PiecewiseLinearRotation
PiecewiseLinearRotation(breakpoints, slopes, offsets, num_state_qubits, basis='Y', i_state=None, i_target=None) GitHub(opens in a new tab)
DEPRECATED. Piecewise-linearly-controlled rotation.
Use Terra’s qiskit.circuit.library.PiecewiseLinearPauliRotations instead.
For a piecewise linear (not necessarily continuous) function f(x). The function f(x) 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, b_j respectively. Then f(x) is defined as:
x < x_0 –> f(x) = 0 x_j <= x < x_{j+1} –> f(x) = a_j * (x - x_j) + b_j
where we implicitly assume x_{J+1} = 2^n.
Parameters
- breakpoints (Union(list, numpy.ndarray)) – breakpoints to define piecewise-linear function
- slopes (Union(list, numpy.ndarray)) – slopes for different segments of piecewise-linear function
- offsets (Union(list, numpy.ndarray)) – offsets for different segments of piecewise-linear function
- num_state_qubits (int) – number of qubits representing the state
- basis (Optional(str)) – type of Pauli rotation (‘X’, ‘Y’, ‘Z’)
- i_state (Optional(Union(list, numpy.ndarray))) – indices of qubits representing the state, set to range(num_state_qubits) if None
- i_target (Optional(int)) – index of target qubit, set to num_state_qubits if None
Attributes
num_target_qubits
Returns the number of target qubits
Methods
build
PiecewiseLinearRotation.build(qc, q, q_ancillas=None, params=None)
Build the circuit.
build_controlled
PiecewiseLinearRotation.build_controlled(qc, q, q_control, q_ancillas=None, use_basis_gates=True)
Adds corresponding controlled sub-circuit to given circuit
Parameters
- qc (QuantumCircuit) – quantum circuit
- q (list) – list of qubits (has to be same length as self._num_qubits)
- q_control (Qubit) – control qubit
- q_ancillas (list) – list of ancilla qubits (or None if none needed)
- use_basis_gates (bool) – use basis gates for expansion of controlled circuit
build_controlled_inverse
PiecewiseLinearRotation.build_controlled_inverse(qc, q, q_control, q_ancillas=None, use_basis_gates=True)
Adds controlled inverse of corresponding sub-circuit to given circuit
Parameters
- qc (QuantumCircuit) – quantum circuit
- q (list) – list of qubits (has to be same length as self._num_qubits)
- q_control (Qubit) – control qubit
- q_ancillas (list) – list of ancilla qubits (or None if none needed)
- use_basis_gates (bool) – use basis gates for expansion of controlled circuit
build_controlled_inverse_power
PiecewiseLinearRotation.build_controlled_inverse_power(qc, q, q_control, power, q_ancillas=None, use_basis_gates=True)
Adds controlled, inverse, power of corresponding circuit. May be overridden if a more efficient implementation is possible
build_controlled_power
PiecewiseLinearRotation.build_controlled_power(qc, q, q_control, power, q_ancillas=None, use_basis_gates=True)
Adds controlled power of corresponding circuit. May be overridden if a more efficient implementation is possible
build_inverse
PiecewiseLinearRotation.build_inverse(qc, q, q_ancillas=None)
Adds inverse of corresponding sub-circuit to given circuit
Parameters
- qc (QuantumCircuit) – quantum circuit
- q (list) – list of qubits (has to be same length as self._num_qubits)
- q_ancillas (list) – list of ancilla qubits (or None if none needed)
build_inverse_power
PiecewiseLinearRotation.build_inverse_power(qc, q, power, q_ancillas=None)
Adds inverse power of corresponding circuit. May be overridden if a more efficient implementation is possible
build_power
PiecewiseLinearRotation.build_power(qc, q, power, q_ancillas=None)
Adds power of corresponding circuit. May be overridden if a more efficient implementation is possible
evaluate
PiecewiseLinearRotation.evaluate(x)
Classically evaluate the piecewise linear rotation
Parameters
x (float) – value to be evaluated at
Returns
value of piecewise linear function at x
Return type
float
get_num_qubits
PiecewiseLinearRotation.get_num_qubits()
returns number of qubits
get_num_qubits_controlled
PiecewiseLinearRotation.get_num_qubits_controlled()
returns number of qubits controlled
required_ancillas
PiecewiseLinearRotation.required_ancillas()
Return the number of required ancillas.
required_ancillas_controlled
PiecewiseLinearRotation.required_ancillas_controlled()
returns required ancillas controlled