Planted-Solution Pauli Hamiltonians as a Quantum Benchmarking Primitive

Amir Kalev; Itay Hen

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arXiv · 2606.11455

Planted-Solution Pauli Hamiltonians as a Quantum Benchmarking Primitive

Amir Kalev·Itay Hen

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Abstract

We introduce a construction of Pauli Hamiltonians with exactly known ground-state energies, intended as reference instances for ground-state energy estimation algorithms. The construction embeds a planted block-product state as the simultaneous ground state of a sum of frustration-free local clauses on overlapping supports, exposes the resulting model only as a polynomial-size linear combination of Pauli operators, and admits optional Clifford conjugation that preserves the spectrum. The framework subsumes classical planted constraint-satisfaction problems as a diagonal special case, providing a direct embedding channel through which classical hardness properties can be inherited. Open-source software, certification keys, and example instances are made publicly available.

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Amir Kalev, Itay Hen. 2026-06-09. Planted-Solution Pauli Hamiltonians as a Quantum Benchmarking Primitive. https://arxiv.org/abs/2606.11455

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