---
title: QiskitAerMPS (latest version)
description: API reference for qiskit_addon_aqc_tensor.simulation.aer.QiskitAerMPS in the latest version of qiskit-addon-aqc-tensor
source: https://quantum.cloud.ibm.com/docs/en/api/qiskit-addon-aqc-tensor/simulation-aer-qiskit-aer-mps
---

# QiskitAerMPS

*class* `QiskitAerMPS(gamma, lamb)`

[GitHub](https://github.com/Qiskit/qiskit-addon-aqc-tensor/tree/stable/0.3/qiskit_addon_aqc_tensor/simulation/aer/state.py#L26-L44)

Bases: [`TensorNetworkState`](/docs/api/qiskit-addon-aqc-tensor/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)*\[*[*tuple*](https://docs.python.org/3/library/stdtypes.html#tuple)*\[*[*ndarray*](https://numpy.org/doc/stable/reference/generated/numpy.ndarray.html#numpy.ndarray)*,* [*ndarray*](https://numpy.org/doc/stable/reference/generated/numpy.ndarray.html#numpy.ndarray)*]]*)
- **lamb** ([*list*](https://docs.python.org/3/library/stdtypes.html#list)*\[*[*ndarray*](https://numpy.org/doc/stable/reference/generated/numpy.ndarray.html#numpy.ndarray)*]*)

### gamma

Type: [`list`](https://docs.python.org/3/library/stdtypes.html#list)`[`[`tuple`](https://docs.python.org/3/library/stdtypes.html#tuple)`[`[`ndarray`](https://numpy.org/doc/stable/reference/generated/numpy.ndarray.html#numpy.ndarray)`,` [`ndarray`](https://numpy.org/doc/stable/reference/generated/numpy.ndarray.html#numpy.ndarray)`]]`

Gamma matrices (list of 2-tuples of ndarrays, one for each site).

### lamb

Type: [`list`](https://docs.python.org/3/library/stdtypes.html#list)`[`[`ndarray`](https://numpy.org/doc/stable/reference/generated/numpy.ndarray.html#numpy.ndarray)`]`

Lambda matrices (list of ndarrays, one for each bond between adjacent qubits).