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qiskit.quantum_info.purity

purity(state, validate=True)[source]

Calculate the purity of a quantum state.

The purity of a density matrix \(\rho\) is

\[\text{Purity}(\rho) = Tr[\rho^2]\]
Parameters
  • state (Statevector or DensityMatrix) – a quantum state.

  • validate (bool) – check if input state is valid [Default: True]

Returns

the purity \(Tr[\rho^2]\).

Return type

float

Raises

QiskitError – if the input isn’t a valid quantum state.

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