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Quantum Information Processing

, Volume 6, Issue 1, pp 37–48 | Cite as

Mathematical Theory of Duality Quantum Computers

  • Stan Gudder
Article

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.

Keywords

Quantum duality divider and combiner operators quantum operators 

Pacs

03.67.Lx 03.67.-a 02.30.Tb 

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Copyright information

© Springer Science+Business Media, LLC 2006

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of DenverDenverUSA

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