TY  - EJOUR
AU  - Wang, Xiaoyang
AU  - Chai, Yahui
AU  - Demidik, Maria
AU  - Feng, Xu
AU  - Jansen, Karl
AU  - Tüysüz, Cenk
TI  - Symmetry enhanced variational quantum imaginary time evolution
IS  - arXiv:2307.13598
M1  - PUBDB-2023-04600
M1  - arXiv:2307.13598
PY  - 2023
N1  - 19 pages, 5 figures, 4 tables
AB  - The variational quantum imaginary time evolution (VarQITE) algorithm is a near-term method to prepare the ground state and Gibbs state of Hamiltonians. Finding an appropriate parameterization of the quantum circuit is crucial to the success of VarQITE. This work provides guidance for constructing parameterized quantum circuits according to the locality and symmetries of the Hamiltonian. Our approach can be used to implement the unitary and anti-unitary symmetries of a quantum system, which significantly reduces the depth and degree of freedom of the parameterized quantum circuits. To benchmark the proposed parameterized quantum circuits, we carry out VarQITE experiments on statistical models. Numerical results confirm that the symmetry-enhanced circuits outperform the frequently-used parametrized circuits in the literature.
KW  - model, statistical (INSPIRE)
KW  - quantum circuit (INSPIRE)
KW  - Hamiltonian (INSPIRE)
KW  - variational (INSPIRE)
KW  - unitarity (INSPIRE)
KW  - ground state (INSPIRE)
KW  - benchmark (INSPIRE)
KW  - parametrization (INSPIRE)
KW  - numerical calculations (INSPIRE)
LB  - PUB:(DE-HGF)25
UR  - https://bib-pubdb1.desy.de/record/587904
ER  -