PolynomialPauliRotations¶
- class PolynomialPauliRotations(num_state_qubits=None, coeffs=None, basis='Y', name='poly')[source]¶
Bases:
FunctionalPauliRotations
A circuit implementing polynomial Pauli rotations.
For a polynomial \(p(x)\), a basis state \(|i\rangle\) and a target qubit \(|0\rangle\) this operator acts as:
\[|i\rangle |0\rangle \mapsto \cos\left(\frac{p(i)}{2}\right) |i\rangle |0\rangle + \sin\left(\frac{p(i)}{2}\right) |i\rangle |1\rangle\]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 (int | None) – The number of qubits representing the state.
coeffs (list[float] | None) – 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.
- 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.
- 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}}
- clbits¶
Returns a list of classical bits in the order that the registers were added.
- coeffs¶
The coefficients of the polynomial.
coeffs[i]
is the coefficient of the i-th power of the function input \(x\), that means that the rotation angles are based on the coefficients value, following the formula\[c_j x^j , j=0, ..., d\]where \(d\) is the degree of the polynomial \(p(x)\) and \(c\) are the coefficients
coeffs
.- Returns
The coefficients of the polynomial.
- data¶
- degree¶
Return the degree of the polynomial, equals to the number of coefficients minus 1.
- 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.
- header = 'OPENQASM 2.0;'¶
- instances = 318¶
- layout¶
Return any associated layout information anout the circuit
This attribute contains an optional
TranspileLayout
object. This is typically set on the output fromtranspile()
orPassManager.run()
to retain information about the permutations caused on the input circuit by transpilation.There are two types of permutations caused by the
transpile()
function, an initial layout which permutes the qubits based on the selected physical qubits on theTarget
, and a final layout which is an output permutation caused bySwapGate
s inserted during routing.
- 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¶
- num_qubits¶
Return number of qubits.
- num_state_qubits¶
The number of state qubits representing the state \(|x\rangle\).
- Returns
The number of state qubits.
- 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.
- Returns
List of integers representing instruction start times. The index corresponds to the index of instruction in
QuantumCircuit.data
.- Raises
AttributeError – When circuit is not scheduled.
- parameters¶
- prefix = 'circuit'¶
- qregs: list[QuantumRegister]¶
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.