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---
title: entropy
description: API reference for qiskit.quantum_info.entropy
in_page_toc_min_heading_level: 1
python_api_type: function
python_api_name: qiskit.quantum_info.entropy
---
# qiskit.quantum\_info.entropy
<Function id="qiskit.quantum_info.entropy" isDedicatedPage={true} github="https://github.com/qiskit/qiskit/tree/stable/0.18/qiskit/quantum_info/states/measures.py" signature="entropy(state, base=2)">
Calculate the von-Neumann entropy of a quantum state.
The entropy $S$ is given by
$$
S(\rho) = - Tr[\rho \log(\rho)]
$$
**Parameters**
* **state** ([*Statevector*](qiskit.quantum_info.Statevector "qiskit.quantum_info.Statevector") *or*[*DensityMatrix*](qiskit.quantum_info.DensityMatrix "qiskit.quantum_info.DensityMatrix")) a quantum state.
* **base** (*int*) the base of the logarithm \[Default: 2].
**Returns**
The von-Neumann entropy S(rho).
**Return type**
float
**Raises**
**QiskitError** if the input state is not a valid QuantumState.
</Function>