Quantum computation and simulation with large-ion crystals and dual-type qubits

In this talk, I will show how to realize large ion crystals for quantum simulation and computation, how to quantum simulate the Rabi-Hubbard model beyond the classical simulation capability, and how to realize dual-type qubits with the same species of trapped ions for fault-tolerant quantum error correction so that one-type of qubits can be repeatedly measured with no detrimental influence on the other-type of qubits that carry the computational information.