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arXiv · 2601.07890

Quantum circuit synthesis for fermionic excitations in coupled cluster theory using the Jordan-Wigner mapping

Yu-Hao Chen·Renata Wong
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Abstract

This work provides a quantum-computing-first derivation of the Unitary Coupled Cluster ansatz, showing that its structure emerges naturally from fermionic algebra under unitary constraints. By explicitly connecting second quantization, Jordan-Wigner mapping, and circuit synthesis, we clarify conceptual gaps between quantum chemistry and quantum computing implementations, particularly regarding operator locality, commutation structure, and hardware realization.

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Yu-Hao Chen, Renata Wong. 2026-01-12. Quantum circuit synthesis for fermionic excitations in coupled cluster theory using the Jordan-Wigner mapping. https://arxiv.org/abs/2601.07890

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