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  • 标题:Exact Quantum Query Algorithm for Error Detection Code Verification
  • 作者:Alina Vasilieva
  • 期刊名称:OASIcs : OpenAccess Series in Informatics
  • 电子版ISSN:2190-6807
  • 出版年度:2009
  • 卷号:13
  • 页码:45-52
  • DOI:10.4230/DROPS.MEMICS.2009.2343
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:Quantum algorithms can be analyzed in a query model to compute Boolean functions. Function input is provided in a black box, and the aim is to compute the function value using as few queries to the black box as possible. A repetition code is an error detection scheme that repeats each bit of the original message r times. After a message with redundant bits is transmitted via a communication channel, it must be verified. If the received message consists of r-size blocks of equal bits, the conclusion is that there were no errors. The verification procedure can be interpreted as an application of a query algorithm, where input is a message to be checked. Classically, for N-bit message, values of all N variables must be queried. We demonstrate an exact quantum algorithm that uses only N/2 queries.
  • 关键词:Quantum computing; quantum query algorithms; algorithm complexity; Boolean functions; algorithm design
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