A relation between quantum operations and the quantum Fourier transform
نویسندگان
چکیده
We propose a general geometry representation of d-level quantum system (or qudit for short). Then we define a general class of operations for qudits. A sufficient and necessary condition of when an operation in the class would be a legal quantum operation is found. This condition is expressed in terms of the quantum Fourier transform. As an application of this condition, we recover the optimal d-level universal NOT gate and show the optimality of qubit case.
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