Differentiating and Integrating ZX Diagrams with Applications to Quantum Machine Learning

Fuente: arXiv
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Hauptverfasser: Wang, Quanlong, Yeung, Richie, Koch, Mark
Format: Preprint
Veröffentlicht: 2022
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author Wang, Quanlong
Yeung, Richie
Koch, Mark
author_facet Wang, Quanlong
Yeung, Richie
Koch, Mark
contents ZX-calculus has proved to be a useful tool for quantum technology with a wide range of successful applications. Most of these applications are of an algebraic nature. However, other tasks that involve differentiation and integration remain unreachable with current ZX techniques. Here we elevate ZX to an analytical perspective by realising differentiation and integration entirely within the framework of ZX-calculus. We explicitly illustrate the new analytic framework of ZX-calculus by applying it in context of quantum machine learning for the analysis of barren plateaus.
format Preprint
id arxiv_https___arxiv_org_abs_2201_13250
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Differentiating and Integrating ZX Diagrams with Applications to Quantum Machine Learning
Wang, Quanlong
Yeung, Richie
Koch, Mark
Quantum Physics
Machine Learning
ZX-calculus has proved to be a useful tool for quantum technology with a wide range of successful applications. Most of these applications are of an algebraic nature. However, other tasks that involve differentiation and integration remain unreachable with current ZX techniques. Here we elevate ZX to an analytical perspective by realising differentiation and integration entirely within the framework of ZX-calculus. We explicitly illustrate the new analytic framework of ZX-calculus by applying it in context of quantum machine learning for the analysis of barren plateaus.
title Differentiating and Integrating ZX Diagrams with Applications to Quantum Machine Learning
topic Quantum Physics
Machine Learning
url https://arxiv.org/abs/2201.13250