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    • Quantum entanglement in the NMR implementation of the Deutsch-Jozsa algorithm

      Arvind Kavita Dorai Anil Kumar

      Rapid Communication Volume 56 Issue 5 May 2001 pp L705-L713

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/056/05/L0705-L0713

    • Keywords

       

      Quantum computation; entanglement; nuclear magnetic resonance; DJ-algorithm.

    • Abstract

       

      A scheme to execute an 𝑛-bit Deutsch-Jozsa (DJ) algorithm using 𝑛 qubits has been implemented for up to three cubits on an NMR quantum computer. For the one- and the two-bit Deutsch problem, the qubits do not get entangled, and the NMR implementation is achieved without using spin-spin interactions. It is for the three-bit case, that the manipulation of entangled states becomes essential. The interactions through scalar 𝐽-couplings in NMR spin systems have been exploited to implement entangling transformations required for the three bit DJ algorithm.

    • Author Affiliations

       

      Arvind1 Kavita Dorai2 Anil Kumar3

      1. Department of Physics, Guru Nanak Dev University, Amritsar 143 005, India
      2. Institute for Organic Chemistry, University of Frankfurt, D-60439 Frankfurt am Main, Germany
      3. Sophisticated Instruments Facility, Indian institute of Science, Bangalore 560 012, India

    • Dates

       
      Published
      May 2001
      Manuscript received
      1 February 2001
      Manuscript revised
      13 April 2001

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