Improved Strategies for Fermionic Quantum Simulation with Global Interactions

Fuente: arXiv
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Autores principales: Kaldenbach, Thierry N., Schultheis, Erik, Stewen, Niklas, Breuil, Gabriel
Formato: Preprint
Publicado: 2025
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author Kaldenbach, Thierry N.
Schultheis, Erik
Stewen, Niklas
Breuil, Gabriel
author_facet Kaldenbach, Thierry N.
Schultheis, Erik
Stewen, Niklas
Breuil, Gabriel
contents We present efficient quantum circuits for fermionic excitation operators tailored for ion trap quantum computers exhibiting the Mølmer-Sørensen (MS) gate. Such operators commonly arise in the study of static and dynamic properties in electronic structure problems using Unitary Coupled Cluster theory or Trotterized time evolution. We detail how the global MS interaction naturally suits the non-local structure of fermionic excitation operators under the Jordan-Wigner mapping and simultaneously provides optimal parallelism in their circuit decompositions. Compared to previous schemes on ion traps, our approach reduces the number of MS gates by factors of 2-, and 4, for single-, and double excitations, respectively. These improvements promise significant speedups and error reductions, which we demonstrate by characterizing our circuits under a realistic pulse-level noise model of a linear ion trap quantum processor.
format Preprint
id arxiv_https___arxiv_org_abs_2504_03237
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Improved Strategies for Fermionic Quantum Simulation with Global Interactions
Kaldenbach, Thierry N.
Schultheis, Erik
Stewen, Niklas
Breuil, Gabriel
Quantum Physics
Materials Science
Strongly Correlated Electrons
We present efficient quantum circuits for fermionic excitation operators tailored for ion trap quantum computers exhibiting the Mølmer-Sørensen (MS) gate. Such operators commonly arise in the study of static and dynamic properties in electronic structure problems using Unitary Coupled Cluster theory or Trotterized time evolution. We detail how the global MS interaction naturally suits the non-local structure of fermionic excitation operators under the Jordan-Wigner mapping and simultaneously provides optimal parallelism in their circuit decompositions. Compared to previous schemes on ion traps, our approach reduces the number of MS gates by factors of 2-, and 4, for single-, and double excitations, respectively. These improvements promise significant speedups and error reductions, which we demonstrate by characterizing our circuits under a realistic pulse-level noise model of a linear ion trap quantum processor.
title Improved Strategies for Fermionic Quantum Simulation with Global Interactions
topic Quantum Physics
Materials Science
Strongly Correlated Electrons
url https://arxiv.org/abs/2504.03237