Mathematical Theory of Duality Quantum Computers
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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.
KeywordsQuantum duality divider and combiner operators quantum operators
Pacs03.67.Lx 03.67.-a 02.30.Tb
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