期刊
PHYSICAL CHEMISTRY CHEMICAL PHYSICS
卷 22, 期 23, 页码 12980-12986出版社
ROYAL SOC CHEMISTRY
DOI: 10.1039/d0cp01707h
关键词
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资金
- Google Quantum Research Program, Early Researcher Award
- Natural Sciences and Engineering Research Council of Canada
One of the main challenges in the variational quantum eigensolver (VQE) framework is construction of the unitary transformation. The dimensionality of the space for unitary rotations ofNqubits is 4(N)- 1, which makes the choice of a polynomial subset of generators an exponentially difficult process. Moreover, due to non-commutativity of generators, the order in which they are used strongly affects results. Choosing the optimal order in a particular subset of generators requires testing the factorial number of combinations. We propose an approach based on the Lie algebra-Lie group connection and corresponding closure relations that systematically eliminates the order problem.
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