Design and FPGA-Based Implementation of a Quantum-Inspired Single-Qubit Circuit

Quantum computing offers transformative potential for solving complex computational problems exponentially faster than classical systems. However, large-scale quantum hardware remains constrained by qubit decoherence, cryogenic requirements, and limited scalability. Quantum-inspired circuits on classical FPGA platforms offer an accessible and cost-effective means to emulate quantum behavior and validate quantum algorithms. This paper presents the design and FPGA-based implementation of a quantum-inspired single-qubit circuit capable of emulating fundamental quantum gate operations including Hadamard, Pauli-X, Pauli-Z, and phase shift gates. Qubit states are modeled using fixed-point probability amplitude representation. The design is described in Verilog HDL and synthesized on a Xilinx FPGA using Vivado. Hardware validation results confirm accurate emulation of single-qubit quantum operations with acceptable precision for quantum algorithm prototyping.

Keywords: Quantum-Inspired Circuit, FPGA, Single Qubit, Quantum Gates, Hadamard, Verilog, Quantum Emulation, VLSI