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Error bounds for variational quantum time evolution

delete2023-10-23
delete10
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OA
AI
C
Christa Zoufal *
D
David Sutter
S
Stefan Woerner
DOI:10.1103/PhysRevApplied.20.044059delete
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摘要

摘要

En 中文
Variational quantum time evolution allows us to simulate the time dynamics of quantum systems with near-term compatible quantum circuits. Due to the variational nature of this method the accuracy of the simulation is a priori unknown. We derive a posteriori global phase agnostic error bounds for the state simulation accuracy with variational quantum time evolution that improve the tightness of fidelity esti-mates over existing a posteriori error bounds. These analysis tools are practically crucial for assessing the quality of the simulation and making informed choices about simulation hyperparameters. The effi-cient, a posteriori evaluation of the bounds can be tightly integrated with the variational time simulation and, hence, results in a minor resource overhead, which is governed by the system's energy variance. The performance of the error bounds is demonstrated on numerical examples.

期刊

Physical Review Applied 封面图
Physical Review Applied
IF:
4.4
论文数:
7.1K
被引数:
2.8W

机构

S
swiss federal institutes of technology domain
学者数:
9.0W
论文数: 8.0W
被引数: 163
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