state_prep_utils

state_prep_utils ¶

get_all_grays(angles)

Apply get_gray_angles to a list of lists of angles.

Parameters:

Name	Type	Description	Default
`angles`	`list`	List of list of angles	required

Returns:

Type	Description
`list`	List of list of single qubit gray angles

get_angles(amps, num_qubits=None)

Equations 5 and 8 in "Transformation of quantum states using uniformly controlled rotations" (arXiv:quant-ph/0407010 ⧉).

Parameters:

Name	Type	Description	Default
`amps`	`list`	List of amplitudes.	required
`num_qubits`	`(Optional, int)`	Number of qubits the amplitudes will be loaded to. Defaults to None.	`None`

Returns:

Type	Description
`(list, list)`	List of list of angles for \(Z\) rotations and list of list of angles for \(Y\) rotations.

get_gray_angles(angles)

Given list of angles for uniform rotations, return angles for single qubit rotations.

Follows equation 3 in "Transformation of quantum states using uniformly controlled rotations" (arXiv:quant-ph/0407010 ⧉).

Parameters:

Name	Type	Description	Default
`angles`	`list`	List of angles.	required

Returns:

Type	Description
`list`	List of single qubit rotation angles.

Note

The "dot" in the equation is a bitwise dot product.

get_usp_angle(d)

Calculates the rotation angle needed for USP.

Parameters:

Name	Type	Description	Default
`d`	`int`	The number of elements in the uniform superposition.	required

Returns:

Type	Description
`float`	The rotation angle for USP, in degrees.