qml.labs.resource_estimation.ResourceUniformStatePrep

class ResourceUniformStatePrep(num_states, wires=None)

Bases: ResourceOperator

Resource class for preparing a uniform superposition.

This operation prepares a uniform superposition over a given number of basis states. The uniform superposition is defined as:

\[\frac{1}{\sqrt{l}} \sum_{i=0}^{l} |i\rangle\]

where \(l\) is the number of states.

This operation uses Hadamard gates to create the uniform superposition when the number of states is a power of two. If the number of states is not a power of two, amplitude amplification technique defined in arXiv:1805.03662 is used.

Parameters:

• num_states (int) – the number of states in the uniform superposition

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

Resources:

The resources are obtained from Figure 12 in arXiv:1805.03662. The circuit uses amplitude amplification to prepare a uniform superposition over \(l\) basis states.

Example

The resources for this operation are computed using:

>>> unif_state_prep = plre.ResourceUniformStatePrep(10)
>>> print(plre.estimate(unif_state_prep))
--- Resources: ---
 Total qubits: 5
 Total gates : 124
 Qubit breakdown:
  clean qubits: 1, dirty qubits: 0, algorithmic qubits: 4
 Gate breakdown:
  {'Hadamard': 16, 'X': 12, 'CNOT': 4, 'Toffoli': 4, 'T': 88}

Attributes

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

num_wires = 1

resource_keys = {'num_states'}

resource_params

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

Returns:

A dictionary containing the resource parameters:

• num_states (int): the number of states over which the uniform superposition is being prepared

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(num_states, **kwargs)	Returns a list representing the resources of the operator.
resource_rep(num_states)	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(num_states, **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:

num_states (int) – the number of states over which the uniform superposition is being prepared

Resources:

The resources are obtained from Figure 12 in arXiv:1805.03662. The circuit uses amplitude amplification to prepare a uniform superposition over \(l\) basis states.

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(num_states)

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

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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