Abstract
The goal of demonstrating a quantum advantage for useful applications with currently available technology is an important challenge in quantum information science. In this talk, we discuss examples of such rigorous demonstration of advantage in security and efficiency due to the use of quantum resources for cryptographic and communication complexity protocols. This requires devising novel protocols amenable to experimental implementations, which involve encoding in properties of coherent states of light, linear optic circuits and single-photon detection. We further discuss the extension of our results in quantum communication complexity to the efficient verification of NP-complete problems with limited information.
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