workbench_algorithms.utils.window_utils

Module containing utility functions for window state preparation.

compute_amplitudes_rect_window

compute_amplitudes_rect_window(n_qubits: int) -> np.ndarray

Compute amplitudes for rect window.

Parameters:

Name	Type	Description	Default
n_qubits	int	Size of phase register	required

Returns:

Type	Description
ndarray	Representation of the taper state amplitudes.

compute_amplitudes_cosine_window

compute_amplitudes_cosine_window(
    n_qubits: int,
) -> np.ndarray

Compute amplitudes for cosine window.

Parameters:

Name	Type	Description	Default
n_qubits	int	Size of phase register	required

Note

• Ref: arxiv:2110.09590

Returns:

Type	Description
ndarray	Representation of the taper state amplitudes.

compute_amplitudes_sine_window

compute_amplitudes_sine_window(n_qubits: int) -> np.ndarray

Compute amplitudes for sine window.

Parameters:

Name	Type	Description	Default
n_qubits	int	Size of phase register	required

Note

• Ref: arxiv:1805.03662 Eq. 20

Returns:

Type	Description
ndarray	Representation of the taper state amplitudes.

compute_amplitudes_kaiser_window

compute_amplitudes_kaiser_window(
    n_qubits: int, alpha: float
) -> np.ndarray

Compute amplitudes for Kaiser window.

Parameters:

Name	Type	Description	Default
n_qubits	int	Size of phase register	required
alpha	float	Parameter for width of Kaiser window	required

Note

• Ref: arxiv:2209.13581 Eq. C1

Returns:

Type	Description
ndarray	Representation of the taper state amplitudes.

compute_amplitudes_welch_window

compute_amplitudes_welch_window(
    n_qubits: int,
) -> np.ndarray

Compute amplitudes for Welch window.

Parameters:

Name	Type	Description	Default
n_qubits	int	Size of phase register	required

Note

• Ref: doi: 10.1109/TAU.1967.1161901

Returns:

Type	Description
ndarray	Representation of the taper state amplitudes.

compute_amplitudes_hann_window

compute_amplitudes_hann_window(n_qubits: int) -> np.ndarray

Compute amplitudes for Hann window.

Parameters:

Name	Type	Description	Default
n_qubits	int	Size of phase register	required

Note

• Ref: here

Returns:

Type	Description
ndarray	Representation of the taper state amplitudes.

compute_amplitudes_dolph_cheby_window

compute_amplitudes_dolph_cheby_window(
    n_qubits: int, alpha: float
) -> np.ndarray

Compute amplitudes for Dolph-Chebyshev window.

Parameters:

Name	Type	Description	Default
n_qubits	int	Size of phase register	required
alpha	float	Parameter for width of Dolph-Chebyshev window	required

Note

• Ref: here

Returns:

Type	Description
ndarray	Representation of the taper state amplitudes.