Solution
= Solution
\b[Yes.] Alice and Bob both measure in the Hadamard basis $|+\rangle,|-\rangle$. The identities
$$
|\Phi^+\rangle=\frac{|++\rangle+|--\rangle}{\sqrt2},
\qquad
|\Phi^-\rangle=\frac{|+-\rangle+|-+\rangle}{\sqrt2}
$$
show that their outcomes agree for $|\Phi^+\rangle$ and differ for $|\Phi^-\rangle$. After exchanging one classical bit they know which state they had. This is the <LOCC discrimination of two Bell states>.