qit.seq.Seq¶
- class qit.seq.Seq(tau=None, control=None, name='')¶
Piecewise constant control sequences for quantum systems.
- Parameters
tau (array[float]) – durations of the time slices
control (array[float]) –
control[i, j]is the value of control field j during time slice i.shape == (len(tau), len(B)).name (str) – name of the sequence
The total generator for the time slice j is given by
\[G_j = A +\sum_k \text{control}_{jk} B_k,\]and the corresponding propagator is
\[P_j = \exp(\tau_j G_j).\]Attributes
name of the sequence
drift generator (typically \(-i/\hbar\) times a Hamiltonian and a time unit of your choice)
control generators
durations of the time slices
control field values for each time slice
Methods
generator(j)Generator for time slice j.
to_prop()Propagator corresponding to the control sequence.
- name¶
name of the sequence
- Type
str
- A¶
drift generator (typically \(-i/\hbar\) times a Hamiltonian and a time unit of your choice)
- Type
array
- B¶
control generators
- Type
list[array]
- tau¶
durations of the time slices
- Type
array[float]
- control¶
control field values for each time slice
- Type
array[float]
- generator(j)¶
Generator for time slice j.
- Parameters
j (int) – time slice index
- Returns
antihermitian generator for the given time slice
- Return type
array[complex]
- to_prop()¶
Propagator corresponding to the control sequence.
Returns the propagator matrix corresponding to the action of the control sequence.
Governing equation: \(\dot(X)(t) = (A +\sum_k u_k(t) B_k) X(t) = G(t) X(t)\).