Types/ colored_noise_simulation

Shift

class Shift(*, control, operator, noise=None)

A (possibly noisy) real control term for the colored noise simulation calculation of the form \(\left(1 + \beta_{\alpha_{k}}(t) \right) \alpha_{k}(t) A_{k}\), where \(A_{k}\) is a Hermitian operator, \(\alpha_{k}(t)\) is a real-valued piecewise-constant function between 0 and \(\tau\), and \(\beta_{\alpha_{k}}(t)\) is the amplitude of its noise.

Variables:

• control (List[qctrl.dynamic.types.RealSegmentInput]) – The list of segments, pairs of a duration and a value \(\{(\delta t_{\alpha_{k},n}, \alpha_{k,n})\}\), that define the piecewise-constant control \(\alpha_{k}(t)\). This means that \(\alpha_{k}(t) = \alpha_{k,n}\) for \(t_{\alpha_{k},n-1} \leq t < t_{\alpha_{k},n}\), where \(t_{\alpha_{k},0} = 0\) and \(t_{\alpha_{k},n} = t_{\alpha_{k},n-1} + \delta t_{\alpha_{k},n}\). You must provide at least one segment.

• operator (ndarray) – The Hermitian matrix \(A_{k}\) that multiplies the real control.

• noise (qctrl.dynamic.types.colored_noise_simulation.Noise, optional) – The noise amplitude \(\beta_{\alpha_{k}}(t)\) associated to the term. If not provided, \(\beta_{\alpha_{k}}(t) = 0\).