Quantum Circuit Optimization for Large-Scale Applications

Consider a 3-qubit quantum circuit with several layers of gates. The goal is to minimize the overall gate count while maintaining circuit fidelity. 1. Describe the original circuit structure and identify potential optimization opportunities. 2. Apply a combination of techniques, such as gate rearrangement and decomposition, to reduce the number of gates. 3. Evaluate the optimized circuit's performance using metrics like gate error rates and circuit depth.