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Quantum eigensolver on extension of optimized binary configurations

delete2024-11-20
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PRE
AI
H
Hayun Park
H
Hunpyo Lee *
DOI:10.1103/PhysRevB.110.205142delete
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摘要

摘要

En 中文
We developed a quantum eigensolver (QE), which is based on an extension of optimized binary configurations measured by quantum annealing (QA) on a D-Wave quantum annealer (D-Wave QA). This approach performs iterative QA measurements to optimize the eigenstates |v' ) without the derivation of a classical computer. The computational cost is rj ML for full eigenvalues E and |v') of the Hamiltonian H of size L x L , where M and rj are the number of QA measurements required to reach the converged |v' ) and the total annealing time of many QA shots, respectively. Unlike the exact diagonalization algorithm with L 3 iterations on a classical computer, the computation cost is not significantly affected by L and M because rj represents a very short time within 10-2 seconds on the D-Wave QA. We selected the tight-binding H that contains the exact E values of all energy states in two systems with metallic and insulating phases. We confirmed that the proposed QE algorithm provides exact solutions within the errors of 5 x 10-3. Finally, we believe that the newly developed QE algorithm will be widely used for various applications such as material and drug design.

期刊

Physical Review B 封面图
Physical Review B
IF:
3.7
论文数:
15.4W
被引数:
41.0W

机构

K
Kangwon National University
学者数:
1.0W
论文数: 9.4K
被引数: 13
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