  The manipulation of quantum many-body systems is a frontier challenge in
quantum science. Entangled quantum states that are symmetric to permutation
between qubits are of growing interest. Yet, the creation and control of
symmetric states has remained a challenge. Here, we find a way to universally
control symmetric states, proposing a scheme that relies solely on coherent
rotations and spin squeezing. We present protocols for the creation of
different symmetric states including Schrodinger cat and
Gottesman-Kitaev-Preskill states. The obtained symmetric states can be
transferred to traveling photonic states via spontaneous emission, providing a
powerful mechanism for the creation of desired quantum light states.
