In Section 6.6 we showed that, if two qubits are in the singlet state then measurements of parallel spin components (in the XZ plane) always yield opposite results. (a) Show that this is also true...

In Section 6.6 we showed that, if two qubits are in the singlet state

then measurements of parallel spin components (in the XZ plane) always yield opposite results.

(a) Show that this is also true for Y measurements on

(b) Does there exist an “anti-singlet” state of two qubits, for which measurements of parallel spin components always yield identical results? If so, write down the state vector. If not, give a proof that no state, product or entangled, can do this.