Obtaining Ground States of the XXZ Model Using the Quantum Annealing with Inductively Coupled Superconducting Flux Qubits

Obtaining ground states of Hamiltonians is important in the condensed matter physics and quantum chemistry. The interaction typically contain not only diagonal but also off-diagonal elements. Although annealing provides a way to obtain state Hamiltonian, we can use Hamiltonian with Ising by using currently available commercial devices. In this work, propose for XXZ model, which contains both energy-exchange interaction, inductively coupled superconducting flux qubits. key idea recently proposed spin-lock where qubits are driven microwave fields. As long as rotating wave approximation valid, inductive coupling between produces desired frame, such an while fields driving play role transverse To quantify performance our scheme, implement numerical simulations, show that two-dimensional Heisenberg model high fidelity.