Enhanced adiabatic quantum algorithm in finite-temperature reservoirs via squeezing

Adiabatic quantum algorithm always requires that the system is kept in its ground state during the time evolution, but the interaction between the system and its environment often destroys the adiabaticity. In this paper we show that the reservoir engineering, i.e. the squeezing of the environment, can be used to enhance the adiabaticity of the system in the presence of environment noise. We use the non-Markovian quantum state diffusion (QSD) method to solve the system dynamics. Taking the Max-Cut problem as an example, the effects of squeezing strength and squeezing direction on the adiabatic fidelity are investigated. The results show that appropriate squeezing can enhance the fidelity, and this enhancement remains effective as system sizes vary. Moreover, the optimal squeezing direction changes with different temperature and spectrum bandwidth. Our work demonstrate that reservoir engineering is an effective approach to control the dynamics of the system, which can be used to boost the adiabaticity of the quantum algorithm in open systems.