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Quantum entanglement in the NMR implementation of the Deutsch-Jozsa algorithm
Authors:Arvind  Kavita Dorai  Anil Kumar
Institution:(1) Department of Physics, Guru Nanak Dev University, 143 005 Amritsar, India;(2) Institute for Organic Chemistry, University of Frankfurt, D-60439 Frankfurt am Main, Germany;(3) Sophisticated Instruments Facility, Indian Institute of Science, 560 012 Bangalore, India
Abstract:A scheme to execute an n-bit Deutsch-Jozsa (DJ) algorithm using n qubits has been implemented for up to three qubits 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.
Keywords:Quantum computation  entanglement  nuclear magnetic resonance  DJ-algorithm
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