qml.estimator.ops.PhaseShift¶
- class PhaseShift(precision=None, wires=None)[source]
Bases:
ResourceOperatorResource class for the PhaseShift gate.
- Parameters:
precision (float | None) – The error threshold for the Clifford + T decomposition of this operation. The default value is
Nonewhich corresponds to using theprecisionstated in theResourceConfig.wires (Any or Wires | None) – The wires the operation acts on.
- Resources:
The phase shift gate is equivalent to a Z-rotation up to some global phase, as defined from the following identity:
\[\begin{split}R_\phi(\phi) = e^{i\phi/2}R_z(\phi) = \begin{bmatrix} 1 & 0 \\ 0 & e^{i\phi} \end{bmatrix}.\end{split}\]
See also
The corresponding PennyLane operation
PhaseShift.Example
The resources for this operation are computed as:
>>> qml.estimator.PhaseShift.resource_decomp() [(1 x RZ), (1 x GlobalPhase)]
Attributes
Returns a dictionary containing the minimal information needed to compute the resources.
- num_wires = 1¶
- 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 | None): the number of qubits the operation is controlled on
- Return type:
dict
Methods
adjoint_resource_decomp(target_resource_params)Returns a list representing the resources for the adjoint of the operator.
controlled_resource_decomp(num_ctrl_wires, ...)Returns a list representing the resources for a controlled version of the operator.
pow_resource_decomp(pow_z, ...)Returns a list representing the resources for an operator raised to a power.
resource_decomp([precision])Returns a list 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.
- classmethod adjoint_resource_decomp(target_resource_params)[source]¶
Returns a list representing the resources for the adjoint of the operator.
- Parameters:
target_resource_params (dict) – A dictionary containing the resource parameters of the target operator.
- Resources:
The adjoint of a phase shift operator just changes the sign of the phase, thus the resources of the adjoint operation are same as the original operation.
- Returns:
A list of
GateCountobjects, 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(num_ctrl_wires, num_zero_ctrl, target_resource_params)[source]¶
Returns a list representing the resources for a controlled version of the operator.
- Parameters:
num_ctrl_wires (int) – the number of qubits the operation is controlled on
num_zero_ctrl (int) – the number of control qubits, that are controlled when in the \(|0\rangle\) state
target_resource_params (dict) – A dictionary containing the resource parameters of the target operator.
- classmethod pow_resource_decomp(pow_z, target_resource_params)[source]¶
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
target_resource_params (dict) – A dictionary containing the resource parameters of the target operator.
- Resources:
Taking arbitrary powers of a phase shift produces a sum of shifts. The resources simplify to just one total phase shift operator.
- Returns:
A list of
GateCountobjects, where each object represents a specific quantum gate and the number of times it appears in the decomposition.- Return type:
list[
GateCount]
- classmethod resource_decomp(precision=None)[source]¶
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.
- Keyword Arguments:
precision (float) – error threshold for the Clifford + T decomposition of this operation
- Resources:
The phase shift gate is equivalent to a Z-rotation upto some global phase, as defined in the following identity:
\[\begin{split}R_\phi(\phi) = e^{i\phi/2}R_z(\phi) = \begin{bmatrix} 1 & 0 \\ 0 & e^{i\phi} \end{bmatrix}.\end{split}\]
- Returns:
A list of
GateCountobjects, 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)[source]¶
Returns a compressed representation containing only the parameters of the operator that are needed to compute the resources.
- Parameters:
precision (float | None) – The error threshold for the Clifford + T decomposition of this operation.
- Returns:
A compressed representation of the operator.
- Return type: