Importance of the Spectral gap in Estimating Ground-State Energies

The field of quantum Hamiltonian complexity lies at the intersection of quantum many-body physics and computational complexity theory, with deep implications to both fields. The main object of study is the LocalHamiltonian problem, which is concerned with estimating the ground-state energy of a loca...

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Bibliographic Details
Main Authors: Abhinav Deshpande, Alexey V. Gorshkov, Bill Fefferman
Format: Article
Language:English
Published: American Physical Society 2022-12-01
Series:PRX Quantum
Online Access:http://doi.org/10.1103/PRXQuantum.3.040327