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True / False
Consider
ρ
=
[
0.75
0.25
0.25
0.25
]
\rho = \begin{bmatrix}0.75 & 0.25 \\ 0.25 & 0.25\end{bmatrix}
ρ
=
[
0.75
0.25
0.25
0.25
]
. A valid density matrix must satisfy: trace
=
1
= 1
=
1
, Hermitian (
ρ
=
ρ
†
\rho = \rho^\dagger
ρ
=
ρ
†
), and positive semidefinite (all eigenvalues
≥
0
\geq 0
≥
0
). Does this
ρ
\rho
ρ
satisfy ALL three conditions?
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True
False
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