PiecewiseLinearPauliRotations¶

class
PiecewiseLinearPauliRotations
(num_state_qubits=None, breakpoints=None, slopes=None, offsets=None, basis='Y', name='pw_lin')[source]¶ Bases:
qiskit.circuit.library.arithmetic.functional_pauli_rotations.FunctionalPauliRotations
Piecewiselinearlycontrolled 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 \([0, 2^n1]\), 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 piecewiselinearlycontrolled Pauli rotations.
 Parameters
num_state_qubits (
Optional
[int
]) – The number of qubits representing the state.breakpoints (
Optional
[List
[int
]]) – The breakpoints to define the piecewiselinear function. Defaults to[0]
.slopes (
Optional
[List
[float
]]) – The slopes for different segments of the piecewiselinear function. Defaults to[1]
.offsets (
Optional
[List
[float
]]) – The offsets for different segments of the piecewiselinear function. Defaults to[0]
.basis (
str
) – The type of Pauli rotation ('X'
,'Y'
,'Z'
).name (
str
) – The name of the circuit.
Methods Defined Here
Classically evaluate the piecewise linear rotation.
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 controlledX, 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 is2**(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}}

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

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
= 'include "qelib1.inc";'¶

global_phase
¶ Return the global phase of the circuit in radians.

header
= 'OPENQASM 2.0;'¶

instances
= 16¶

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.

num_ancilla_qubits
¶ Deprecated. Use num_ancillas instead.

num_ancillas
¶ Return the number of ancilla qubits.

num_clbits
¶ Return number of classical bits.

num_parameters
¶  Return type
int

num_qubits
¶ Return number of qubits.

num_state_qubits
¶ The number of state qubits representing the state \(x\rangle\).
 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 is2**(num_state_qubits + 1)
. Return type
List
[float
]

parameters
¶  Return type
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.

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 is2**(num_state_qubits + 1)
. Return type
List
[int
]