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IQP

class IQP(interactions)[source]

Bases: QuantumCircuit

Instantaneous quantum polynomial (IQP) circuit.

The circuit consists of a column of Hadamard gates, a column of powers of T gates, a sequence of powers of CS gates (up to \(\frac{n^2-n}{2}\) of them), and a final column of Hadamard gates, as introduced in [1].

The circuit is parameterized by an n x n interactions matrix. The powers of each T gate are given by the diagonal elements of the interactions matrix. The powers of the CS gates are given by the upper triangle of the interactions matrix.

Reference Circuit:

../_images/qiskit.circuit.library.IQP_0_0.png

Expanded Circuit:

References:

[1] M. J. Bremner et al. Average-case complexity versus approximate simulation of commuting quantum computations, Phys. Rev. Lett. 117, 080501 (2016). arXiv:1504.07999

Create IQP circuit.

প্যারামিটার

interactions (Union[List, array]) -- input n-by-n symmetric matrix.

রেইজেস

CircuitError -- if the inputs is not as symmetric matrix.

Attributes

ancillas

Returns a list of ancilla bits in the order that the registers were added.

রিটার্ন টাইপ

List[AncillaQubit]

calibrations

Return calibration dictionary.

The custom pulse definition of a given gate is of the form

{'gate_name': {(qubits, params): schedule}}

রিটার্ন টাইপ

dict

clbits

Returns a list of classical bits in the order that the registers were added.

রিটার্ন টাইপ

List[Clbit]

data

Return the circuit data (instructions and context).

রিটার্নস

a list-like object containing the CircuitInstructions for each instruction.

রিটার্ন টাইপ

QuantumCircuitData

extension_lib = 'include "qelib1.inc";'
global_phase

Return the global phase of the circuit in radians.

রিটার্ন টাইপ

Union[ParameterExpression, float]

header = 'OPENQASM 2.0;'
instances = 94
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.

রিটার্ন টাইপ

dict

num_ancillas

Return the number of ancilla qubits.

রিটার্ন টাইপ

int

num_clbits

Return number of classical bits.

রিটার্ন টাইপ

int

num_parameters

The number of parameter objects in the circuit.

রিটার্ন টাইপ

int

num_qubits

Return number of qubits.

রিটার্ন টাইপ

int

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.

রিটার্ন টাইপ

List[int]

রিটার্নস

List of integers representing instruction start times. The index corresponds to the index of instruction in QuantumCircuit.data.

রেইজেস

AttributeError -- When circuit is not scheduled.

parameters

The parameters defined in the circuit.

This attribute returns the Parameter objects in the circuit sorted alphabetically. Note that parameters instantiated with a ParameterVector are still sorted numerically.

Examples

The snippet below shows that insertion order of parameters does not matter.

>>> from qiskit.circuit import QuantumCircuit, Parameter
>>> a, b, elephant = Parameter("a"), Parameter("b"), Parameter("elephant")
>>> circuit = QuantumCircuit(1)
>>> circuit.rx(b, 0)
>>> circuit.rz(elephant, 0)
>>> circuit.ry(a, 0)
>>> circuit.parameters  # sorted alphabetically!
ParameterView([Parameter(a), Parameter(b), Parameter(elephant)])

Bear in mind that alphabetical sorting might be unituitive when it comes to numbers. The literal "10" comes before "2" in strict alphabetical sorting.

>>> from qiskit.circuit import QuantumCircuit, Parameter
>>> angles = [Parameter("angle_1"), Parameter("angle_2"), Parameter("angle_10")]
>>> circuit = QuantumCircuit(1)
>>> circuit.u(*angles, 0)
>>> circuit.draw()
   ┌─────────────────────────────┐
q: ┤ U(angle_1,angle_2,angle_10) ├
   └─────────────────────────────┘
>>> circuit.parameters
ParameterView([Parameter(angle_1), Parameter(angle_10), Parameter(angle_2)])

To respect numerical sorting, a ParameterVector can be used.


>>> from qiskit.circuit import QuantumCircuit, Parameter, ParameterVector
>>> x = ParameterVector("x", 12)
>>> circuit = QuantumCircuit(1)
>>> for x_i in x:
...     circuit.rx(x_i, 0)
>>> circuit.parameters
ParameterView([
    ParameterVectorElement(x[0]), ParameterVectorElement(x[1]),
    ParameterVectorElement(x[2]), ParameterVectorElement(x[3]),
    ..., ParameterVectorElement(x[11])
])
রিটার্ন টাইপ

ParameterView

রিটার্নস

The sorted Parameter objects in the circuit.

prefix = 'circuit'
qubits

Returns a list of quantum bits in the order that the registers were added.

রিটার্ন টাইপ

List[Qubit]