一种排序,它使得如果存在一条从顶点A到顶点B的路径,那幺在排序中B出现在A的后面。

英语百科

Topological order 拓扑排序

An idealized band structure for a topological insulator.

In physics, topological order is a kind of order in zero-temperature phase of matter (also known as quantum matter). Macroscopically, topological order is defined/described by robust ground state degeneracy and quantized non-Abelian geometric phases of degenerate ground states (just like superfluid order is defined/described by vanishing viscosity and quantized vorticity). Microscopically, topological order corresponds to patterns of long-range quantum entanglement (just like superfluid order corresponds to boson condensation). States with different topological orders (or different patterns of long range entanglements) cannot change into each other without a phase transition.

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