  We characterise all Jordan triple product homomorphisms, that is, mappings
$\Phi$ satisfying $$ \Phi(ABA) = \Phi(A)\Phi(B)\Phi(A) $$ from the set of all
Hermitian $n \times n$ complex matrices to the field of complex numbers.
Further we characterise all Jordan triple product homomorphisms from the field
of complex or real numbers or the set of all nonnegative real numbers to the
set of all Hermitian $n \times n$ complex matrices.
