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arXiv:1903.04535 · Information Systems Frontiers

A Quantum Router For The Entangled Web

Bernardo A. Huberman, Bob Lund

Published Dec 10, 2019• 12 citations
arXivHTMLPDF
DOI
10.1007/s10796-019-09955-5

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We report an experiment that demonstrates full function of a quantum router using entangled photons, where the paths of a single-photon pulse are controlled in a coherent fashion by polarization of another single photon. Through a projective measurement, we prepare the polarization of the control photon in arbitrary superposition states, leading to coherent routing of the target photon in quantum superposition of different paths. We demonstrate quantum nature of this router through optical measurements based on quantum state tomography and show an average fidelity of (93.24±0.23)(93.24\pm 0.23)%(93.24±0.23) for the quantum routing operation.
Over the past few years, the concept of quantum routers and their usefulness in quantum communication networks (e.g., in the BB84 protocol [5]) has been popularized in quantum information theory. While quite some work has been done on the theoretical implementation of quantum routers using multiplexing, most of it is constrained to the bipartite case [2, 9]. We extend this setup to quantum routers used in multipartite conference key agreement protocols so as to distribute a secret key among N parties. We formalize the general quantum entanglement matching problem, and show it's NP-completeness. We then study special cases for which we found efficient algorithms. Finally, we consider the weighted case where the weights represent the qubit ages.