  Quantum entanglement and coherence are two fundamental resources for quantum
information processing. Recent results clearly demonstrate their relevance in
quantum technological tasks, including quantum communication and quantum
algorithms. In this Letter we study the role of quantum coherence for quantum
state redistribution, a fundamental task where two parties aim to relocate a
quantum particle by using a limited amount of quantum communication and shared
entanglement. We provide general bounds for the resource rates required for
this process, and show that these bounds are tight under additional reasonable
constraints, including the situation where the receiving party cannot use local
coherence. While entanglement cannot be directly converted into local coherence
in our setting, we show that entanglement is still useful for local coherence
creation if an additional quantum channel is provided, and the optimal protocol
for local coherence creation for any given amount of quantum communication and
shared entanglement is presented. We also discuss possible extensions of our
methods to other scenarios where the receiving party is limited by local
constraints, including theories of thermodynamics and asymmetry.
