Implement lazy Generator / Operator types #33
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We implement a data structure for a time-dependent generator and a static operator that can be evaluated lazily. That is, `H(t) = H₀ + ϵ₁(t) H₁ + ϵ₂(t) H₂` is applied to a state `|Ψ⟩` by first applying `ϵ₂(t) H₂`, then `ϵ₁(t) H₁`, and lastly `H₀` and summing the resulting states. This is in contrast to summing up the terms of `H(t)` into a single matrix and then applying that to the vector. The lazy approach is significantly faster, by at least a factor of 3, and possibly much more for sparse matrices. This commit also includes some larger changes: * Renamed `QuantumPropagators.Controls` to `QuantumControl.Generators` * Add `hamiltonian` and `liouvillian` functions. The latter was moved from `QuantumControlBase`. * New API documentation (generated) * Add page "Dynamical Generators" to the documentation * Change return type of `getcontrolderiv`: it now returns a generator, which then can be converted into an `Operator` via `evalcontrols` * Introduce "control amplitudes" concept within the new `Generator` type
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We implement a data structure for a time-dependent generator and a static operator that can be evaluated lazily. That is,
H(t) = H₀ + ϵ₁(t) H₁ + ϵ₂(t) H₂is applied to a state|Ψ⟩by first applyingϵ₂(t) H₂, thenϵ₁(t) H₁, and lastlyH₀and summing the resulting states. This is in contrast to summing up the terms ofH(t)into a single matrix and then applying that to the vector. The lazy approach is significantly faster, by at least a factor of 3, and possibly much more for sparse matrices.This commit also includes some larger changes:
QuantumPropagators.ControlstoQuantumControl.Generatorshamiltonianandliouvillianfunctions. The latter was moved fromQuantumControlBase.getcontrolderiv: it now returns a generator, which then can be converted into anOperatorviaevalcontrolsGeneratortype