  Absolute separable (AS) quantum states are those states from which it is
impossible to create entanglement, even under global unitary operations. It is
known from the resource theory of non-absolute separability that the set of
absolute separable states forms a convex and compact set, and global unitaries
are free operations. We show that the action of a quantum switch controlled by
an ancilla qubit over the global unitaries can break this robustness of AS
states and produce ordinary separable states. First, we consider bipartite
qubit systems and find the effect of quantum switch starting from the states
sitting on the boundary of the set of absolute separable states. As particular
examples, we illustrate what happens to modified Werner states and Bell
diagonal (BD) states. For the Bell diagonal states, we provide the structure
for the set of AS BD states and show how the structure changes under the
influence of a switch. Further, we consider numerical generalisation of the
global unitary operations and show that it is always possible to take AS states
out of the convex set under switching operations. We also generalised our
results in higher dimensions.
