qiskit-documentation/docs/api/qiskit/0.29/qiskit.circuit.library.IQP.mdx

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---
title: IQP
description: API reference for qiskit.circuit.library.IQP
in_page_toc_min_heading_level: 1
python_api_type: class
python_api_name: qiskit.circuit.library.IQP
---
# IQP
<Class id="qiskit.circuit.library.IQP" isDedicatedPage={true} github="https://github.com/qiskit/qiskit/tree/stable/0.18/qiskit/circuit/library/iqp.py" signature="IQP(interactions)" modifiers="class">
Bases: `qiskit.circuit.quantumcircuit.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](/images/api/qiskit/0.29/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](https://arxiv.org/abs/1504.07999)
Create IQP circuit.
**Parameters**
**interactions** (`Union`\[`List`, `array`]) input n-by-n symmetric matrix.
**Raises**
**CircuitError** if the inputs is not as symmetric matrix.
## Attributes
### ancillas
<Attribute id="qiskit.circuit.library.IQP.ancillas">
Returns a list of ancilla bits in the order that the registers were added.
</Attribute>
### calibrations
<Attribute id="qiskit.circuit.library.IQP.calibrations">
Return calibration dictionary.
**The custom pulse definition of a given gate is of the form**
\{gate\_name: \{(qubits, params): schedule}}
</Attribute>
### clbits
<Attribute id="qiskit.circuit.library.IQP.clbits">
Returns a list of classical bits in the order that the registers were added.
</Attribute>
### data
<Attribute id="qiskit.circuit.library.IQP.data">
Return the circuit data (instructions and context).
**Returns**
a list-like object containing the tuples for the circuits data.
Each tuple is in the format `(instruction, qargs, cargs)`, where instruction is an Instruction (or subclass) object, qargs is a list of Qubit objects, and cargs is a list of Clbit objects.
**Return type**
QuantumCircuitData
</Attribute>
### extension\_lib
<Attribute id="qiskit.circuit.library.IQP.extension_lib" attributeValue="'include &#x22;qelib1.inc&#x22;;'" />
### global\_phase
<Attribute id="qiskit.circuit.library.IQP.global_phase">
Return the global phase of the circuit in radians.
</Attribute>
### header
<Attribute id="qiskit.circuit.library.IQP.header" attributeValue="'OPENQASM 2.0;'" />
### instances
<Attribute id="qiskit.circuit.library.IQP.instances" attributeValue="16" />
### metadata
<Attribute id="qiskit.circuit.library.IQP.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.
</Attribute>
### num\_ancillas
<Attribute id="qiskit.circuit.library.IQP.num_ancillas">
Return the number of ancilla qubits.
</Attribute>
### num\_clbits
<Attribute id="qiskit.circuit.library.IQP.num_clbits">
Return number of classical bits.
</Attribute>
### num\_parameters
<Attribute id="qiskit.circuit.library.IQP.num_parameters">
Convenience function to get the number of parameter objects in the circuit.
</Attribute>
### num\_qubits
<Attribute id="qiskit.circuit.library.IQP.num_qubits">
Return number of qubits.
</Attribute>
### parameters
<Attribute id="qiskit.circuit.library.IQP.parameters">
Convenience function to get the parameters defined in the parameter table.
</Attribute>
### prefix
<Attribute id="qiskit.circuit.library.IQP.prefix" attributeValue="'circuit'" />
### qubits
<Attribute id="qiskit.circuit.library.IQP.qubits">
Returns a list of quantum bits in the order that the registers were added.
</Attribute>
</Class>