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---
title: QiskitAerMPS (latest version)
description: API reference for qiskit_addon_aqc_tensor.simulation.aer.QiskitAerMPS in the latest version of qiskit-addon-aqc-tensor
in_page_toc_min_heading_level: 1
python_api_type: class
python_api_name: qiskit_addon_aqc_tensor.simulation.aer.QiskitAerMPS
---
# QiskitAerMPS
<Class id="qiskit_addon_aqc_tensor.simulation.aer.QiskitAerMPS" isDedicatedPage={true} github="https://github.com/Qiskit/qiskit-addon-aqc-tensor/tree/stable/0.1/qiskit_addon_aqc_tensor/simulation/aer/state.py#L26-L44" signature="QiskitAerMPS(gamma, lamb)[source]" modifiers="class">
Bases: [`TensorNetworkState`](simulation#qiskit_addon_aqc_tensor.simulation.TensorNetworkState "qiskit_addon_aqc_tensor.simulation.abstract.TensorNetworkState")
Qiskit Aer representation of a matrix-product state.
This form of a matrix-product state was introduced in the original time-evolving block decimation (TEBD) paper, [https://arxiv.org/abs/quant-ph/0301063](https://arxiv.org/abs/quant-ph/0301063). See Sec. 7.3.2 of [https://arxiv.org/abs/1008.3477v2](https://arxiv.org/abs/1008.3477v2) for more details on the relationship with other MPS representations.
## Attributes
**Parameters**
* **gamma** ([*list*](https://docs.python.org/3/library/stdtypes.html#list "(in Python v3.13)")*\[*[*tuple*](https://docs.python.org/3/library/stdtypes.html#tuple "(in Python v3.13)")*\[*[*ndarray*](https://numpy.org/doc/stable/reference/generated/numpy.ndarray.html#numpy.ndarray "(in NumPy v2.1)")*,* [*ndarray*](https://numpy.org/doc/stable/reference/generated/numpy.ndarray.html#numpy.ndarray "(in NumPy v2.1)")*]]*)
* **lamb** ([*list*](https://docs.python.org/3/library/stdtypes.html#list "(in Python v3.13)")*\[*[*ndarray*](https://numpy.org/doc/stable/reference/generated/numpy.ndarray.html#numpy.ndarray "(in NumPy v2.1)")*]*)
### gamma
<Attribute id="qiskit_addon_aqc_tensor.simulation.aer.QiskitAerMPS.gamma" attributeTypeHint="list[tuple[ndarray, ndarray]]">
Gamma matrices (list of 2-tuples of ndarrays, one for each site).
</Attribute>
### lamb
<Attribute id="qiskit_addon_aqc_tensor.simulation.aer.QiskitAerMPS.lamb" attributeTypeHint="list[ndarray]">
Lambda matrices (list of ndarrays, one for each bond between adjacent qubits).
</Attribute>
</Class>