dorsal/arxiv
View SchemaQuantum circuit compilation for fermionic excitations using the Jordan-Wigner mapping
| Authors | Renata Wong |
|---|---|
| Categories | |
| ArXiv ID | 2601.07890vv1 |
| URL | https://arxiv.org/abs/2601.07890 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
This note bridges the gap between theoretical second quantization and practical quantum hardware by detailing the Jordan-Wigner mapping for the Unitary Coupled Cluster Singles and Doubles (UCCSD) ansatz. Using the hydrogen molecule in a minimal basis as a case study, we explicitly derive the Pauli strings required for single and double excitations. Additionally, we discuss the translation of these operators into quantum circuits, with a focus on implementation nuances such as the difference between mathematical rotations and physical gates like the $\sqrt{X}$ (SX) gate.
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"abstract": "This note bridges the gap between theoretical second quantization and practical quantum hardware by detailing the Jordan-Wigner mapping for the Unitary Coupled Cluster Singles and Doubles (UCCSD) ansatz. Using the hydrogen molecule in a minimal basis as a case study, we explicitly derive the Pauli strings required for single and double excitations. Additionally, we discuss the translation of these operators into quantum circuits, with a focus on implementation nuances such as the difference between mathematical rotations and physical gates like the $\\sqrt{X}$ (SX) gate.",
"arxiv_id": "2601.07890",
"authors": [
"Renata Wong"
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"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Quantum circuit compilation for fermionic excitations using the Jordan-Wigner mapping",
"url": "https://arxiv.org/abs/2601.07890",
"version": "v1"
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