Optimizing sparse fermionic Hamiltonians

We consider the problem of approximating the ground state energy of a fermionic Hamiltonian using a Gaussian state. In sharp contrast to the dense case [1, 2], we prove that strictly $q$-local $\rm {\textit {sparse}}$ fermionic Hamiltonians have a constant Gaussian approximation ratio; the result ho...

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Bibliographic Details
Main Authors: Yaroslav Herasymenko, Maarten Stroeks, Jonas Helsen, Barbara Terhal
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2023-08-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2023-08-10-1081/pdf/

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