Sept. 28, 2022, 1:13 a.m. | Ismail Yunus Akhalwaya, Shashanka Ubaru, Kenneth L. Clarkson, Mark S. Squillante, Vishnu Jejjala, Yang-Hui He, Kugendran Naidoo, Vasileios Kalantzis,

cs.LG updates on arXiv.org arxiv.org

Topological data analysis (TDA) is a powerful technique for extracting
complex and valuable shape-related summaries of high-dimensional data. However,
the computational demands of classical TDA algorithms are exorbitant, and
quickly become impractical for high-order characteristics. Quantum computing
promises exponential speedup for certain problems. Yet, many existing quantum
algorithms with notable asymptotic speedups require a degree of fault tolerance
that is currently unavailable. In this paper, we present NISQ-TDA, the first
fully implemented end-to-end quantum machine learning algorithm needing only a …

arxiv computers quantum quantum advantage quantum computers

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