PolynomialPauliRotations¶
- class PolynomialPauliRotations(num_state_qubits=None, coeffs=None, basis='Y', name='poly')[source]¶
Bases:
qiskit.circuit.library.arithmetic.functional_pauli_rotations.FunctionalPauliRotations
A circuit implementing polynomial Pauli rotations.
For a polynomial :math`p(x)`, a basis state \(|i\rangle\) and a target qubit \(|0\rangle\) this operator acts as:
\[|i\rangle |0\rangle \mapsto \cos(p(i)) |i\rangle |0\rangle + \sin(p(i)) |i\rangle |1\rangle\]Let n be the number of qubits representing the state, d the degree of p(x) and q_i the qubits, where q_0 is the least significant qubit. Then for
\[x = \sum_{i=0}^{n-1} 2^i q_i,\]we can write
\[p(x) = \sum_{j=0}^{j=d} c_j x_j\]where \(c\) are the input coefficients,
coeffs
.Prepare an approximation to a state with amplitudes specified by a polynomial.
- Parameters
num_state_qubits (
Optional
[int
]) – The number of qubits representing the state.coeffs (
Optional
[List
[float
]]) – The coefficients of the polynomial.coeffs[i]
is the coefficient of the i-th power of x. Defaults to linear: [0, 1].basis (
str
) – The type of Pauli rotation (‘X’, ‘Y’, ‘Z’).name (
str
) – The name of the circuit.
Attributes
- ancillas¶
Returns a list of ancilla bits in the order that the registers were added.
- Return type
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.
- Return type
str
- Returns
The kind of Pauli rotation used in controlled rotation.
- calibrations¶
Return calibration dictionary.
- The custom pulse definition of a given gate is of the form
{‘gate_name’: {(qubits, params): schedule}}
- Return type
dict
- clbits¶
Returns a list of classical bits in the order that the registers were added.
- Return type
List
[Clbit
]
- coeffs¶
The multiplicative factor in the rotation angle of the controlled rotations.
The rotation angles are
slope * 2^0
,slope * 2^1
, … ,slope * 2^(n-1)
wheren
is the number of state qubits.- Return type
List
[float
]- Returns
The rotation angle common in all controlled rotations.
- data¶
- degree¶
Return the degree of the polynomial, equals to the number of coefficients minus 1.
- Return type
int
- Returns
The degree of the polynomial. If the coefficients have not been set, return 0.
- extension_lib = 'include "qelib1.inc";'¶
- global_phase¶
Return the global phase of the circuit in radians.
- Return type
Union
[ParameterExpression
,float
]
- header = 'OPENQASM 2.0;'¶
- instances = 9¶
- 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.- Return type
dict
- num_ancilla_qubits¶
Deprecated. Use num_ancillas instead.
- num_ancillas¶
Return the number of ancilla qubits.
- Return type
int
- num_clbits¶
Return number of classical bits.
- Return type
int
- num_parameters¶
- Return type
int
- num_qubits¶
Return number of qubits.
- Return type
int
- num_state_qubits¶
The number of state qubits representing the state \(|x\rangle\).
- Return type
int
- Returns
The number of state qubits.
- parameters¶
- Return type
ParameterView
- prefix = 'circuit'¶
- qregs¶
A list of the quantum registers associated with the circuit.