Mathematical Theory of Duality Quantum Computers

  • Authors:
  • Stan Gudder

  • Affiliations:
  • Department of Mathematics, University of Denver, Denver, USA 80208

  • Venue:
  • Quantum Information Processing
  • Year:
  • 2007

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Abstract

We present a mathematical theory for a new type of quantum computer called a duality quantum computer that has recently been proposed. We discuss the nonunitarity of certain circuits of a duality quantum computer and point out a paradoxical situation that occurs when mixed states are considered. It is shown that a duality quantum computer can measure itself without needing a separate measurement apparatus to determine its final state.