{"title":"Flexible Fault Tolerant Gate Gadgets","authors":"Eric Kubischta, Ian Teixeira","doi":"arxiv-2409.11616","DOIUrl":null,"url":null,"abstract":"We design flexible fault tolerant gate gadgets that allow the data and the\nancilla to be encoded using different codes. By picking a stabilizer code for\nthe ancilla we are able to perform both Clifford and non-Clifford gates fault\ntolerantly on generic quantum codes, including both stabilizer and non-additive\ncodes. This allows us to demonstrate the first universal fault tolerant gate\nset for non-additive codes. We consider fault tolerance both with respect to a\ndephasing channel and a depolarizing channel.","PeriodicalId":501226,"journal":{"name":"arXiv - PHYS - Quantum Physics","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Quantum Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.11616","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We design flexible fault tolerant gate gadgets that allow the data and the
ancilla to be encoded using different codes. By picking a stabilizer code for
the ancilla we are able to perform both Clifford and non-Clifford gates fault
tolerantly on generic quantum codes, including both stabilizer and non-additive
codes. This allows us to demonstrate the first universal fault tolerant gate
set for non-additive codes. We consider fault tolerance both with respect to a
dephasing channel and a depolarizing channel.
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