Towards quantum advantage via topological data analysis. (arXiv:2005.02607v5 [quant-ph] UPDATED)

Even after decades of quantum computing development, examples of generally
useful quantum algorithms with exponential speedups over classical counterparts
are scarce. Recent progress in quantum algorithms for linear-algebra positioned
quantum machine learning (QML) as a potential source of such useful exponential
improvements. Yet, in an unexpected development, a recent series of
"dequantization" results has equally rapidly removed the promise of exponential
speedups for several QML algorithms. This raises the critical question whether
exponential speedups of other linear-algebraic QML algorithms persist. …

analysis arxiv data data analysis quantum quantum advantage