2024
DOI: 10.1038/s41467-024-51592-3
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Certified algorithms for equilibrium states of local quantum Hamiltonians

Hamza Fawzi,
Omar Fawzi,
Samuel O. Scalet

Abstract: Predicting observables in equilibrium states is a central yet notoriously hard question in quantum many-body systems. In the physically relevant thermodynamic limit, certain mathematical formulations of this task have even been shown to result in undecidable problems. Using a finite-size scaling of algorithms devised for finite systems often fails due to the lack of certified convergence bounds for this limit. In this work, we design certified algorithms for computing expectation values of observables in the e… Show more

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