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SUMMARY:Certified algorithms for equilibrium states of local quantum Hamil
 tonians - Hamza Fawzi\, University of Cambridge
DTSTART:20250522T120000Z
DTEND:20250522T130000Z
UID:TALK229999@talks.cam.ac.uk
CONTACT:122734
DESCRIPTION:In this talk\, I will describe an algorithm for computing expe
 ctation values of observables in the equilibrium states of local quantum H
 amiltonians\, both at zero and positive temperature. The algorithm is base
 d on convex optimization and relies on a characterization of Gibbs states 
 in terms of energy-entropy balance inequalities. Importantly\, the algorit
 hm outputs rigorous lower and upper bounds\, which allows us to show that 
 expectation values of local observables can be approximated in finite time
 \, contrasting related undecidability results. Based on joint work with Om
 ar Fawzi and Samuel Scalet (arXiv:2311.18706).
LOCATION:MR9
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