  The superposition principle provides us the opportunity to unfold many
surprising facts. One such fact leads to the generation of entanglement which
may allow one to teleport an unknown quantum state from one location to
another. While all pure entangled states can provide nonclassical fidelity for
quantum teleportation, perfect teleportation comes at the cost of having a
maximally entangled state shared between the sender and the receiver. In this
work, we consider a situation where the sender and the receiver are in a
superposed situation of sharing a maximally entangled state and not sharing
anything, controlled by a quantum switch. We consider two distinct protocols:
in the first case, the sender and the receiver do nothing when there is no
shared entanglement and in the second case, they use classical communication in
absence of entanglement. In each of the protocols, we follow two different
paths. In the first path, after the protocol is completed, we simply throw away
the switch. In the second path, after accomplishing the protocol, we operate a
Hadamard gate on the switch, measure the switch's state, and consider the
outcome corresponding to a particular state of the switch. We compare the two
paths with the maximum fidelity achievable through random guess or utilizing
classical resources only. In particular, we provide conditions to achieve
nonclassical fidelity in teleportation by applying quantum switch. We comment
on whether the difference between the two paths can be expressed in terms of
quantum coherence present in the switch's state.
