Adiabatic quantum simulations with superconducting qubits

Quantum computing technology is improving fast and quantum computers with approximately 100 qubits appear feasible in the not so distant future. The quest for systems which profit of exponential speed-up and cannot be calculated on classical computers has recently triggered a lot of attention. Fermionic quantum systems, such as quantum chemistry or the Fermi-Hubbard model, are among the best candidates for exploiting the exponential speed-up. Such a quantum system can be implemented on a quantum computer based on superconducting qubits. However, the controlled realization of different types of interactions between qubits without compromising their coherence is essential. A coupling method between fixed-frequency transmon qubits can be achieved with the frequency modulation of an auxiliary capacitively coupled quantum bus. An adiabatic protocol for the Hydrogen molecule can be implemented on such a coupled qubit system.