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quant-ph2023★ 17 cited
Certified algorithms for equilibrium states of local quantum Hamiltonians
Hamza Fawzi, Omar Fawzi, Samuel O. Scalet
Predicting observables in equilibrium states is a central yet notoriously hard question in quantum many-body systems. In the physically relevant thermodynamic limit, certain mathem…
quant-ph2023★ 11 cited
Entropy Constraints for Ground Energy Optimization
Hamza Fawzi, Omar Fawzi, Samuel O. Scalet
We study the use of von Neumann entropy constraints for obtaining lower bounds on the ground energy of quantum many-body systems. Known methods for obtaining certificates on the gr…