文章基本信息

标题：Locally Decodable Quantum Codes
本地全文：下载
作者：Jop Briet ; Ronald de Wolf
期刊名称：LIPIcs : Leibniz International Proceedings in Informatics
电子版ISSN：1868-8969
出版年度：2009
卷号：3
页码：219-230
DOI：10.4230/LIPIcs.STACS.2009.1813
出版社：Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
摘要：We study a quantum analogue of locally decodable error-correcting codes. A $q$-query \emph{locally decodable quantum code} encodes $n$ classical bits in an $m$-qubit state, in such a way that each of the encoded bits can be recovered with high probability by a measurement on at most $q$ qubits of the quantum code, even if a constant fraction of its qubits have been corrupted adversarially. We show that such a quantum code can be transformed into a \emph{classical} $q$-query locally decodable code of the same length that can be decoded well on average (albeit with smaller success probability and noise-tolerance). This shows, roughly speaking, that $q$-query quantum codes are not significantly better than $q$-query classical codes, at least for constant or small $q$.
关键词：Data structures; Locally decodable codes; Quantum computing