Topic: Advanced Algebra and Number Theory
 Consider the state:
$$\ket{\psi} = \frac{\ket{00} + \ket{01} + \ket{10}}{\sqrt{3}}$$

(a). Calculate the reduced density matrix of the second qubit of $\ket{\psi}$.

Topic: Advanced Algebra and Number Theory
Proof that Q(sqrt(-11)) is a principal ideal domain