Classical and Quantum Algorithms for Tensor Principal Component Analysis

We present classical and quantum algorithms based on spectral methods for a problem in tensor principal component analysis. The quantum algorithm achieves a $quartic$ speedup while using exponentially smaller space than the fastest classical spectral algorithm, and a super-polynomial speedup over cl...

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Bibliographic Details
Main Author: Matthew B. Hastings
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2020-02-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2020-02-27-237/pdf/