IQP

class qiskit.circuit.library.IQP(interactions)

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:

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.

Parameters

interactions (list | np.ndarray) – input n-by-n symmetric matrix.

Raises

CircuitError – if the inputs is not as symmetric matrix.

Attributes

name

from qiskit import QuantumCircuit

qc = QuantumCircuit(2, 2, name="my_circuit")
print(qc.name)

my_circuit