Nuclear Many-Body Systems as Benchmarks for Quantum Computing

• URL: http://arxiv.org/abs/2607.08047v1
• Date: Thu, 09 Jul 2026 01:53:39 GMT
• Title: Nuclear Many-Body Systems as Benchmarks for Quantum Computing
• Abstract summary: We present a framework for benchmarking quantum algorithms for nuclear many-body systems.<n>We map nuclear interactions in second quantization formalism to qubit Hamiltonians.<n>We provide resource estimates for three representative eigenvalue algorithms.
• Score: 39.146761527401424
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present a framework for benchmarking quantum algorithms for nuclear many-body systems based on realistic nuclear Hamiltonians such as chiral effective field theory. To this effect we introduce a workflow that maps nuclear interactions in second quantization formalism to qubit Hamiltonians. This enables the systematic construction of benchmark instances spanning no-core and valence-space formulations with two-body (NN) and selected three-body (3N) interactions. Then, we proceed to provide resource estimates for three representative eigenvalue algorithms: Quantum Phase Estimation, Quantum Krylov methods, and Observable Dynamic Mode Decomposition. We compare their resource requirements in terms of T-gate counts and system size, and examine the impact of model-space choices and many-body interactions. The primitives included in our analysis are Trotterization, Qubitization, and Quantum Singular Value Transformation. Our results quantify scaling trends across algorithms and problem classes, and provide a basis for consistent comparisons of quantum approaches to nuclear many-body problems. The implementation is provided by the NuQuLib software stack.

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