Bootstrapping Quantum Hamiltonians with Symmetry.

Authors

Michael G Scheer

Published in

Physical review letters. Volume 136. Issue 24. Pages 246501. Jun 19, 2026.

Abstract

We describe a semidefinite relaxation method which finds lower bounds to the ground state energy of a quantum Hamiltonian subject to Hermitian linear constraints along with approximations of ground state expectation values. We show that symmetry can be used to significantly reduce the computational requirements, and we include unitary, antiunitary, discrete, and continuous symmetries in our analysis. We demonstrate our method using the 1D Hubbard model and find quantitative agreement with both exact diagonalization and the Bethe ansatz.

PMID:
42412469
Bibliographic data and abstract were imported from PubMed on 07 Jul 2026.

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