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      • Department of Electrical and Electronics Engineering
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      An information-theoretic analysis of Grover's algorithm

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      Author
      Arıkan, Erdal
      Date
      2003-06-07
      Source Title
      IEEE International Symposium on Information Theory, 2003 - Proceedings
      Publisher
      IEEE
      Pages
      339 - 347
      Language
      English
      Type
      Conference Paper
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      Abstract
      Grover discovered a quantum algorithm for identifying a target element in an unstructured search universe of N items in approximately 1r/4VN queries to a quantum oracle. For classical search using a classical oracle, the search complexity is of order N /2 queries since on average half of the items must be searched. In work preceding Grover's, Bennett et al. had shown that no quantum algorithm can solve the search problem in fewer than D(VN) queries. Thus, Grover's algorithm has optimal order of complexity. Here, we present an informationtheoretic analysis of Grover's algorithm and show that the square-root speed-up by Grover's algorithm is the best possible by any algorithm using the same quantum oracle.
      Keywords
      Grover's algorithm
      Quantum search
      Entropy
      Information analysis
      Algorithm design and analysis
      Quantum computing
      Physics computing
      Performance gain
      Computer errors
      Error correction
      Time measurement
      Upper bound
      Permalink
      http://hdl.handle.net/11693/27521
      Published Version (Please cite this version)
      https://doi.org/10.1109/ISIT.2003.1228418
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      • Department of Electrical and Electronics Engineering 3524
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