Sampling Problems on a Quantum Computer

Fuente: arXiv
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Auteurs principaux: Mansky, Maximilian Balthasar, Nüßlein, Jonas, Bucher, David, Schuman, Daniëlle, Zielinski, Sebastian, Linnhoff-Popien, Claudia
Format: Preprint
Publié: 2024
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author Mansky, Maximilian Balthasar
Nüßlein, Jonas
Bucher, David
Schuman, Daniëlle
Zielinski, Sebastian
Linnhoff-Popien, Claudia
author_facet Mansky, Maximilian Balthasar
Nüßlein, Jonas
Bucher, David
Schuman, Daniëlle
Zielinski, Sebastian
Linnhoff-Popien, Claudia
contents Due to the advances in the manufacturing of quantum hardware in the recent years, significant research efforts have been directed towards employing quantum methods to solving problems in various areas of interest. Thus a plethora of novel quantum methods have been developed in recent years. In this paper, we provide a survey of quantum sampling methods alongside needed theory and applications of those sampling methods as a starting point for research in this area. This work focuses in particular on Gaussian Boson sampling, quantum Monte Carlo methods, quantum variational Monte Carlo, quantum Boltzmann Machines and quantum Bayesian networks. We strive to provide a self-contained overview over the mathematical background, technical feasibility, applicability for other problems and point out potential areas of future research.
format Preprint
id arxiv_https___arxiv_org_abs_2402_16341
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Sampling Problems on a Quantum Computer
Mansky, Maximilian Balthasar
Nüßlein, Jonas
Bucher, David
Schuman, Daniëlle
Zielinski, Sebastian
Linnhoff-Popien, Claudia
Quantum Physics
Due to the advances in the manufacturing of quantum hardware in the recent years, significant research efforts have been directed towards employing quantum methods to solving problems in various areas of interest. Thus a plethora of novel quantum methods have been developed in recent years. In this paper, we provide a survey of quantum sampling methods alongside needed theory and applications of those sampling methods as a starting point for research in this area. This work focuses in particular on Gaussian Boson sampling, quantum Monte Carlo methods, quantum variational Monte Carlo, quantum Boltzmann Machines and quantum Bayesian networks. We strive to provide a self-contained overview over the mathematical background, technical feasibility, applicability for other problems and point out potential areas of future research.
title Sampling Problems on a Quantum Computer
topic Quantum Physics
url https://arxiv.org/abs/2402.16341