Quantum-to-classical rate distortion coding

Publication Type:
Journal Article
Journal Of Mathematical Physics, 2013, 54 (4), pp. 1 - 17
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We establish a theory of quantum-to-classical rate distortion coding. In this setting, a sender Alice has many copies of a quantum information source. Her goal is to transmit a classical description of the source, obtained by performing a measurement on it, to a receiver Bob, up to some specified level of distortion. We derive a single-letter formula for theminimum rate of classical communication needed for this task.We also evaluate this rate in the case in which Bob has some quantum side information about the source. Our results imply that, in general, Alices best strategy is a non-classical one, in which she performs a collective measurement on successive outputs of the source.
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