{"title":"Simulation of Quantum Walks via Hamiltonian Reduction","authors":"Aaron Gregory, Chen-Fu Chiang","doi":"10.1109/NANOTECH.2018.8653568","DOIUrl":null,"url":null,"abstract":"We utilize dimensionality reduction to model and simulate continuous time quantum walks on a multi-partite graph, verifying that they produce a quadratic speedup over classical walks. We also discuss the applicability of dimensionality reduction as a modelling tool to experiments run on quantum hardware.","PeriodicalId":292669,"journal":{"name":"2018 IEEE Nanotechnology Symposium (ANTS)","volume":"47 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 IEEE Nanotechnology Symposium (ANTS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/NANOTECH.2018.8653568","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
We utilize dimensionality reduction to model and simulate continuous time quantum walks on a multi-partite graph, verifying that they produce a quadratic speedup over classical walks. We also discuss the applicability of dimensionality reduction as a modelling tool to experiments run on quantum hardware.
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