Certified accuracy of a Hubbard simulator where numerics fail
In plain words
Once a simulator goes where computers cannot follow, nobody can check its answers by calculation. The task is to bound its errors using only independent calibrations.
Precise statement
Choose a point $(U/t, \delta, T/t)$ where unbiased numerical methods lose control (for example $U/t = 8, \delta = 0.1, T/t < 0.1$). Using Hamiltonian learning of $t, t', U$ and harmonic confinement, entropy thermometry, and stability bounds, give a certified error bar on the nearest-neighbour spin correlator $C(1,0)$ and on the density. Answer: an error budget with all sources listed and a total below $5\%$.
What would settle it
A published error budget combining in-situ Hamiltonian calibration with a proof or numerical bound on how parameter errors propagate to local observables.
Parent problems
- Special case of A scalable protocol to certify analog simulator outputs · open · from revision 1
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