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Diffstat (limited to 'content/know/concept/density-operator/index.pdc')
| -rw-r--r-- | content/know/concept/density-operator/index.pdc | 6 |
1 files changed, 5 insertions, 1 deletions
diff --git a/content/know/concept/density-operator/index.pdc b/content/know/concept/density-operator/index.pdc index 84c2d74..39c2e85 100644 --- a/content/know/concept/density-operator/index.pdc +++ b/content/know/concept/density-operator/index.pdc @@ -45,11 +45,15 @@ $$\begin{aligned} \end{aligned}$$ However, from the special case where $\ket{\Psi_n}$ are indeed basis vectors, -we can conclude that $\hat{\rho}$ is Hermitian, +we can conclude that $\hat{\rho}$ is positive semidefinite and Hermitian, and that its trace (i.e. the total probability) is 100%: $$\begin{gathered} \boxed{ + \hat{\rho} \ge 0 + } + \qquad \qquad + \boxed{ \hat{\rho}^\dagger = \hat{\rho} } \qquad \qquad |