The vast world of quantum advantage

Fuente: arXiv
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Autores principales: Huang, Hsin-Yuan, Choi, Soonwon, McClean, Jarrod R., Preskill, John
Formato: Preprint
Publicado: 2025
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author Huang, Hsin-Yuan
Choi, Soonwon
McClean, Jarrod R.
Preskill, John
author_facet Huang, Hsin-Yuan
Choi, Soonwon
McClean, Jarrod R.
Preskill, John
contents The quest to identify quantum advantages lies at the heart of quantum technology. While quantum devices promise extraordinary capabilities, from exponential computational speedups to unprecedented measurement precision, distinguishing genuine advantages from mere illusions remains a formidable challenge. In this endeavor, quantum theorists are like prophets attempting to foretell the future, yet the boundary between visionary insight and unfounded fantasy is perilously thin. In this perspective, we examine our mathematical tools for navigating the vast world of quantum advantages across computation, learning, sensing, and communication. We explore five keystone properties: predictability, typicality, robustness, verifiability, and usefulness that define an ideal quantum advantage, and envision what new quantum advantages could arise in a future with ubiquitous quantum technology. We prove that some quantum advantages are inherently unpredictable using classical resources alone, suggesting a landscape far richer than what we can currently foresee. While mathematical rigor remains our indispensable guide, the ultimate power of quantum technologies may emerge from advantages we cannot yet conceive.
format Preprint
id arxiv_https___arxiv_org_abs_2508_05720
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The vast world of quantum advantage
Huang, Hsin-Yuan
Choi, Soonwon
McClean, Jarrod R.
Preskill, John
Quantum Physics
Computational Complexity
Information Theory
The quest to identify quantum advantages lies at the heart of quantum technology. While quantum devices promise extraordinary capabilities, from exponential computational speedups to unprecedented measurement precision, distinguishing genuine advantages from mere illusions remains a formidable challenge. In this endeavor, quantum theorists are like prophets attempting to foretell the future, yet the boundary between visionary insight and unfounded fantasy is perilously thin. In this perspective, we examine our mathematical tools for navigating the vast world of quantum advantages across computation, learning, sensing, and communication. We explore five keystone properties: predictability, typicality, robustness, verifiability, and usefulness that define an ideal quantum advantage, and envision what new quantum advantages could arise in a future with ubiquitous quantum technology. We prove that some quantum advantages are inherently unpredictable using classical resources alone, suggesting a landscape far richer than what we can currently foresee. While mathematical rigor remains our indispensable guide, the ultimate power of quantum technologies may emerge from advantages we cannot yet conceive.
title The vast world of quantum advantage
topic Quantum Physics
Computational Complexity
Information Theory
url https://arxiv.org/abs/2508.05720