Linear Pauli Rotation

Functions:

Name	Description
`linear_pauli_rotations`	[Qmod Classiq-library function].

linear_pauli_rotations(
bases: CArray[Pauli],
slopes: CArray[CReal],
offsets: CArray[CReal],
x: QArray[QBit],
q: QArray[QBit]
) -> None

[Qmod Classiq-library function] Performs a rotation on a series of

m

target qubits, where the rotation angle is a linear function of an

n

-qubit control register. Corresponds to the braket notation:

\left|x\right\rangle _{n}\left|q\right\rangle _{m}\rightarrow\left|x\right\rangle _{n}\prod_{k=1}^{m}\left(\cos\left(\frac{a_{k}}{2}x+\frac{b_{k}}{2}\right)- i\sin\left(\frac{a_{k}}{2}x+\frac{b_{k}}{2}\right)P_{k}\right)\left|q_{k}\right\rangle

where

\left|x\right\rangle

is the control register,

\left|q\right\rangle

is the target register, each

P_\{k\}

is one of the three Pauli matrices

X

Y

, or

Z

, and

a_\{k\}

b_\{k\}

are the user given slopes and offsets, respectively. Parameters:

Name	Type	Description	Default
`bases`	`CArray[Pauli]`	List of Pauli Enums.	required
`slopes`	`CArray[CReal]`	Rotation slopes for each of the given Pauli bases.	required
`offsets`	`CArray[CReal]`	Rotation offsets for each of the given Pauli bases.	required
`x`	`QArray[QBit]`	Quantum state to apply the rotation based on its value.	required
`q`	`QArray[QBit]`	List of indicator qubits for each of the given Pauli bases.	required

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