Efficient Classical Processing of Constant-Depth Time Evolution Circuits in Control Hardware

Fuente: arXiv
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Main Authors: Francis, Akhil, Rajagopala, Abhi D., Tubman, Norm M., Klymko, Katherine, Nowrouzi, Kasra
Format: Preprint
Published: 2025
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author Francis, Akhil
Rajagopala, Abhi D.
Tubman, Norm M.
Klymko, Katherine
Nowrouzi, Kasra
author_facet Francis, Akhil
Rajagopala, Abhi D.
Tubman, Norm M.
Klymko, Katherine
Nowrouzi, Kasra
contents Improving quantum algorithms run-time performance involves several strategies such as reducing the quantum gate counts, decreasing the number of measurements, advancement in QPU technology for faster gate operations, or optimizing the classical processing. This work focuses on the latter, specifically reducing classical processing and compilation time via hardware-assisted parameterized circuit execution (PCE) for computing dynamical properties of quantum systems. PCE was previously validated for QCVV protocols, which leverages structural circuit equivalencies. We demonstrate the applicability of this approach to computing dynamical properties of quantum many-body systems using structurally equivalent time evolution circuits, specifically calculating correlation functions of spin models using constant-depth circuits generated via Cartan decomposition. Implementing this for spin-spin correlation functions in Transverse field XY (up to 6-sites) and Heisenberg spin models (up to 3-sites), we observed a run-time reduction of up to 50\% compared to standard compilation methods. This highlights the adaptability of time-evolution circuit with hardware-assisted PCE to potentially mitigate the classical bottlenecks in near-term quantum algorithms.
format Preprint
id arxiv_https___arxiv_org_abs_2507_12765
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Efficient Classical Processing of Constant-Depth Time Evolution Circuits in Control Hardware
Francis, Akhil
Rajagopala, Abhi D.
Tubman, Norm M.
Klymko, Katherine
Nowrouzi, Kasra
Quantum Physics
Emerging Technologies
Improving quantum algorithms run-time performance involves several strategies such as reducing the quantum gate counts, decreasing the number of measurements, advancement in QPU technology for faster gate operations, or optimizing the classical processing. This work focuses on the latter, specifically reducing classical processing and compilation time via hardware-assisted parameterized circuit execution (PCE) for computing dynamical properties of quantum systems. PCE was previously validated for QCVV protocols, which leverages structural circuit equivalencies. We demonstrate the applicability of this approach to computing dynamical properties of quantum many-body systems using structurally equivalent time evolution circuits, specifically calculating correlation functions of spin models using constant-depth circuits generated via Cartan decomposition. Implementing this for spin-spin correlation functions in Transverse field XY (up to 6-sites) and Heisenberg spin models (up to 3-sites), we observed a run-time reduction of up to 50\% compared to standard compilation methods. This highlights the adaptability of time-evolution circuit with hardware-assisted PCE to potentially mitigate the classical bottlenecks in near-term quantum algorithms.
title Efficient Classical Processing of Constant-Depth Time Evolution Circuits in Control Hardware
topic Quantum Physics
Emerging Technologies
url https://arxiv.org/abs/2507.12765