LinearPauliRotations
class qiskit.circuit.library.LinearPauliRotations(num_state_qubits=None, slope=1, offset=0, basis='Y', name='LinRot')
Bases: FunctionalPauliRotations
Linearly-controlled X, Y or Z rotation.
For a register of state qubits , a target qubit and the basis 'Y' this circuit acts as:
q_0: ─────────────────────────■───────── ... ──────────────────────
│
.
│
q_(n-1): ─────────────────────────┼───────── ... ───────────■──────────
┌────────────┐ ┌───────┴───────┐ ┌─────────┴─────────┐
q_n: ─┤ RY(offset) ├──┤ RY(2^0 slope) ├ ... ┤ RY(2^(n-1) slope) ├
└────────────┘ └───────────────┘ └───────────────────┘This can for example be used to approximate linear functions, with slope and offset and the basis 'Y':
Since for small arguments this operator can be used to approximate linear functions.
Create a new linear rotation circuit.
Parameters
- num_state_qubits (int | None) – The number of qubits representing the state .
- slope (float) – The slope of the controlled rotation.
- offset (float) – The offset of the controlled rotation.
- basis (str) – The type of Pauli rotation (‘X’, ‘Y’, ‘Z’).
- name (str) – The name of the circuit object.
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.
data
extension_lib
Default value: 'include "qelib1.inc";'
global_phase
Return the global phase of the circuit in radians.
header
Default value: 'OPENQASM 2.0;'
instances
Default value: 187
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.
offset
The angle of the single qubit offset rotation on the target qubit.
Before applying the controlled rotations, a single rotation of angle offset is applied to the target qubit.
Returns
The offset angle.
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.
slope
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.
Returns
The rotation angle common in all controlled rotations.