Grid-based methods for chemistry simulations on a quantum computer

• URL: http://arxiv.org/abs/2202.05864v4
• Date: Mon, 16 Jan 2023 15:41:44 GMT
• Title: Grid-based methods for chemistry simulations on a quantum computer
• Authors: Hans Hon Sang Chan, Richard Meister, Tyson Jones, David P. Tew, Simon C. Benjamin
• Abstract summary: We employ exactly-emulated quantum computers with up to 36 qubits to execute deep yet resource-frugal algorithms. A range of tasks is explored, from ground state preparation and energy estimation to the dynamics of scattering and ionisation. While we identify certain restrictions and caveats, generally the grid-based method is found to perform very well.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: First quantized, grid-based methods for chemistry modelling are a natural and elegant fit for quantum computers. However, it is infeasible to use today's quantum prototypes to explore the power of this approach, because it requires a significant number of near-perfect qubits. Here we employ exactly-emulated quantum computers with up to 36 qubits, to execute deep yet resource-frugal algorithms that model 2D and 3D atoms with single and paired particles. A range of tasks is explored, from ground state preparation and energy estimation to the dynamics of scattering and ionisation; we evaluate various methods within the split-operator QFT (SO-QFT) Hamiltonian simulation paradigm, including protocols previously-described in theoretical papers as well as our own novel techniques. While we identify certain restrictions and caveats, generally the grid-based method is found to perform very well; our results are consistent with the view that first quantized paradigms will be dominant from the early fault-tolerant quantum computing era onward.

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