TBE (bit labels);
shows the sum of the binary entropies of individual qubits specified by
bit labels. A binary entropy of the
-th qubit is
![$\displaystyle H_b(\varepsilon_i)=-\left(\frac{1+\varepsilon_i}{2}\log_2\frac{1+\varepsilon_i}{2}+\frac{1-\varepsilon_i}{2}\log_2\frac{1-\varepsilon_i}{2}\right),$](img116.png) |
(18) |
where
is the intrinsic polarization of the
-th qubit,
which is calculated according to the eigenvalues,
and
, of the reduced density operator
of the qubit.
In other words, the command shows the total binary entropy
![$\displaystyle S_b=\sum_{specified~~i}S_{vN}(\tilde\rho_i),$](img120.png) |
(19) |
where
denotes the von Neumann entropy.
root
2004-11-07