Part 2/9:
Topological sorting may sound like a niche concept in mathematics, but it plays a pivotal role in the functioning of many technologies we rely on today. It involves the organization of tasks or elements in a sequence dependent on their interconnectedness. For example, in a construction project, tasks such as laying the foundation must precede the installation of windows. This concept underpins activities in machine learning, data analysis, aviation logistics, and secure communications.
Despite its importance, sorting has been traditionally challenging for classical computers, which evaluate potential arrangements Sequentially. As datasets grow in size and complexity, so does the time required to compute the correct order, often leading to slowdowns detrimental to system efficiency.