Quantum Information & Computation最新文献

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Quantum-based privacy-preserving techniques for secure and trustworthy internet of medical things an extensive analysis 基于量子的隐私保护技术用于安全可信的医疗物联网的广泛分析
Quantum Information & Computation Pub Date : 2024-03-01 DOI: 10.26421/qic24.3-4-3
D. Dhinakaran, L. Srinivasan, S. M. Udhaya Sankar, Dharani Selvaraj
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引用次数: 0
Quantum algorithms for SCS and text assembling problems SCS 和文本组装问题的量子算法
Quantum Information & Computation Pub Date : 2024-03-01 DOI: 10.26421/qic24.3-4-4
K. Khadiev, Carlos Manuel Bosch Machado,, Ze-Wen Chen, Junde Wu
{"title":"Quantum algorithms for SCS and text assembling problems","authors":"K. Khadiev, Carlos Manuel Bosch Machado,, Ze-Wen Chen, Junde Wu","doi":"10.26421/qic24.3-4-4","DOIUrl":"https://doi.org/10.26421/qic24.3-4-4","url":null,"abstract":"In this paper, we consider two versions of the Text Assembling problem. We are given a sequence of strings $s^1,dots,s^n$ of total length $L$ that is a dictionary, and a string $t$ of length $m$ that is a text. The first version of the problem is assembling $t$ from the dictionary. The second version is the ``Shortest Superstring Problem''(SSP) or the ``Shortest Common Superstring Problem''(SCS). In this case, $t$ is not given, and we should construct the shortest string (we call it superstring) that contains each string from the given sequence as a substring.These problems are connected with the sequence assembly method for reconstructing a long DNA sequence from small fragments. For both problems, we suggest new quantum algorithms that work better than their classical counterparts. In the first case, we present a quantum algorithm with $O(m+log msqrt{nL})$ query complexity. In the case of SSP, we present a quantum algorithm with $tilde{O}(n^3 1.728^n +L +n^{1.5}sqrt{L})$ query complexity. Here $tilde{O}$ hides not only constants but logarithms of $L$ and $n$ also.","PeriodicalId":106838,"journal":{"name":"Quantum Information & Computation","volume":"35 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140268989","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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