45 lines
2.2 KiB
Plaintext
45 lines
2.2 KiB
Plaintext
---
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title: iqp (dev version)
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description: API reference for qiskit.circuit.library.iqp in the dev version of qiskit
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in_page_toc_min_heading_level: 1
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python_api_type: function
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python_api_name: qiskit.circuit.library.iqp
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---
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<span id="qiskit-circuit-library-iqp" />
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# qiskit.circuit.library.iqp
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<Function id="qiskit.circuit.library.iqp" isDedicatedPage={true} github="https://github.com/Qiskit/qiskit/tree/main/qiskit/circuit/library/iqp.py#L86-L147" signature="qiskit.circuit.library.iqp(interactions)">
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Instantaneous quantum polynomial time (IQP) circuit.
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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].
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The circuit is parameterized by an $n \times n$ 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.
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**Reference Circuit:**
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**Expanded Circuit:**
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> 
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**References:**
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\[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)
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**Parameters**
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**interactions** ([*Sequence*](https://docs.python.org/3/library/collections.abc.html#collections.abc.Sequence "(in Python v3.13)")*\[*[*Sequence*](https://docs.python.org/3/library/collections.abc.html#collections.abc.Sequence "(in Python v3.13)")*\[*[*int*](https://docs.python.org/3/library/functions.html#int "(in Python v3.13)")*]]*) – The interactions as symmetric square matrix. If `None`, then the `num_qubits` argument must be set and a random IQP circuit will be generated.
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**Returns**
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An IQP circuit.
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**Return type**
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[*QuantumCircuit*](qiskit.circuit.QuantumCircuit "qiskit.circuit.quantumcircuit.QuantumCircuit")
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</Function>
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