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arXiv · 2512.09896

A 0.8395-approximation algorithm for the EPR problem

Anuj Apte·Eunou Lee·Kunal Marwaha·Ojas Parekh·Lennart Sinjorgo·James Sud
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Abstract

We give an efficient 0.8395-approximation algorithm for the EPR Hamiltonian. Our improvement comes from a new nonlinear monogamy-of-entanglement bound on star graphs and a refined parameterization of a shallow quantum circuit from previous works. We also prove limitations showing that current methods cannot achieve substantially better approximation ratios, indicating that further progress will require fundamentally new techniques.

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Anuj Apte, Eunou Lee, Kunal Marwaha, Ojas Parekh, Lennart Sinjorgo, James Sud. 2025-12-10. A 0.8395-approximation algorithm for the EPR problem. https://arxiv.org/abs/2512.09896

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