no code implementations • 6 Jun 2023 • Gili Rosenberg, J. Kyle Brubaker, Martin J. A. Schuetz, Grant Salton, Zhihuai Zhu, Elton Yechao Zhu, Serdar Kadıoğlu, Sima E. Borujeni, Helmut G. Katzgraber
We combine the expressivity and efficiency of the native local optimizer with the fast operation of these devices by executing non-local moves that optimize over subtrees of the full Boolean formula.
no code implementations • 3 Feb 2023 • Martin J. A. Schuetz, J. Kyle Brubaker, Helmut G. Katzgraber
Conversely, we highlight the broader algorithmic development underlying our original work, and (within our original framework) provide additional numerical results showing sizable improvements over our original results, thereby refuting the comment's performance statements.
no code implementations • 3 Feb 2023 • Martin J. A. Schuetz, J. Kyle Brubaker, Helmut G. Katzgraber
We provide a comprehensive reply to the comment written by Stefan Boettcher [arXiv:2210. 00623] and argue that the comment singles out one particular non-representative example problem, entirely focusing on the maximum cut problem (MaxCut) on sparse graphs, for which greedy algorithms are expected to perform well.
no code implementations • 8 Jun 2022 • Martin J. A. Schuetz, J. Kyle Brubaker, Henry Montagu, Yannick van Dijk, Johannes Klepsch, Philipp Ross, Andre Luckow, Mauricio G. C. Resende, Helmut G. Katzgraber
We solve robot trajectory planning problems at industry-relevant scales.
1 code implementation • 3 Feb 2022 • Martin J. A. Schuetz, J. Kyle Brubaker, Zhihuai Zhu, Helmut G. Katzgraber
We show how graph neural networks can be used to solve the canonical graph coloring problem.
3 code implementations • 2 Jul 2021 • Martin J. A. Schuetz, J. Kyle Brubaker, Helmut G. Katzgraber
Combinatorial optimization problems are pervasive across science and industry.
no code implementations • 17 Dec 2020 • Miguel Bello, Mónica Benito, Martin J. A. Schuetz, Gloria Platero, Géza Giedke
We propose a protocol for the deterministic generation of entanglement between two ensembles of nuclear spins surrounding two distant quantum dots.
Mesoscale and Nanoscale Physics Quantum Physics