典型文献
Variational quantum eigensolvers by variance minimization
文献摘要：
The original variational quantum eigensolver(VQE)typically minimizes energy with hybrid quantum-classical op-timization that aims to find the ground state.Here,we propose a VQE based on minimizing energy variance and call it the variance-VQE,which treats the ground state and excited states on the same footing,since an arbitrary eigenstate for a Hamiltonian should have zero energy variance.We demonstrate the properties of the variance-VQE for solving a set of excited states in quantum chemistry problems.Remarkably,we show that optimization of a combination of energy and variance may be more efficient to find low-energy excited states than those of minimizing energy or variance alone.We further reveal that the optimization can be boosted with stochastic gradient descent by Hamiltonian sampling,which uses only a few terms of the Hamiltonian and thus significantly reduces the quantum resource for evaluating variance and its gradients.
文献关键词：
中图分类号：
作者姓名：
Dan-Bo Zhang;Bin-Lin Chen;Zhan-Hao Yuan;Tao Yin
作者机构：
Guangdong-Hong Kong Joint Laboratory of Quantum Matter,Frontier Research Institute for Physics,South China Normal University,Guangzhou 510006,China;Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials,School of Physics and Telecommunication Engineering,South China Normal University,Guangzhou 510006,China;Guangzhou Educational Infrastructure and Equipment Center,Guangzhou 510006,China;Yuntao Quantum Technologies,Shenzhen 518000,China
文献出处：
引用格式：
[1]Dan-Bo Zhang;Bin-Lin Chen;Zhan-Hao Yuan;Tao Yin-.Variational quantum eigensolvers by variance minimization)[J].中国物理B（英文版）,2022(12):268-275
A类：
eigensolvers,eigensolver
B类：
Variational,quantum,by,variance,minimization,original,variational,VQE,typically,minimizes,energy,hybrid,classical,that,aims,find,ground,Here,we,propose,minimizing,which,treats,excited,states,same,footing,since,arbitrary,eigenstate,Hamiltonian,should,have,zero,We,demonstrate,properties,solving,set,chemistry,problems,Remarkably,show,optimization,combination,may,be,more,efficient,low,than,those,alone,further,reveal,boosted,stochastic,descent,sampling,uses,only,few,terms,thus,significantly,reduces,resource,evaluating,its,gradients
AB值：
0.518751
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