PiecewiseLinearPauliRotations¶
- class PiecewiseLinearPauliRotations(num_state_qubits=None, breakpoints=None, slopes=None, offsets=None, basis='Y', name='pw_lin')[source]¶
Bases :
FunctionalPauliRotationsPiecewise-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
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 is2**(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]
- header = 'OPENQASM 2.0;'¶
- 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.
- metadata¶
The user provided metadata associated with the circuit
The metadata for the circuit is a user provided
dictof 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 is2**(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 is2**(num_state_qubits + 1).- Type renvoyé
List[int]