Quantum principal component analysis

S. Lloyd, M. Mohseni, P. Rebentrost · 2014 · Nat. Phys.

| 编号 QR048 | 主题 算法与批判 | 链接 arXiv:1307.0401 |

摘要

摘要保留原文（英文）

摘要取自 arXiv / 出版方元数据，未作翻译，以保证与原文一致。

Abstract: The usual way to reveal properties of an unknown quantum state, given many copies of a system in that state, is to perform measurements of different observables and to analyze the measurement results statistically. Here we show that the unknown quantum state can play an active role in its own analysis. In particular, given multiple copies of a quantum system with density matrix $\rho$ , then it is possible to perform the unitary transformation $e^{-i\rho t}$ . As a result, one can create quantum coherence among different copies of the system to perform quantum principal component analysis, revealing the eigenvectors corresponding to the large eigenvalues of the unknown state in time exponentially faster than any existing algorithm.

本站词条在引用该文献时，会以 wikilink（sources/QR048）链接到本页；右侧「反向链接」面板自动列出所有引用它的词条。