Exploring ground states of Fermi-Hubbard model on honeycomb lattices with counterdiabaticity
Abstract 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 th...
Saved in:
| Main Authors: | , , , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2024-11-01
|
| Series: | npj Quantum Materials |
| Online Access: | https://doi.org/10.1038/s41535-024-00697-5 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1846172345135267840 |
|---|---|
| author | Jialiang Tang Ruoqian Xu Yongcheng Ding Xusheng Xu Yue Ban Man-Hong Yung Axel Pérez-Obiol Gloria Platero Xi Chen |
| author_facet | Jialiang Tang Ruoqian Xu Yongcheng Ding Xusheng Xu Yue Ban Man-Hong Yung Axel Pérez-Obiol Gloria Platero Xi Chen |
| author_sort | Jialiang Tang |
| collection | DOAJ |
| description | Abstract 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 counter-diabatic 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. |
| format | Article |
| id | doaj-art-d59cbadcdbda4cbbaf6123daa2ca2984 |
| institution | Kabale University |
| issn | 2397-4648 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | npj Quantum Materials |
| spelling | doaj-art-d59cbadcdbda4cbbaf6123daa2ca29842024-11-10T12:05:22ZengNature Portfolionpj Quantum Materials2397-46482024-11-019111010.1038/s41535-024-00697-5Exploring ground states of Fermi-Hubbard model on honeycomb lattices with counterdiabaticityJialiang Tang0Ruoqian Xu1Yongcheng Ding2Xusheng Xu3Yue Ban4Man-Hong Yung5Axel Pérez-Obiol6Gloria Platero7Xi Chen8Instituto de Ciencia de Materiales de Madrid (CSIC)Instituto de Ciencia de Materiales de Madrid (CSIC)Department of Physical Chemistry, University of the Basque Country UPV/EHUDepartment of Physics, State Key Laboratory of Low-Dimensional Quantum Physics, Tsinghua UniversityDepartamento de Física, Universidad Carlos III de Madrid, Avda. de la Universidad 30Department of Physics, Southern University of Science and TechnologyDepartament de Física, Universitat Autònoma de BarcelonaInstituto de Ciencia de Materiales de Madrid (CSIC)Instituto de Ciencia de Materiales de Madrid (CSIC)Abstract 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 counter-diabatic 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.https://doi.org/10.1038/s41535-024-00697-5 |
| spellingShingle | Jialiang Tang Ruoqian Xu Yongcheng Ding Xusheng Xu Yue Ban Man-Hong Yung Axel Pérez-Obiol Gloria Platero Xi Chen Exploring ground states of Fermi-Hubbard model on honeycomb lattices with counterdiabaticity npj Quantum Materials |
| title | Exploring ground states of Fermi-Hubbard model on honeycomb lattices with counterdiabaticity |
| title_full | Exploring ground states of Fermi-Hubbard model on honeycomb lattices with counterdiabaticity |
| title_fullStr | Exploring ground states of Fermi-Hubbard model on honeycomb lattices with counterdiabaticity |
| title_full_unstemmed | Exploring ground states of Fermi-Hubbard model on honeycomb lattices with counterdiabaticity |
| title_short | Exploring ground states of Fermi-Hubbard model on honeycomb lattices with counterdiabaticity |
| title_sort | exploring ground states of fermi hubbard model on honeycomb lattices with counterdiabaticity |
| url | https://doi.org/10.1038/s41535-024-00697-5 |
| work_keys_str_mv | AT jialiangtang exploringgroundstatesoffermihubbardmodelonhoneycomblatticeswithcounterdiabaticity AT ruoqianxu exploringgroundstatesoffermihubbardmodelonhoneycomblatticeswithcounterdiabaticity AT yongchengding exploringgroundstatesoffermihubbardmodelonhoneycomblatticeswithcounterdiabaticity AT xushengxu exploringgroundstatesoffermihubbardmodelonhoneycomblatticeswithcounterdiabaticity AT yueban exploringgroundstatesoffermihubbardmodelonhoneycomblatticeswithcounterdiabaticity AT manhongyung exploringgroundstatesoffermihubbardmodelonhoneycomblatticeswithcounterdiabaticity AT axelperezobiol exploringgroundstatesoffermihubbardmodelonhoneycomblatticeswithcounterdiabaticity AT gloriaplatero exploringgroundstatesoffermihubbardmodelonhoneycomblatticeswithcounterdiabaticity AT xichen exploringgroundstatesoffermihubbardmodelonhoneycomblatticeswithcounterdiabaticity |