qml.labs.resource_estimation.ResourceCRot

class ResourceCRot(precision=None, wires=None)

Bases: ResourceOperator

Resource class for the CRot gate.

Parameters:

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

• precision (float, optional) – The error threshold for clifford plus T decomposition of the rotation gate. The default value is None which corresponds to using the precision stated in the config.

Resources:

The resources are taken from Figure 1b of Gheorghiu, V., Mosca, M. & Mukhopadhyay. In combination with the following identity:

\[\begin{split}\begin{align} \hat{RZ}(\theta) = \hat{X} \cdot \hat{RZ}(- \theta) \cdot \hat{X}, \\ \hat{RY}(\theta) = \hat{X} \cdot \hat{RY}(- \theta) \cdot \hat{X}. \end{align}\end{split}\]

This identity is applied along with some clever choices for the angle values to combine rotation; the final circuit takes the form:

ctrl: ─────╭●─────────╭●─────────┤
trgt: ──RZ─╰X──RZ──RY─╰X──RY──RZ─┤

See also

CRot

Example

The resources for this operation are computed using:

>>> re.ResourceCRot.resource_decomp()
[(2 x CNOT), (3 x RZ), (2 x RY)]

Attributes

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

num_wires = 2

resource_keys = {'precision'}

resource_params

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

Returns:

• precision (Union[float, None]): error threshold for the approximation

Return type:

A dictionary containing the resource parameters

Methods

adjoint_resource_decomp([precision])	Returns a list representing the resources for the adjoint of the operator.
controlled_resource_decomp(...[, precision])	Returns a list representing the resources for a controlled version of the operator.
dequeue(op_to_remove[, context])	Remove the given resource operator(s) from the Operator queue.
pow_resource_decomp(pow_z[, precision])	Returns a list representing the resources for an operator raised to a power.
queue([context])	Append the operator to the Operator queue.
resource_decomp([precision])	Returns a list of GateCount objects representing the resources of the operator.
resource_rep([precision])	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
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(precision=None, **kwargs)

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

Resources:

The adjoint of a general rotation flips the sign of the rotation angle, thus the resources of the adjoint operation result 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 controlled_resource_decomp(ctrl_num_ctrl_wires, ctrl_num_ctrl_values, precision=None, **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

• precision (float, optional) – The error threshold for clifford plus T decomposition of the rotation gate. The default value is None which corresponds to using the precision stated in the config.

Resources:

The resources are expressed using the symbolic ResourceControlled. The resources are computed according to the controlled_resource_decomp() of the base ResourceRot class.

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]

static dequeue(op_to_remove, context=<class 'pennylane.queuing.QueuingManager'>)

Remove the given resource operator(s) from the Operator queue.

classmethod pow_resource_decomp(pow_z, precision=None, **kwargs)

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

• precision (float, optional) – The error threshold for clifford plus T decomposition of the rotation gate. The default value is None which corresponds to using the precision stated in the config.

Resources:

Taking arbitrary powers of a general single qubit rotation produces a sum of rotations. The resources simplify to just one total single qubit rotation.

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]

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

Append the operator to the Operator queue.

classmethod resource_decomp(precision=None, **kwargs)

Returns a list of GateCount objects representing the resources of the operator. Each GateCount object specifies a gate type and its total occurrence count.

Parameters:

precision (float, optional) – The error threshold for clifford plus T decomposition of the rotation gate. The default value is None which corresponds to using the precision stated in the config.

Resources:

The resources are taken from Figure 1b of Gheorghiu, V., Mosca, M. & Mukhopadhyay. In combination with the following identity:

\[\begin{split}\begin{align} \hat{RZ}(\theta) = \hat{X} \cdot \hat{RZ}(- \theta) \cdot \hat{X}, \\ \hat{RY}(\theta) = \hat{X} \cdot \hat{RY}(- \theta) \cdot \hat{X}. \end{align}\end{split}\]

This identity is applied along with some clever choices for the angle values to combine rotation; the final circuit takes the form:

ctrl: ─────╭●─────────╭●─────────┤
trgt: ──RZ─╰X──RZ──RY─╰X──RY──RZ─┤

classmethod resource_rep(precision=None)

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 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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