{"title":"用哈密顿约化法模拟量子行走","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":"{\"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}","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}
Simulation of Quantum Walks via Hamiltonian Reduction
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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