Table 1 Glossary of Notations
From: Practical Hamiltonian learning with unitary dynamics and Gibbs states
Symbol | Definition |
|---|---|
ϵ | Targeted error (in the ℓ∞ norm) for recovering the Hamiltonian coefficients (Definition 1) |
δ | Maximum allowable probability that the recovery (up to an error ϵ) fails (Definition 1) |
r | Number of coefficients to learn in the Hamiltonian (Definition 1) |
\({{{{{{{\mathscr{D}}}}}}}}\) | The degree of the Hamiltonian – measures the connectedness of H (Definition 2) |
Ï„ | A typical time scale for the Hamiltonian H (Definition 3) |
N | Number of samples required in evaluating f at one point (Definition 4) |
A | Maximum evolution time prescribed by the Hamiltonian learning algorithm (Definition 4) |
L | Fitting polynomial degree prescribed by the Hamiltonian learning algorithm (Definition 4) |