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Researchers at the Chinese Academy of Sciences have demonstrated a quantum algorithm for analyzing directed graphs that offers theoretical speedups over classical methods in topological data analysis. By designing a universal encoding protocol specifically for data with inherent directional structures, this approach achieves exponential gains under efficient access conditions while providing polynomial improvements for standard inputs. This work advances the field by moving beyond point-cloud-based approaches to directly address networks where relationships possess specific directionality.
Quantum algorithm speeds up analysis of directed graphs

A new quantum algorithm for analyzing directed graphs, called path homology, offers advantages over classical methods.
Researchers at the Chinese Academy of Sciences have demonstrated a quantum algorithm offering advantages over classical methods in topological data analysis. The work, published on August 28, 2026, in Quantum Science and…
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