Exploring Ground States of Fermi-Hubbard Model on Honeycomb Lattices with Counterdiabaticity
arxiv(2024)
摘要
Exploring the ground state properties of many-body quantum systems
conventionally involves adiabatic processes, alongside exact diagonalization,
in the context of quantum annealing or adiabatic quantum computation. Shortcuts
to adiabaticity by counter-diabatic driving serve to accelerate these processes
by suppressing energy excitations. Motivated by this, we develop variational
quantum algorithms incorporating the auxiliary counterdiabatic interactions,
comparing them with digitized adiabatic algorithms. These algorithms are then
implemented on gate-based quantum circuits to explore the ground states of the
Fermi-Hubbard model on honeycomb lattices, utilizing systems with up to 26
qubits. The comparison reveals that the counter-diabatic inspired ansatz is
superior to traditional Hamiltonian variational ansatz. Furthermore, the number
and duration of Trotter steps are analyzed to understand and mitigate errors.
Given the model's relevance to materials in condensed matter, our study paves
the way for using variational quantum algorithms with counterdiabaticity to
explore quantum materials in the noisy intermediate-scale quantum era.
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要