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New quantum algorithm counts global optima for classical optimization problems

Researchers have developed a novel quantum algorithm, CTPQsd#, designed to count the global optima of classical optimization problems. This algorithm leverages a perturbative relationship between the decoherence measure of a small probe and the degeneracy of the problem when both are in a canonical thermal pure quantum (CTPQ) state. Numerical simulations have demonstrated the algorithm's ability to accurately count global minima and identify near-degenerate minima within a specified energy tolerance, by confining measurements to a four-qubit probe. AI

RANK_REASON The cluster contains a research paper detailing a new algorithm. [lever_c_demoted from research: ic=1 ai=0.4]

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New quantum algorithm counts global optima for classical optimization problems

COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Malay Marut Das, Mark A. Novotny, Yaroslav Koshka ·

    Degeneracy Counting Quantum Algorithm using Decoherence

    arXiv:2608.14941v1 Announce Type: new Abstract: Counting the global optima of a classical optimization problem is a #P-hard task. We develop the canonical thermal pure quantum (CTPQ) state-based degeneracy counting (CTPQsd#) algorithm that determines the number of global optima o…