量子态学习复杂性调查

IF 44.8 1区 物理与天体物理 Q1 PHYSICS, APPLIED Nature Reviews Physics Pub Date : 2023-12-11 DOI:10.1038/s42254-023-00662-4
Anurag Anshu, Srinivasan Arunachalam
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引用次数: 0

摘要

量子学习理论是量子计算和机器学习交叉的一个新的非常活跃的研究领域。过去两年的重大突破迅速巩固了它的基础,并导致需要一个全面的调查,可以由量子计算领域经验丰富和早期职业的研究人员阅读。从这个角度来看,我们调查了严格研究学习量子态复杂性的各种结果。其中包括量子层析成像、学习物理量子态、层析成像的替代学习模型以及学习编码为量子态的经典函数的进展。我们强调这些结果是如何导致一个成功的理论与一系列令人兴奋的开放性问题,其中一些我们在整个文本中列出。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

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A survey on the complexity of learning quantum states
Quantum learning theory is a new and very active area of research at the intersection of quantum computing and machine learning. Important breakthroughs in the past two years have rapidly solidified its foundations and led to a need for an encompassing survey that can be read by seasoned and early-career researchers in quantum computing. In this Perspective, we survey various results that rigorously study the complexity of learning quantum states. These include progress on quantum tomography, learning physical quantum states, alternative learning models to tomography, and learning classical functions encoded as quantum states. We highlight how these results are leading towards a successful theory with a range of exciting open questions, some of which we list throughout the text. Quantum learning theory is a new and very active area of research at the intersection of quantum computing and machine learning. This Perspective surveys the progress in this field, highlighting a number of exciting open questions.
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来源期刊
CiteScore
47.80
自引率
0.50%
发文量
122
期刊介绍: Nature Reviews Physics is an online-only reviews journal, part of the Nature Reviews portfolio of journals. It publishes high-quality technical reference, review, and commentary articles in all areas of fundamental and applied physics. The journal offers a range of content types, including Reviews, Perspectives, Roadmaps, Technical Reviews, Expert Recommendations, Comments, Editorials, Research Highlights, Features, and News & Views, which cover significant advances in the field and topical issues. Nature Reviews Physics is published monthly from January 2019 and does not have external, academic editors. Instead, all editorial decisions are made by a dedicated team of full-time professional editors.
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