Quantum-inspired algorithms for multivariate analysis: from interpolation to partial differential equations

In this work we study the encoding of smooth, differentiable multivariate functions in quantum registers, using quantum computers or tensor-network representations. We show that a large family of distributions can be encoded as low-entanglement states of the quantum register. These states can be eff...

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Bibliographic Details
Main Author: Juan José García-Ripoll
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2021-04-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2021-04-15-431/pdf/