PolynomialPauliRotations
class PolynomialPauliRotations(num_state_qubits=None, coeffs=None, basis='Y', name='poly')
Bases: qiskit.circuit.library.arithmetic.functional_pauli_rotations.FunctionalPauliRotations
A circuit implementing polynomial Pauli rotations.
For a polynomial :math`p(x)`, a basis state and a target qubit this operator acts as:
Let n be the number of qubits representing the state, d the degree of p(x) and q_i the qubits, where q_0 is the least significant qubit. Then for
we can write
where are the input coefficients, coeffs.
Prepare an approximation to a state with amplitudes specified by a polynomial.
Parameters
- num_state_qubits (
Optional[int]) – The number of qubits representing the state. - coeffs (
Optional[List[float]]) – The coefficients of the polynomial.coeffs[i]is the coefficient of the i-th power of x. Defaults to linear: [0, 1]. - basis (
str) – The type of Pauli rotation (‘X’, ‘Y’, ‘Z’). - name (
str) – The name of the circuit.
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.
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]
coeffs
The multiplicative factor in the rotation angle of the controlled rotations.
The rotation angles are slope * 2^0, slope * 2^1, … , slope * 2^(n-1) where n is the number of state qubits.
Return type
List[float]
Returns
The rotation angle common in all controlled rotations.
data
degree
Return the degree of the polynomial, equals to the number of coefficients minus 1.
Return type
int
Returns
The degree of the polynomial. If the coefficients have not been set, return 0.
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
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
Deprecated. Use num_ancillas instead.
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.
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]