qml.labs.resource_estimation.ResourceIsingXX

class ResourceIsingXX(precision=None, wires=None)

Bases: ResourceOperator

Resource class for the IsingXX gate.

Parameters:

• precision (float, optional) – error threshold for Clifford+T decomposition of this operation

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

Resources:

Ising XX coupling gate

\[\begin{split}XX(\phi) = \exp\left(-i \frac{\phi}{2} (X \otimes X)\right) = \begin{bmatrix} = \cos(\phi / 2) & 0 & 0 & -i \sin(\phi / 2) \\ 0 & \cos(\phi / 2) & -i \sin(\phi / 2) & 0 \\ 0 & -i \sin(\phi / 2) & \cos(\phi / 2) & 0 \\ -i \sin(\phi / 2) & 0 & 0 & \cos(\phi / 2) \end{bmatrix}.\end{split}\]

The circuit implementing this transformation is given by:

0: ─╭●─────RX────╭●─┤
1: ─╰X───────────╰X─┤

See also

IsingXX

Example

The resources for this operation are computed using:

>>> ising_xx = plre.ResourceIsingXX()
>>> gate_set = {"CNOT", "RX"}
>>> print(plre.estimate(ising_xx, gate_set))
--- Resources: ---
Total qubits: 2
Total gates : 3
Qubit breakdown:
 clean qubits: 0, dirty qubits: 0, algorithmic qubits: 2
Gate breakdown:
 {'CNOT': 2, 'RX': 1}

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:

A dictionary containing the resource parameters: * precision (float): error threshold for clifford plus T decomposition of this operation

Return type:

dict

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 operator's resources.
resource_rep([precision])	Returns a compressed representation containing only the parameters of the Operator that are needed to compute a resource estimation.
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.

Parameters:

precision (float, optional) – error threshold for clifford plus T decomposition of this operation

Resources:

The adjoint of this operator just changes the sign of the phase angle, thus 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 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) – error threshold for clifford plus T decomposition of this operation

Resources:

The resources are derived from the following identity. If an operation \(\hat{A}\) can be expressed as \(\hat{A} \ = \ \hat{U} \cdot \hat{B} \cdot \hat{U}^{\dagger}\) then the controlled operation \(C\hat{A}\) can be expressed as:

\[C\hat{A} \ = \ \hat{U} \cdot C\hat{B} \cdot \hat{U}^{\dagger}\]

Specifically, the resources are one multi-controlled RX-gate and a pair of ResourceCNOT gates.

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) – error threshold for clifford plus T decomposition of this operation

Resources:

Taking arbitrary powers of a rotation produces a sum of rotations. The resources simplify to just one total Ising 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 operator’s resources.

Parameters:

precision (float, optional) – error threshold for clifford plus T decomposition of this operation

Resources:

Ising XX coupling gate

\[\begin{split}XX(\phi) = \exp\left(-i \frac{\phi}{2} (X \otimes X)\right) = \begin{bmatrix} = \cos(\phi / 2) & 0 & 0 & -i \sin(\phi / 2) \\ 0 & \cos(\phi / 2) & -i \sin(\phi / 2) & 0 \\ 0 & -i \sin(\phi / 2) & \cos(\phi / 2) & 0 \\ -i \sin(\phi / 2) & 0 & 0 & \cos(\phi / 2) \end{bmatrix}.\end{split}\]

The cost for implementing this transformation is given by:

0: ─╭●─────RX────╭●─┤
1: ─╰X───────────╰X─┤

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 resource_rep(precision=None)

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

Parameters:

precision (float, optional) – error threshold for clifford plus T decomposition of this operation

Returns:

the operator in a compressed representation

Return type:

CompressedResourceOp

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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