Simulating Supersymmetric Quantum Mechanics Using Variational Quantum Algorithms

Kerfoot, John, Schaich, David ORCID: 0000-0002-9826-2951 and Mendicelli, Emanuele ORCID: 0000-0002-1927-2861 (2026) Simulating Supersymmetric Quantum Mechanics Using Variational Quantum Algorithms [Preprint]

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Abstract

The study of spontaneous supersymmetry breaking (SSB) on the lattice is obstructed by a severe sign problem. Quantum computing provides a promising alternative approach. In particular, properties of supersymmetry relate SSB to the ground-state energy, which can be probed using hybrid quantum--classical algorithms such as the variational quantum eigensolver (VQE). In this work we present VQE analyses for supersymmetric quantum mechanics with various superpotentials. A key new feature is an adaptive ansatz construction algorithm that reduces the number of variational parameters within our ansätze. This lowers the resource burden on both the classical optimizer and the noisy quantum processor, thereby improving the feasibility of these calculations in the NISQ era. Additionally, we present preliminary VQE results obtained from real IBM quantum devices, highlighting accuracy, resource constraints, and computational cost, both with and without the application of error mitigation techniques.

Item Type:	Preprint
Additional Information:	10 pages, 2 figures, Contribution to the 42nd International Symposium on Lattice Field Theory (LATTICE2025)
Uncontrolled Keywords:	quant-ph, quant-ph, hep-lat
Divisions:	Faculty of Science & Engineering Faculty of Science & Engineering > School of Physical Sciences Faculty of Science & Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	08 Apr 2026 14:58
Last Modified:	22 Apr 2026 14:40
DOI:	10.48550/arxiv.2603.18749
Open Access URL:	https://arxiv.org/abs/2603.18749
Related Websites:	Author
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3197854
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