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An adaptive variational algorithm for exact molecular simulations on a quantum computer

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arxiv 1812.11173 v2 pith:SLGLSU7I submitted 2018-12-28 quant-ph cond-mat.str-elphysics.chem-ph

An adaptive variational algorithm for exact molecular simulations on a quantum computer

classification quant-ph cond-mat.str-elphysics.chem-ph
keywords algorithmquantumsimulationsansatzvariationaladaptivechemicalexact
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Quantum simulation of chemical systems is one of the most promising near-term applications of quantum computers. The variational quantum eigensolver, a leading algorithm for molecular simulations on quantum hardware, has a serious limitation in that it typically relies on a pre-selected wavefunction ansatz that results in approximate wavefunctions and energies. Here we present an arbitrarily accurate variational algorithm that instead of fixing an ansatz upfront, this algorithm grows it systematically one operator at a time in a way dictated by the molecule being simulated. This generates an ansatz with a small number of parameters, leading to shallow-depth circuits. We present numerical simulations, including for a prototypical strongly correlated molecule, which show that our algorithm performs much better than a unitary coupled cluster approach, in terms of both circuit depth and chemical accuracy. Our results highlight the potential of our adaptive algorithm for exact simulations with present-day and near-term quantum hardware.

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Cited by 7 Pith papers

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