Adiabatic quantum simulations with driven superconducting qubits

TL;DR

This paper introduces a method for quantum simulation using driven superconducting qubits with tunable interactions, enabling efficient adiabatic simulation of molecular ground states within microseconds.

Contribution

It presents a novel approach to generate tunable multi-qubit interactions via parametric flux modulation, demonstrated through simulating a hydrogen molecule's ground state.

Findings

Achieved adiabatic simulation of hydrogen molecule within microseconds

Derived a multi-qubit Hamiltonian with tunable $XX$ and $YY$ interactions

Potential for simulating complex spin systems with current superconducting technology

Abstract

We propose a quantum simulator based on driven superconducting qubits where the interactions are generated parametrically by a polychromatic magnetic flux modulation of a tunable bus element. Using a time-dependent Schrieffer-Wolff transformation, we analytically derive a multi-qubit Hamiltonian which features independently tunable $XX$ and $YY$-type interactions as well as local bias fields over a large parameter range. We demonstrate the adiabatic simulation of the ground state of a hydrogen molecule using two superconducting qubits and one tunable bus element. The time required to reach chemical accuracy lies in the few microsecond range and therefore could be implemented on currently available superconducting circuits. Further applications of this technique may also be found in the simulation of interacting spin systems.