Abstract

For complex computation to be completed effectively, quantum computing depends on the unique behavior of quantum mechanical systems. In-depth research on quantum signal integration and analysis in the creation of basic quantum logic gates is presented in this paper. The method describes qubit transformations as dynamic quantum signals with phase and amplitude modulations in Hilbert space. In light of this, each quantum gate is thought of as a signal processing unit that uses unitary transformations to alter the probability amplitude of the input qubit. The suggested design uses quantum state tomography and Fourier-based signal visualization to simulate gates such as Hadamard, Pauli-X, and CNOT and analyze their signal responses. The accuracy of quantum signal generation and minimal phase distortion in noisy environments are confirmed by simulation results.