PolynomialPauliRotations
class qiskit.circuit.library.PolynomialPauliRotations(num_state_qubits=None, coeffs=None, basis='Y', name='poly')
Bases: FunctionalPauliRotations
A circuit implementing polynomial Pauli rotations.
For a polynomial , 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 (int | None) – The number of qubits representing the state.
- coeffs (list[float] | None) – 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.
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.
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}}
clbits
Returns a list of classical bits in the order that the registers were added.
coeffs
The coefficients of the polynomial.
coeffs[i] is the coefficient of the i-th power of the function input , that means that the rotation angles are based on the coefficients value, following the formula
where is the degree of the polynomial and are the coefficients coeffs.
Returns
The coefficients of the polynomial.
data
degree
Return the degree of the polynomial, equals to the number of coefficients minus 1.
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 current circuit scope in radians.
header
Default value: 'OPENQASM 2.0;'
instances
Default value: 271
layout
Return any associated layout information about the circuit
This attribute contains an optional TranspileLayout object. This is typically set on the output from transpile() or PassManager.run() to retain information about the permutations caused on the input circuit by transpilation.
There are two types of permutations caused by the transpile() function, an initial layout which permutes the qubits based on the selected physical qubits on the Target, and a final layout which is an output permutation caused by SwapGates inserted during routing.
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.
num_ancilla_qubits
The minimum number of ancilla qubits in the circuit.
Returns
The minimal number of ancillas required.
num_ancillas
Return the number of ancilla qubits.
num_clbits
Return number of classical bits.
num_parameters
num_qubits
Return number of qubits.
num_state_qubits
The number of state qubits representing the state .
Returns
The number of state qubits.
op_start_times
Return a list of operation start times.
This attribute is enabled once one of scheduling analysis passes runs on the quantum circuit.
Returns
List of integers representing instruction start times. The index corresponds to the index of instruction in QuantumCircuit.data.
Raises
AttributeError – When circuit is not scheduled.
parameters
prefix
Default value: 'circuit'
qregs
Type: list[QuantumRegister]
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.