PiecewiseLinearPauliRotations
class PiecewiseLinearPauliRotations(num_state_qubits=None, breakpoints=None, slopes=None, offsets=None, basis='Y', name='pw_lin')
Bases: qiskit.circuit.library.arithmetic.functional_pauli_rotations.FunctionalPauliRotations
Piecewise-linearly-controlled Pauli rotations.
For a piecewise linear (not necessarily continuous) function , which is defined through breakpoints, slopes and offsets as follows. Suppose the breakpoints are a subset of , where is the number of state qubits. Further on, denote the corresponding slopes and offsets by and respectively. Then f(x) is defined as:
where we implicitly assume .
Construct piecewise-linearly-controlled Pauli rotations.
Parameters
- num_state_qubits (
Optional[int]) – The number of qubits representing the state. - breakpoints (
Optional[List[int]]) – The breakpoints to define the piecewise-linear function. Defaults to[0]. - slopes (
Optional[List[float]]) – The slopes for different segments of the piecewise-linear function. Defaults to[1]. - offsets (
Optional[List[float]]) – The offsets for different segments of the piecewise-linear function. Defaults to[0]. - basis (
str) – The type of Pauli rotation ('X','Y','Z'). - name (
str) – The name of the circuit.
Methods Defined Here
evaluate
PiecewiseLinearPauliRotations.evaluate(x)
Classically evaluate the piecewise linear rotation.
Parameters
x (float) – Value to be evaluated at.
Return type
float
Returns
Value of piecewise linear function at x.
Attributes
ancillas
Returns a list of ancilla bits in the order that the registers were added.
Return type
List[AncillaQubit]
basis
The kind of Pauli rotation to be used.
Set the basis to ‘X’, ‘Y’ or ‘Z’ for controlled-X, -Y, or -Z rotations respectively.
Return type
str
Returns
The kind of Pauli rotation used in controlled rotation.
breakpoints
The breakpoints of the piecewise linear function.
The function is linear in the intervals [point_i, point_{i+1}] where the last point implicitly is 2**(num_state_qubits + 1).
Return type
List[int]
calibrations
Return calibration dictionary.
The custom pulse definition of a given gate is of the form
{‘gate_name’: {(qubits, params): schedule}}
Return type
dict
clbits
Returns a list of classical bits in the order that the registers were added.
Return type
List[Clbit]
contains_zero_breakpoint
Whether 0 is the first breakpoint.
Return type
bool
Returns
True, if 0 is the first breakpoint, otherwise False.
data
extension_lib
Default value: 'include "qelib1.inc";'
global_phase
Return the global phase of the circuit in radians.
Return type
Union[ParameterExpression, float]
header
Default value: 'OPENQASM 2.0;'
instances
Default value: 9
mapped_offsets
The offsets mapped to the internal representation.
Return type
List[float]
Returns
The mapped offsets.
mapped_slopes
The slopes mapped to the internal representation.
Return type
List[float]
Returns
The mapped slopes.
metadata
The user provided metadata associated with the circuit
The metadata for the circuit is a user provided dict of metadata for the circuit. It will not be used to influence the execution or operation of the circuit, but it is expected to be passed between all transforms of the circuit (ie transpilation) and that providers will associate any circuit metadata with the results it returns from execution of that circuit.
Return type
dict
num_ancilla_qubits
The minimum number of ancilla qubits in the circuit.
Return type
int
Returns
The minimal number of ancillas required.
num_ancillas
Return the number of ancilla qubits.
Return type
int
num_clbits
Return number of classical bits.
Return type
int
num_parameters
Return type
int
num_qubits
Return number of qubits.
Return type
int
num_state_qubits
The number of state qubits representing the state .
Return type
int
Returns
The number of state qubits.
offsets
The breakpoints of the piecewise linear function.
The function is linear in the intervals [point_i, point_{i+1}] where the last point implicitly is 2**(num_state_qubits + 1).
Return type
List[float]
parameters
Return type
ParameterView
prefix
Default value: 'circuit'
qregs
A list of the quantum registers associated with the circuit.
qubits
Returns a list of quantum bits in the order that the registers were added.
Return type
List[Qubit]
slopes
The breakpoints of the piecewise linear function.
The function is linear in the intervals [point_i, point_{i+1}] where the last point implicitly is 2**(num_state_qubits + 1).
Return type
List[int]