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This paper bridges quantum chemistry and quantum computing by deriving the Unitary Coupled Cluster ansatz directly from fermionic algebra, offering a clearer path to hardware-realizable circuits for coupled cluster theory. By explicitly linking second quantization with the Jordan-Wigner mapping, the work addresses critical implementation details like operator locality and commutation structures that often obscure the translation between theoretical models and physical qubits.

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

arXivJune 8, 20261 min read

arXiv:2601.07890v3 Announce Type: replace 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.

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.

12 pages. 2 figures

arXiv:2601.07890 [quant-ph]

(or arXiv:2601.07890v3 [quant-ph] for this version)

Full text under the publisher's open licence · 66 words

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