.png){kind=icon}
返回
Quantum algorithms for generator coordinate methods
.png){kind=icon}
OA
AI
DOI：10.1103/PhysRevResearch.5.023200.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
This paper discusses quantum algorithms for the generator coordinate method (GCM) that can be used to benchmark molecular systems. The GCM formalism defined by exponential operators with exponents defined through generators of the fermionic U(N) Lie algebra (Thouless theorem) offers a possibility of probing large subspaces using low-depth quantum circuits. In the present study, we illustrate the performance of the quantum algorithm for constructing a discretized form of the Hill-Wheeler equation for ground-and excited-state energies. We also generalize the standard GCM formulation to multiproduct extension that when collective paths are properly probed can systematically introduce higher rank effects and provide elementary mechanisms for symmetry purification when generator states break the spatial or spin symmetries. The GCM quantum algorithms also can be viewed as an alternative to existing variational quantum eigensolvers, where multistep classical optimization algorithms are replaced by a single-step procedure for solving the Hill-Wheeler eigenvalue problem.
Keyword:
COUPLED-CLUSTER METHOD
MOLECULAR-ORBITAL METHODS
HARTREE-FOCK EQUATIONS
STABILITY CONDITIONS
MEAN-FIELD
OPEN-SHELL
SYSTEMS
MOTION
MODEL
SIMULATION
期刊
IF:
4.2
论文数:
7.6K
被引数:
2.7W
机构
引用论文
分享收藏分享收藏A variational eigenvalue solver on a photonic quantum processor光子量子处理器上的变分特征值求解器.png)
NATURE COMMUNICATIONS
OAAI
NATURE COMMUNICATIONSIF15.7
OAAI分享收藏Multireference symmetry-projected variational approaches for ground and excited states of the one-dimensional Hubbard modelPHYSICAL REVIEW BOAAI
PHYSICAL REVIEW BIF3.7
OAAI分享收藏
查看更多内容