Quantum coherence is a prime resource in quantum computing and quantum
communication. Quantum coherence of an arbitrary qubit state can be created at
a remote location using maximally entangled state, local operation and
classical communication. However, if there is a noisy channel acting on one
side of the shared resource, then, it is not possible to create perfect quantum
coherence remotely. Here, we present a method for the creation of quantum
coherence at a remote location via the use of entangled state and indefinite
causal order. We show this specifically for the superposition of two completely
depolarizing channels, two partially depolarizing channels and one completely
depolarizing channel along with a unitary operator. We find that when the
indefinite causal order of channels act on one-half of the entangled pair, then
the shared state looses entanglement, but can retain non-zero quantum discord.
This finding may have some interesting applications on its own where discord
can be consumed as a resource. Our results suggest that the indefinite causal
order along with a tiny amount of quantum discord can act as a resource in
creating non-zero quantum coherence in the absence of entanglement.Comment: 9 pages, 4 figures, Accepted in Quantum Information Processin