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Preprint Oct 2026

Standard Quadratic Formulations of Many NP Problems: A Simplex-Based Compilation Framework for Combinatorial Optimization

The standard quadratic program (StQP) minimizes a quadratic form over nonnegative variables that sum to one. We compose classical graph reductions with regularized Motzkin--Straus clique formulations to express discrete optimization problems in this continuous domain. The graph matrix has diagonal entries $\tau$, zeros...

M. Miri, Babak Emami, Po-Jen Wang · 0 citations
Preprint Sep 2026

Motzkin-Straus Optimization on an Entropy-Computing Platform

We introduce a framework for combinatorial optimization using sum-constrained continuous quadratic programs solvable by QCi's Dirac-3S photonic entropy computer. This is enabled by the Motzkin-Straus theorem which provides a powerful bridge between discrete clique problems and optimization over the probability simplex....

Po-Jen Wang, Sutapa Samanta, Yun-Tai Song et al. · 0 citations

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