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Low-Depth Unitary Coupled Cluster Theory for Quantum Computation
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DOI：10.1021/acs.jctc.1c01026.png)
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Abstract
En 中文
The unitary coupled cluster (UCC) approximation is one of the more promising wave function ansa''tzes for electronic structure calculations on quantum computers via the variational quantum eigensolver algorithm. However, for large systems with many orbitals, the required number of UCC factors still leads to very deep quantumcircuits, which can be challenging to implement. Based on the observation that mostUCC amplitudes are small for both weakly correlated and strongly correlated molecules,we devise an algorithm that employs a Taylor expansion in the small amplitudes, tradingoffcircuit depth for extra measurements. Strong correlations can be taken into account by performing the expansion about a small set of UCC factors, which are treated exactly. Near equilibrium, the Taylor series expansion often works well without the need to include any exact factors; as the molecule is stretched and correlations increase, we find only a small number of factors need to be treated exactly
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SIMULATIONS
ALGORITHM
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