Simulating Supersymmetric Quantum Mechanics Using Variational Quantum Algorithms

• URL: http://arxiv.org/abs/2603.18749v1
• Date: Thu, 19 Mar 2026 10:54:58 GMT
• Title: Simulating Supersymmetric Quantum Mechanics Using Variational Quantum Algorithms
• Abstract summary: We present the variational quantum eigensolver (VQE) for supersymmetric quantum mechanics with various superpotentials.<n>A key new feature is an adaptive ansatz construction algorithm that reduces the number of variational parameters within our anstze.<n>Preliminary VQE results obtained from real IBM quantum devices highlight accuracy, resource constraints, and computational cost.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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