Transfer of quantum states through a disordered channel with exponentially decaying couplings

The transmission of a qubit in a tight-binding channel with exponentially decaying hopping terms and diagonal disorder is investigated. The end sites act as sender and receiver and are perturbatively coupled to the channel. This is done to suppress interference of the channel modes during the time evolution of the state. We explore the performance of the transfer fidelity against the disorder strength and hopping range within the channel. The scaling behavior of the participation number as a function of the hopping range is also discussed. Channels featuring long-range interactions display distinct robustness against disorder and high-quality quantum state transfer is attainable even for disorder levels of the order of the largest hopping amplitude.