qat.quops.metrics.get_trace_distance
- qat.quops.metrics.get_trace_distance(rho1, rho2)
Compute the trace distance between two density matrices.
\[ \begin{align}\begin{aligned}D (\rho_1, \rho_2) = \frac{1}{2} || \rho_1 - \rho_2 ||\\|| X || = \mathrm{Tr} \sqrt{ X^\dagger \cdot X}\end{aligned}\end{align} \]- Parameters
rho1 (matrix) – first matrix \(\rho_1\)
rho2 (matrix) – second matrix \(\rho_2\)
- Returns
The trace distance \(D(\rho_1, \rho_2)\)
- Return type
float