Exploring Quantum Simulation: Pairing Hamiltonians of Nearest-Neighbor Interacting Superconducting Qubits
Introduction In the rapidly evolving field of quantum computing, recent experiments on the IBM Quantum Computer-IBMq Lima have unveiled fascinating insights into the behavior of superconducting qubits. Our research, titled "Pairing Hamiltonians of Nearest-Neighbor Interacting Superconducting Qubits on an IBM Quantum Computer," dives deep into this complex subject, presenting groundbreaking findings that could shape the future of quantum simulations. Overview The experiment focused on pairing Hamiltonians of nearest-neighbor interacting superconducting qubits, utilizing a complete set of algorithms on the IBM Quantum Computer-IBMq Lima. By leveraging the Suzuki–Trotter decomposition, we explored four different types of qubit couplings: Heisenberg, XY, transverse Ising, and longitudinal Ising. The fidelity of these couplings was analyzed as a function of iteration, providing a comprehensive view of their performance and behavior. Key Findings Fidelity and Iteration : One of t...