Additivity of Entangled Channel Capacity for Quantum Input States

Details Additivity of Entangled Channel Capacity for Quantum Input States Additivity of Entangled Channel Capacity for Quantum Input States

2007-02-10

arxiv.org/abs/quant-ph/0702098v1

Physics

Quantum Physics

17 pages. See the related papers at http://www.maths.nott.ac.uk/personal/vpb/research/ent_com.html

Scientific paper

An elementary introduction into algebraic approach to unified quantum information theory and operational approach to quantum entanglement as generalized encoding is given. After introducing compound quantum state and two types of informational divergences, namely, Araki-Umegaki (a-type) and of Belavkin-Staszewski (b-type) quantum relative entropic information, this paper treats two types of quantum mutual information via entanglement and defines two types of corresponding quantum channel capacities as the supremum via the generalized encodings. It proves the additivity property of quantum channel capacities via entanglement, which extends the earlier results of V. P. Belavkin to products of arbitrary quantum channels for quantum relative entropy of any type.

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