[2607.02112] A 2048-spin bulk acoustic wave Ising machine for number partitioning and Sudoku

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Condensed Matter > Mesoscale and Nanoscale Physics

arXiv:2607.02112 (cond-mat)

[Submitted on 2 Jul 2026]

Title:A 2048-spin bulk acoustic wave Ising machine for number partitioning and Sudoku

Authors:Venkatesh Vadde, Roman Ovcharov, Victor H. González, Roman Khymyn, Artem Litvinenko, Johan Åkerman<br>View a PDF of the paper titled A 2048-spin bulk acoustic wave Ising machine for number partitioning and Sudoku, by Venkatesh Vadde and 5 other authors

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Abstract:Optical coherent Ising machines based on time-multiplexing have demonstrated significant progress in terms of connectivity and spin scalability. However, they are constrained by large physical footprints, high power consumption, poor thermal stability, and high cost. Here, we present a time-multiplexed Ising machine leveraging propagating wave packets in solid-state delay lines at microwave frequencies, enabling thermally stable, robust, low-power, tabletop, and affordable design. We use two serially connected 20.5 MHz, 707 {\mu}s bulk acoustic wave delay lines supporting 2,048 spins. Our design provides all-to-all connectivity with 15-bit coupling resolution and finds approximate MAX-CUT solutions in 341 ms, potentially scalable to sub-ms by using higher frequency delay lines. Additionally, we demonstrate solutions to number partitioning and Sudoku problems. Compared with state-of-the-art Coherent Ising machines, our machine exhibits four orders of magnitude higher thermal stability. Against the simulated bifurcation algorithm, our design achieves comparable results on the MAX-CUT problem, while outperforming it on the more complex number-partitioning and Sudoku problems.

Subjects:

Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Hardware Architecture (cs.AR); Applied Physics (physics.app-ph)

Cite as:<br>arXiv:2607.02112 [cond-mat.mes-hall]

(or<br>arXiv:2607.02112v1 [cond-mat.mes-hall] for this version)

https://doi.org/10.48550/arXiv.2607.02112

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arXiv-issued DOI via DataCite (pending registration)

Submission history<br>From: Venkatesh Vadde [view email]<br>[v1]<br>Thu, 2 Jul 2026 12:44:47 UTC (18,538 KB)

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