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arXiv · 2504.09268

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

Mostafa Atallah·James Ostrowski·Rebekah Herrman
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Abstract

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.

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Mostafa Atallah, James Ostrowski, Rebekah Herrman. 2025-04-12. A mixed-integer program for circuit execution time minimization with precedence constraints. https://arxiv.org/abs/2504.09268

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