- #1

- 46

- 0

## Main Question or Discussion Point

Let P be a density matrix. Then the von neumann entropy is defined as

S(P) = -tr(P*log(P))

But how is log(P) defined ?

--edit--

found the answer. the trace is independent of representation so that if P is diagonalized with eigenvalues {k} then S(P) = H({k}) where H is the shannon entropy.

S(P) = -tr(P*log(P))

But how is log(P) defined ?

--edit--

found the answer. the trace is independent of representation so that if P is diagonalized with eigenvalues {k} then S(P) = H({k}) where H is the shannon entropy.

Last edited: