{"title":"量子计算机错误率最大迹量的若干性质","authors":"Leonid Fedichkin, Andrii Kurkin","doi":"10.1117/12.2624606","DOIUrl":null,"url":null,"abstract":"Interaction of quantum system with environment makes the system change its coherent dynamics and it is extremely important to estimate this deviation in correct and clear way. In this paper we consider measure of decoherence based on trace norm. This measure is defined as a maximal norm of the density matrix deviation. We establish the property of additivity at short times: the sum of the individual qubit error measures provides an estimate of the error for a multiqubit system. This property is investigated for 2-qubit systems numerically. Rigorous analytical proof of asymptotic additivity is obtained.","PeriodicalId":388511,"journal":{"name":"International Conference on Micro- and Nano-Electronics","volume":"80 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some properties of maximal trace measure of quantum computer error rate\",\"authors\":\"Leonid Fedichkin, Andrii Kurkin\",\"doi\":\"10.1117/12.2624606\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Interaction of quantum system with environment makes the system change its coherent dynamics and it is extremely important to estimate this deviation in correct and clear way. In this paper we consider measure of decoherence based on trace norm. This measure is defined as a maximal norm of the density matrix deviation. We establish the property of additivity at short times: the sum of the individual qubit error measures provides an estimate of the error for a multiqubit system. This property is investigated for 2-qubit systems numerically. Rigorous analytical proof of asymptotic additivity is obtained.\",\"PeriodicalId\":388511,\"journal\":{\"name\":\"International Conference on Micro- and Nano-Electronics\",\"volume\":\"80 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-01-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Conference on Micro- and Nano-Electronics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1117/12.2624606\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Conference on Micro- and Nano-Electronics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1117/12.2624606","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Some properties of maximal trace measure of quantum computer error rate
Interaction of quantum system with environment makes the system change its coherent dynamics and it is extremely important to estimate this deviation in correct and clear way. In this paper we consider measure of decoherence based on trace norm. This measure is defined as a maximal norm of the density matrix deviation. We establish the property of additivity at short times: the sum of the individual qubit error measures provides an estimate of the error for a multiqubit system. This property is investigated for 2-qubit systems numerically. Rigorous analytical proof of asymptotic additivity is obtained.
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