Ex10 11

$\def\abs#1{|#1|}\def\i{\mathbf {i}}\def\ket#1{|{#1}\rangle}\def\bra#1{\langle{#1}|}\def\braket#1#2{\langle{#1}|{#2}\rangle}\def\tr{\mathord{\mbox{tr}}}\mathbf{Exercise\ 11}$

a) Show that the states $\frac{1}{\sqrt{2}}(\ket{01}+\ket{10})$ and $\frac{1}{\sqrt{2}}(\ket{00} - i\ket{11})$ are maximally entangled.

b) Write down two other maximally entangled states.