UnivariatePiecewiseLinearObjective

class UnivariatePiecewiseLinearObjective(num_state_qubits, min_state_value, max_state_value, breakpoints, slopes, offsets, f_min, f_max, c_approx, i_state=None, i_objective=None)

Univariate Piecewise Linear Objective Function.

This objective function applies controlled Y-rotation to the target qubit, where the control qubits represent integer value, and rotation approximates a piecewise linear function of the amplitude f:

|x\rangle |0\rangle \mapsto |x\rangle (\sqrt(1 - f(x))|0\rangle + sqrt(f(x))|1\rangle )

Parameters

num_state_qubits (int) – number of qubits to represent the state
min_state_value (float) – lower bound of values to be represented by state qubits
max_state_value (float) – upper bound of values to be represented by state qubits
breakpoints (Union[List[float], ndarray]) – breakpoints of piecewise linear function
slopes (Union[List[float], ndarray]) – slopes of linear segments
offsets (Union[List[float], ndarray]) – offset of linear segments
f_min (float) – minimal value of resulting function (required for normalization of amplitude)
f_max (float) – maximal value of resulting function (required for normalization of amplitude)
c_approx (float) – approximating factor (linear segments are approximated by contracting rotation around pi/4, where sin^2() is locally linear)
i_state (Optional[int]) – indices of qubits that represent the state
i_objective (Optional[int]) – index of target qubit to apply the rotation to

Attributes

Returns the number of target qubits

UnivariatePiecewiseLinearObjective.build(qc, q, q_ancillas=None, params=None)

UnivariatePiecewiseLinearObjective.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

UnivariatePiecewiseLinearObjective.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

UnivariatePiecewiseLinearObjective.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

UnivariatePiecewiseLinearObjective.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

UnivariatePiecewiseLinearObjective.build_inverse(qc, q, q_ancillas=None)

Adds inverse of corresponding sub-circuit to given circuit

Parameters

UnivariatePiecewiseLinearObjective.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

UnivariatePiecewiseLinearObjective.build_power(qc, q, power, q_ancillas=None)

Adds power of corresponding circuit. May be overridden if a more efficient implementation is possible

UnivariatePiecewiseLinearObjective.get_num_qubits()

returns number of qubits

UnivariatePiecewiseLinearObjective.get_num_qubits_controlled()

returns number of qubits controlled

UnivariatePiecewiseLinearObjective.required_ancillas()

requires ancillas

UnivariatePiecewiseLinearObjective.required_ancillas_controlled()

returns required ancillas controlled

UnivariatePiecewiseLinearObjective.value_to_estimation(value)

value to estimation

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