qml.labs.resource_estimation.ResourceHadamard

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

Bases: ResourceOperator

Resource class for the Hadamard gate.

Parameters:

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

Resources:

The Hadamard gate is treated as a fundamental gate and thus it cannot be decomposed further. Requesting the resources of this gate raises a ResourcesNotDefined error.

See also

Hadamard

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.

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

Resources:

For a single control wire, the cost is a single instance of ResourceCH. Two additional ResourceX gates are used to flip the control qubit if it is zero-controlled. In the case where multiple controlled wires are provided, the resources are derived from the following identities (as presented in this blog post):

\[\begin{split}\begin{align} \hat{H} &= \hat{R}_{y}(\frac{\pi}{4}) \cdot \hat{Z} \cdot \hat{R}_{y}(\frac{-\pi}{4}), \\ \hat{Z} &= \hat{H} \cdot \hat{X} \cdot \hat{H}. \end{align}\end{split}\]

Specifically, the resources are given by two ResourceRY gates, two ResourceHadamard gates and a ResourceX gate. By replacing the ResourceX gate with ResourceMultiControlledX gate, we obtain a controlled-version of this identity.

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 Hadamard 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 Hadamard gate is treated as a fundamental gate and thus it cannot be decomposed further. Requesting the resources of this gate raises a ResourcesNotDefined error.

Raises:

ResourcesNotDefined – This gate is fundamental, no further decomposition defined.

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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