A Universal Quantum Circuit Design for Periodical Functions
arXiv:2106.02678 · doi:10.1088/1367-2630/ac2cb4
Abstract
We propose a universal quantum circuit design that can estimate any arbitrary one-dimensional periodic functions based on the corresponding Fourier expansion. The quantum circuit contains N-qubits to store the information on the different N-Fourier components and auxiliary qubits with for control operations. The desired output will be measured in the last qubit with a time complexity of the computation of . We illustrate the approach by constructing the quantum circuit for the square wave function with accurate results obtained by direct simulations using the IBM-QASM simulator. The approach is general and can be applied to any arbitrary periodic function.
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