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arXiv · 2410.18922

How to Design a Quantum Streaming Algorithm Without Knowing Anything About Quantum Computing

John Kallaugher·Ojas Parekh·Nadezhda Voronova
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Abstract

A series of work [GKK+08, Kal22, KPV24] has shown that asymptotic advantages in space complexity are possible for quantum algorithms over their classical counterparts in the streaming model. We give a simple quantum sketch that encompasses all these results, allowing them to be derived from entirely classical algorithms using our quantum sketch as a black box. The quantum sketch and its proof of correctness are designed to be accessible to a reader with no background in quantum computation, relying on only a small number of self-contained quantum postulates.

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John Kallaugher, Ojas Parekh, Nadezhda Voronova. 2024-10-24. How to Design a Quantum Streaming Algorithm Without Knowing Anything About Quantum Computing. https://arxiv.org/abs/2410.18922

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