Variance Minimisation of the Lipkin-Meshkov-Glick Model on a Quantum Computer
arxiv(2024)
摘要
Quantum computing can potentially provide advantages for specific
computational tasks. The simulation of fermionic systems is one such task that
lends itself well to quantum computation, with applications in nuclear physics
and electronic systems. Here we present work in which we use a variance
minimisation method to find the full spectrum of energy eigenvalues of the
Lipkin-Meshkov-Glick model; an exactly-solvable nuclear shell model-type
system. We perform these calculations using both quantum simulators and real
quantum hardware accessed via IBM cloud-based quantum computers. Using these
IBM quantum computers we are able to obtain all eigenvalues for the cases of
three and seven fermions (nucleons) in the Lipkin-Meshkov-Glick model.
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