# PiecewiseLinearPauliRotations¶

class PiecewiseLinearPauliRotations(num_state_qubits=None, breakpoints=None, slopes=None, offsets=None, basis='Y', name='pw_lin')[source]

Piecewise-linearly-controlled Pauli rotations.

For a piecewise linear (not necessarily continuous) function $$f(x)$$, which is defined through breakpoints, slopes and offsets as follows. Suppose the breakpoints $$(x_0, ..., x_J)$$ are a subset of $$[0, 2^n-1]$$, where $$n$$ is the number of state qubits. Further on, denote the corresponding slopes and offsets by $$a_j$$ and $$b_j$$ respectively. Then f(x) is defined as:

$\begin{split}f(x) = \begin{cases} 0, x < x_0 \\ a_j (x - x_j) + b_j, x_j \leq x < x_{j+1} \end{cases}\end{split}$

where we implicitly assume $$x_{J+1} = 2^n$$.

Construct piecewise-linearly-controlled Pauli rotations.

Paramètres
• 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 Classically evaluate the piecewise linear rotation.

Attributes

ancillas

Returns a list of ancilla bits in the order that the registers were added.

Type renvoyé

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.

Type renvoyé

str

Renvoie

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).

Type renvoyé

List[int]

calibrations

Return calibration dictionary.

The custom pulse definition of a given gate is of the form {'gate_name': {(qubits, params): schedule}}

Type renvoyé

dict

clbits

Returns a list of classical bits in the order that the registers were added.

Type renvoyé

List[Clbit]

contains_zero_breakpoint

Whether 0 is the first breakpoint.

Type renvoyé

bool

Renvoie

True, if 0 is the first breakpoint, otherwise False.

data
extension_lib = 'include "qelib1.inc";'
global_phase

Return the global phase of the circuit in radians.

Type renvoyé

Union[ParameterExpression, float]

instances = 2299
mapped_offsets

The offsets mapped to the internal representation.

Type renvoyé

List[float]

Renvoie

The mapped offsets.

mapped_slopes

The slopes mapped to the internal representation.

Type renvoyé

List[float]

Renvoie

The mapped slopes.

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.

Type renvoyé

dict

num_ancilla_qubits

The minimum number of ancilla qubits in the circuit.

Type renvoyé

int

Renvoie

The minimal number of ancillas required.

num_ancillas

Return the number of ancilla qubits.

Type renvoyé

int

num_clbits

Return number of classical bits.

Type renvoyé

int

num_parameters
Type renvoyé

int

num_qubits

Return number of qubits.

Type renvoyé

int

num_state_qubits

The number of state qubits representing the state $$|x\rangle$$.

Type renvoyé

int

Renvoie

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).

Type renvoyé

List[float]

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.

Type renvoyé

List[int]

Renvoie

List of integers representing instruction start times. The index corresponds to the index of instruction in QuantumCircuit.data.

Lève

AttributeError – When circuit is not scheduled.

parameters
Type renvoyé

ParameterView

prefix = '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.

Type renvoyé

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).

Type renvoyé

List[int]