The content delves into the noncommutative sum-of-squares hierarchy applied to local Hamiltonians, focusing on approximating ground state energies. It introduces a new method inspired by Connes's noncommutative geometry to construct entangled states efficiently. The study highlights the significance of solving infinite-dimensional problems using the ncSoS hierarchy and provides theoretical guarantees for finding ground energy in the quantum rotor model.
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arxiv.org
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by Sujit Rao : arxiv.org 03-04-2024
https://arxiv.org/pdf/2311.09010.pdfDaha Derin Sorular