将二元函数映射到实用的绝热量子计算机

David J. Rosenbaum, M. Perkowski
{"title":"将二元函数映射到实用的绝热量子计算机","authors":"David J. Rosenbaum, M. Perkowski","doi":"10.1109/ISMVL.2010.57","DOIUrl":null,"url":null,"abstract":"Efficiently mapping binary functions to adiabatic quantum computers is an important problem because the resulting circuits can be used as oracles in Grover's algorithm. This paper presents a method for mapping binary functions to a two-dimensional grid of qubits with nearest neighbor interactions which is used in a prototype from D-Wave Systems. This is done by writing the binary function in a special form. This allows the binary function to be implemented by converting each gate into a 3-local Hamiltonian. These 3-local Hamiltonians are then converted into two-local Hamiltonians which are mapped to the grid of qubits.","PeriodicalId":447743,"journal":{"name":"2010 40th IEEE International Symposium on Multiple-Valued Logic","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2010-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Mapping Binary Functions to a Practical Adiabatic Quantum Computer\",\"authors\":\"David J. Rosenbaum, M. Perkowski\",\"doi\":\"10.1109/ISMVL.2010.57\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Efficiently mapping binary functions to adiabatic quantum computers is an important problem because the resulting circuits can be used as oracles in Grover's algorithm. This paper presents a method for mapping binary functions to a two-dimensional grid of qubits with nearest neighbor interactions which is used in a prototype from D-Wave Systems. This is done by writing the binary function in a special form. This allows the binary function to be implemented by converting each gate into a 3-local Hamiltonian. These 3-local Hamiltonians are then converted into two-local Hamiltonians which are mapped to the grid of qubits.\",\"PeriodicalId\":447743,\"journal\":{\"name\":\"2010 40th IEEE International Symposium on Multiple-Valued Logic\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-05-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 40th IEEE International Symposium on Multiple-Valued Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.2010.57\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 40th IEEE International Symposium on Multiple-Valued Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2010.57","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1

摘要

有效地将二进制函数映射到绝热量子计算机是一个重要的问题,因为所得到的电路可以用作Grover算法中的预言器。本文提出了一种将二元函数映射到具有最近邻相互作用的二维量子比特网格的方法,该方法用于D-Wave系统的一个原型中。这是通过将二进制函数写成一种特殊形式来实现的。这允许通过将每个门转换为3局部哈密顿量来实现二进制函数。然后将这些三局部哈密顿量转换为映射到量子位网格的两局部哈密顿量。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Mapping Binary Functions to a Practical Adiabatic Quantum Computer
Efficiently mapping binary functions to adiabatic quantum computers is an important problem because the resulting circuits can be used as oracles in Grover's algorithm. This paper presents a method for mapping binary functions to a two-dimensional grid of qubits with nearest neighbor interactions which is used in a prototype from D-Wave Systems. This is done by writing the binary function in a special form. This allows the binary function to be implemented by converting each gate into a 3-local Hamiltonian. These 3-local Hamiltonians are then converted into two-local Hamiltonians which are mapped to the grid of qubits.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Toffoli Gate Implementation Using the Billiard Ball Model Queries with Multivalued Logic-Based Semantics for Imperfect Information Fusion On the Number of Products to Represent Interval Functions by SOPs with Four-Valued Variables Spectral Techniques: The First Decade of the XXI Century (Invited Paper) Efficient Simulation-Based Debugging of Reversible Logic
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1