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DOE OSTI · 1764600

Effective matrix model for nuclear physics on a quantum computer

Miceli, Raffaele·McGuigan, Michael
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Abstract

In this project we studied a simplified potential from [1] describing nuclear physics from quark and gluon fields, where spatial degrees of freedom have been integrated over. This potential deals with the phase structure of the strong interaction. We created a matrix representation of the Hamiltonian for this theory using discrete quantum mechanics [2]. We then feed this Hamiltonian to IBM's Qiskit package [3]. We run on IBM's 32-qubit quantum simulator, which approximates the ground state energy using the variational quantum eigensolver (VQE) algorithm [4]. This result is then compared with the exact ground state energy, which we can calculate classically since the matrices we use are still small enough. The bosonic Hamiltonian for a 6-qubit representation took over 1000 Pauli factors to represent fully. To improve our performance, we can look for a more efficient representation of this model's Hamiltonian. We will develop a better variational trial wave function and initial state, as well as include the effect of fermions and heavy quarks on the potential.

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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICSQuantum computingStationary state

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Miceli, Raffaele, McGuigan, Michael. 2019-06-12. Effective matrix model for nuclear physics on a quantum computer. https://doi.org/10.1109/nysds.2019.8909693

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