qml.labs.resource_estimation.ResourceX

class ResourceX(*args, wires=None, **kwargs)

Bases: ResourceOperator

Resource class for the X-gate.

Parameters:

wires (Sequence[int] or int, optional) – the wire the operation acts on

Resources:

The X-gate can be decomposed according to the following identities:

\[\begin{split}\begin{align} \hat{X} &= \hat{H} \cdot \hat{Z} \cdot \hat{H}, \\ \hat{Z} &= \hat{S}^{2}. \end{align}\end{split}\]

Thus the resources for an X-gate are two ResourceS gates and two ResourceHadamard gates.

See also

X

Example

The resources for this operation are computed using:

>>> plre.ResourceX.resource_decomp()
[(2 x Hadamard), (2 x S)]

Attributes

num_wires
resource_keys
resource_params	Returns a dictionary containing the minimal information needed to compute the resources.

num_wires = 1

resource_keys = {}

resource_params

Returns a dictionary containing the minimal information needed to compute the resources.

Returns:

Empty dictionary. The resources of this operation don’t depend on any additional parameters.

Return type:

dict

Methods

adjoint_resource_decomp(*args, **kwargs)	Returns a list of actions that define the resources of the operator.
controlled_resource_decomp(...)	Returns a list representing the resources for a controlled version of the operator.
default_adjoint_resource_decomp()	Returns a list representing the resources for the adjoint of the operator.
default_controlled_resource_decomp(...)	Returns a list representing the resources for a controlled version of the operator.
default_pow_resource_decomp(pow_z)	Returns a list representing the resources for an operator raised to a power.
default_resource_decomp(**kwargs)	Returns a list representing the resources of the operator.
pow_resource_decomp(pow_z, *args, **kwargs)	Returns a list representing the resources for an operator raised to a power.
queue([context])	Append the operator to the Operator queue.
resource_decomp(*args, **kwargs)	Returns a list of actions that define the resources of the operator.
resource_rep()	Returns a compressed representation containing only the parameters of the Operator that are needed to compute the resources.
resource_rep_from_op()	Returns a compressed representation directly from the operator
set_resources(new_func[, override_type])	Set a custom function to override the default resource decomposition.
tracking_name(*args, **kwargs)	Returns a name used to track the operator during resource estimation.
tracking_name_from_op()	Returns the tracking name built with the operator's parameters.

classmethod adjoint_resource_decomp(*args, **kwargs)

Returns a list of actions that define the resources of the operator.

classmethod controlled_resource_decomp(ctrl_num_ctrl_wires, ctrl_num_ctrl_values, *args, **kwargs)

Returns a list representing the resources for a controlled version of the operator.

Parameters:

• ctrl_num_ctrl_wires (int) – the number of qubits the operation is controlled on

• ctrl_num_ctrl_values (int) – the number of control qubits, that are controlled when in the \(|0\rangle\) state

classmethod default_adjoint_resource_decomp()

Returns a list representing the resources for the adjoint of the operator.

Resources:

This operation is self-adjoint, so the resources of the adjoint operation results in the original operation.

Returns:

A list of GateCount objects, where each object represents a specific quantum gate and the number of times it appears in the decomposition.

Return type:

list[GateCount]

classmethod default_controlled_resource_decomp(ctrl_num_ctrl_wires, ctrl_num_ctrl_values)

Returns a list representing the resources for a controlled version of the operator. :param ctrl_num_ctrl_wires: the number of qubits the operation is controlled on :type ctrl_num_ctrl_wires: int :param ctrl_num_ctrl_values: the number of control qubits, that are controlled when in the \(|0\rangle\) state :type ctrl_num_ctrl_values: int

Resources:

For one or two control wires, the cost is one of ResourceCNOT or ResourceToffoli respectively. Two additional ResourceX gates per control qubit are used to flip the control qubits if they are zero-controlled. In the case where multiple controlled wires are provided, the cost is one general ResourceMultiControlledX gate.

Returns:

A list of GateCount objects, where each object represents a specific quantum gate and the number of times it appears in the decomposition.

Return type:

list[GateCount]

classmethod default_pow_resource_decomp(pow_z)

Returns a list representing the resources for an operator raised to a power.

Parameters:

pow_z (int) – the power that the operator is being raised to

Resources:

The X-gate raised to even powers produces identity and raised to odd powers it produces itself.

Returns:

A list of GateCount objects, where each object represents a specific quantum gate and the number of times it appears in the decomposition.

Return type:

list[GateCount]

classmethod default_resource_decomp(**kwargs)

Returns a list representing the resources of the operator. Each object represents a quantum gate and the number of times it occurs in the decomposition.

Resources:

The X-gate can be decomposed according to the following identities:

\[\begin{split}\begin{align} \hat{X} &= \hat{H} \cdot \hat{Z} \cdot \hat{H}, \\ \hat{Z} &= \hat{S}^{2}. \end{align}\end{split}\]

Thus the resources for an X-gate are two ResourceS gates and two ResourceHadamard gates.

classmethod pow_resource_decomp(pow_z, *args, **kwargs)

Returns a list representing the resources for an operator raised to a power.

Parameters:

pow_z (int) – exponent that the operator is being raised to

queue(context=<class 'pennylane.queuing.QueuingManager'>)

Append the operator to the Operator queue.

classmethod resource_decomp(*args, **kwargs)

Returns a list of actions that define the resources of the operator.

classmethod resource_rep()

Returns a compressed representation containing only the parameters of the Operator that are needed to compute the resources.

resource_rep_from_op()

Returns a compressed representation directly from the operator

classmethod set_resources(new_func, override_type='base')

Set a custom function to override the default resource decomposition.

This method allows users to replace any of the resource_decomp, adjoint_resource_decomp, ctrl_resource_decomp, or pow_resource_decomp methods globally for every instance of the class.

classmethod tracking_name(*args, **kwargs)

Returns a name used to track the operator during resource estimation.

tracking_name_from_op()

Returns the tracking name built with the operator’s parameters.

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