Chapter

Quantum Communication and Information Technologies

Volume 113 of the series NATO Science Series pp 1-12

Schmidt-Mode Analysis of Entanglement for Quantum Information Studies

  • J. H. EberlyAffiliated withCenter for Quantum Information and Department of Physics and Astronomy, University of Rochester
  • , K. W. ChanAffiliated withCenter for Quantum Information and Department of Physics and Astronomy, University of Rochester
  • , C. K. LawAffiliated withCenter for Quantum Information and Department of Physics and Astronomy, University of RochesterDepartment of Physics, The Chinese University of Hong Kong, NT

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Abstract

We present examples of the analysis of quantum entanglement entanglement as an introduction to the fundamental basis for quantum computing and information technology. Pure non-separable two-particle states are analysed using the Schmidt decomposition and we introduce the number of effective eigenmodes as a measure of entanglement. We give an elementary illustration, as well as an overview of more complex calculations we have carried out in situations involving bipartite states in continuous Hilbert space.