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qiskit.quantum_info.mutual_information

mutual_information(state, base=2)[source]

Calculate the mutual information of a bipartite state.

The mutual information \(I\) is given by:

\[I(\rho_{AB}) = S(\rho_A) + S(\rho_B) - S(\rho_{AB})\]

where \(\rho_A=Tr_B[\rho_{AB}], \rho_B=Tr_A[\rho_{AB}]\), are the reduced density matrices of the bipartite state \(\rho_{AB}\).

Parameters
Returns

The mutual information \(I(\rho_{AB})\).

Return type

float

Raises
  • QiskitError – if the input state is not a valid QuantumState.

  • QiskitError – if input is not a bipartite QuantumState.

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