PDGate

class PDGate(index, radix=3)[source]

Bases: QuditGate, CachedClass

The one-qudit P[i] gate.

The clock gate is given by the following formula:

$P[i]_d = \sum_{j} (-\omega^2)^{\delta_{ij}} |j\rangle\langle j|$

where

$\omega = \exp(\frac{2\pi i}{d})$

and d is the number of levels (2 levels is a qubit, 3 levels is a qutrit, etc.)

References

__init__(index, radix=3)[source]

Construct a PDGate.

Parameters:

Raises:

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.
`radix`	The number of levels in each qudit.
`radixes`	The number of orthogonal states for each qudit.

Methods

`check_parameters`(params)	Check parameters are valid and match the unitary.
`get_grad`([params])	Return the gradient for the unitary map as an np.ndarray.
`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.
`get_unitary_and_grad`([params])	Return a tuple combining the outputs of get_unitary and get_grad.
`is_constant`()	Return true if this unitary doesn't take parameters.
`is_differentiable`()	Return true if this gate has a gradient definition.
`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.
`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.