PauliGate

class PauliGate[source]

Bases: QubitGate, DifferentiableUnitary, GeneralGate

A gate representing an arbitrary rotation.

This gate is given by:

$\exp({i(\vec{\alpha} \cdot \vec{\sigma^{\otimes n}})})$

Where $\vec{\alpha}$ are the gate’s parameters, $\vec{\sigma}$ are the Pauli matrices, and $n$ is the number of qubits this gate acts on.

__init__(num_qudits)[source]

Create a PauliGate acting on num_qudits qubits.

Parameters:: num_qudits (int) – The number of qudits this gate will act on.
Raises:: ValueError – If num_qudits is nonpositive.

Attributes

`dim`	The matrix dimension for this unitary.
`name`	The name of this gate.
`num_params`	The number of real parameters this unitary-valued function takes.
`num_qudits`	The number of qudits this unitary can act on.
`qasm_name`	The qasm identifier for this gate.
`radixes`	The number of orthogonal states for each qudit.

Methods

`calc_params`(utry)	Return the parameters for this gate to implement utry
`check_env_matrix`(env_matrix)	Check to ensure the env_matrix is validly shaped.
`check_parameters`(params)	Check parameters are valid and match the unitary.
`get_grad`([params])	Return the gradient for this gate.
`get_inverse`()	Return the gate's inverse as a gate.
`get_inverse_params`([params])	Return the parameters that invert the gate.
`get_qasm`(params, location)	Returns the qasm string for this gate.
`get_qasm_gate_def`()	Returns a qasm gate definition block for this gate.
`get_unitary`([params])	Return the unitary for this gate, see `Unitary` for more.
`get_unitary_and_grad`([params])	Return the unitary and gradient for this gate.
`identity_as_params`(radixes)	Return the parameters for the gate that implements the identity.
`is_constant`()	Return true if this unitary doesn't take parameters.
`is_parameterized`()	Return true if this unitary is parameterized.
`is_qubit_only`()	Return true if this unitary can only act on qubits.
`is_qudit_only`(radix)	Return true if this unitary can only act on radix-qudits.
`is_qutrit_only`()	Return true if this unitary can only act on qutrits.
`is_self_inverse`([params])	Checks whether the unitary is its own inverse.
`optimize`(env_matrix)	Return the optimal parameters with respect to an environment matrix.
`with_all_frozen_params`(params)	Freeze all of a gate's parameters so they don't change from optimization.
`with_frozen_params`(frozen_params)	Freeze some of a gate's parameters so they don't change from optimization.