Skip to main contentIBM Quantum Documentation
You are viewing the API reference for an old version of Qiskit SDK. Switch to latest version

qiskit.quantum_info.mutual_information

mutual_information(state, base=2)

GitHub(opens in a new tab)

Calculate the mutual information of a bipartite state.

The mutual information II is given by:

I(ρAB)=S(ρA)+S(ρB)S(ρAB)I(\rho_{AB}) = S(\rho_A) + S(\rho_B) - S(\rho_{AB})

where ρA=TrB[ρAB],ρB=TrA[ρAB]\rho_A=Tr_B[\rho_{AB}], \rho_B=Tr_A[\rho_{AB}], are the reduced density matrices of the bipartite state ρAB\rho_{AB}.

Parameters

Returns

The mutual information I(ρAB)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.
Was this page helpful?
Report a bug or request content on GitHub.