Coherent Communication of Classical Messages

Physics – Quantum Physics

Scientific paper

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5 pages, revtex, v2: updated references, v3: changed title, fixed error in eq (10)

Scientific paper

10.1103/PhysRevLett.92.097902

We define "coherent communication" in terms of a simple primitive, show it is equivalent to the ability to send a classical message with a unitary or isometric operation, and use it to relate other resources in quantum information theory. Using coherent communication, we are able to generalize super-dense coding to prepare arbitrary quantum states instead of only classical messages. We also derive single-letter formulae for the classical and quantum capacities of a bipartite unitary gate assisted by an arbitrary fixed amount of entanglement per use.

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