Consider a system (A cup B), with total Hamiltonian diagonalized by states (|1angle_{A} otimes|1angle_{B},|2angle_{A} otimes) (|2angle_{B},|3angle_{A} otimes|4angle_{B},|4angle_{A}

Question:

Consider a system $A \cup B$, with total Hamiltonian diagonalized by states $|1angle_{A} \otimes|1angle_{B},|2angle_{A} \otimes$ $|2angle_{B},|3angle_{A} \otimes|4angle_{B},|4angle_{A} \otimes|3angle_{B}$, of energies $E_{1}, E_{2}, E_{3}, E_{4}$, respectively. Calculate the thermal entanglement entropy at temperature $T$.

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