A mixed-integer program for circuit execution time minimization with precedence constraints

Fuente: arXiv
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Autori principali: Atallah, Mostafa, Ostrowski, James, Herrman, Rebekah
Natura: Preprint
Pubblicazione: 2025
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author Atallah, Mostafa
Ostrowski, James
Herrman, Rebekah
author_facet Atallah, Mostafa
Ostrowski, James
Herrman, Rebekah
contents We present a mixed-integer programming (MIP) model for scheduling quantum circuits to minimize execution time. Our approach maximizes parallelism by allowing non-overlapping gates (those acting on distinct qubits) to execute simultaneously. Our methods apply to general circuits with precedence constraints. First, we derive closed-formulas for the execution time of circuits generated by ma-QAOA on star graphs for a layered, greedy, and MIP schedules. We then compare the MIP schedule against layered and greedy scheduling approaches on the circuits generated by ma-QAOA for solving the MaxCut problem on all non-isomorphic connected graphs with 3-7 vertices. These experiments demonstrate that the MIP scheduler consistently results in shorter circuit execution times than greedy and layered approaches, with up to 24\% savings.
format Preprint
id arxiv_https___arxiv_org_abs_2504_09268
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A mixed-integer program for circuit execution time minimization with precedence constraints
Atallah, Mostafa
Ostrowski, James
Herrman, Rebekah
Quantum Physics
We present a mixed-integer programming (MIP) model for scheduling quantum circuits to minimize execution time. Our approach maximizes parallelism by allowing non-overlapping gates (those acting on distinct qubits) to execute simultaneously. Our methods apply to general circuits with precedence constraints. First, we derive closed-formulas for the execution time of circuits generated by ma-QAOA on star graphs for a layered, greedy, and MIP schedules. We then compare the MIP schedule against layered and greedy scheduling approaches on the circuits generated by ma-QAOA for solving the MaxCut problem on all non-isomorphic connected graphs with 3-7 vertices. These experiments demonstrate that the MIP scheduler consistently results in shorter circuit execution times than greedy and layered approaches, with up to 24\% savings.
title A mixed-integer program for circuit execution time minimization with precedence constraints
topic Quantum Physics
url https://arxiv.org/abs/2504.09268