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Duality Quantum Computers and Quantum Operations
Authors:Stan Gudder
Institution:(1) Department of Mathematics, University of Denver, Denver, CO 80208, USA
Abstract:We present a mathematical theory for a new type of quantum computer called a duality quantum computer that is similar to one that has recently been proposed. We discuss the nonunitarity of certain circuits of a duality quantum computer. We then discuss the relevance of this work to quantum operations and their convexity theory. This discussion is based upon isomorphism theorems for completely positive maps.
Keywords:Quantum computation  Quantum operations
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