qml.labs.resource_estimation.ResourceRegisterComparator

class ResourceRegisterComparator(first_register, second_register, geq=False, wires=None)

Bases: ResourceOperator

This operation applies a controlled X gate using register comparison as the condition.

Given the basis states \(\vert a \rangle\), and \(\vert b \rangle\), where \(a\) and \(b\) are positive integers, a target qubit is flipped if \(a \geq b\). Alternatively, the flipping condition can be \(a \lt b\).

Parameters:

• first_register (int) – the size of the first register

• second_register (int) – the size of the second register

• geq (bool) – If set to True, the comparison made will be \(a \geq b\). If False, the comparison made will be \(a \lt b\).

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

Resources:

The resources are obtained from appendix B of arXiv:1711.10460 for registers of same size. If the size of registers differ, the unary iteration technique from arXiv:1805.03662 is used to combine the results from extra qubits.

Example

The resources for this operation are computed using:

>>> register_compare = plre.ResourceRegisterComparator(4, 6)
>>> print(plre.estimate(register_compare))
--- Resources: ---
 Total qubits: 11
 Total gates : 89
 Qubit breakdown:
  clean qubits: 0, dirty qubits: 0, algorithmic qubits: 11
 Gate breakdown:
  {'Toffoli': 17, 'CNOT': 51, 'X': 18, 'Hadamard': 3}

Attributes

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

num_wires = 1

resource_keys = {'first_register', 'geq', 'second_register'}

resource_params

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

Returns:

A dictionary containing the resource parameters:

• first_register (int): the size of the first register

• second_register (int): the size of the second register

• geq (bool): If set to True, the comparison made will be \(a \geq b\). If False, the comparison made will be \(a \lt b\).

Return type:

dict

Methods

adjoint_resource_decomp(*args, **kwargs)	Returns a list representing the resources for the adjoint of the operator.
controlled_resource_decomp(...)	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, *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(first_register, second_register)	Returns a list representing the resources of the operator.
resource_rep(first_register, second_register)	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(*args, **kwargs)

Returns a list representing the resources for the adjoint 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

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, *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(first_register, second_register, geq=False, **kwargs)

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

Parameters:

• first_register (int) – the size of the first register

• second_register (int) – the size of the second register

• geq (bool) – If set to True, the comparison made will be \(a \geq b\). If False, the comparison made will be \(a \lt b\).

Resources:

The resources are obtained from appendix B, Figure 3 in arXiv:1711.10460 for registers of same size. If the size of registers differ, the unary iteration technique from arXiv:1805.03662 is used to combine the results from extra qubits.

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(first_register, second_register, geq=False)

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

Parameters:

• first_register (int) – the size of the first register

• second_register (int) – the size of the second register

• geq (bool) – If set to True, the comparison made will be \(a \geq b\). If False, the comparison made will be \(a \lt b\).

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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