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iii To m y family iv Acknowledgments I h a ve been extraordinarily fortunate to have Carlton Caves as advisor for my graduate work. I have learned much a b o u t p h ysics, life, and life as a physicist from him, and I am deeply grateful for his advice and friendship. His steady vision of the role of theory in physics, his perseverance in pursuing this… (More)
The purpose of this note is to give a generalization of Gleason's theorem inspired by recent work in quantum information theory. For multipar-tite quantum systems, each of dimension three or greater, the only nonnegative frame functions over the set of unentangled states are those given by the standard Born probability rule. However, if one system is of… (More)
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We present simulations of rates for a quantum key distribution scheme using a frequency multiplexed repeater architecture with broadband solid-state quantum memories. We find that key can be generated over 1000 km with eight elementary links.