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

Fuente: arXiv
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Autori principali: Kallaugher, John, Parekh, Ojas, Voronova, Nadezhda
Natura: Preprint
Pubblicazione: 2024
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author Kallaugher, John
Parekh, Ojas
Voronova, Nadezhda
author_facet Kallaugher, John
Parekh, Ojas
Voronova, Nadezhda
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2410_18922
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle How to Design a Quantum Streaming Algorithm Without Knowing Anything About Quantum Computing
Kallaugher, John
Parekh, Ojas
Voronova, Nadezhda
Quantum Physics
Data Structures and Algorithms
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.
title How to Design a Quantum Streaming Algorithm Without Knowing Anything About Quantum Computing
topic Quantum Physics
Data Structures and Algorithms
url https://arxiv.org/abs/2410.18922