Entanglement-breaking channels in infinite dimensions

Details Entanglement-breaking channels in infinite dimensions Entanglement-breaking channels in infinite dimensions

2008-02-03

arxiv.org/abs/0802.0235v1

Problems of Information Transmission 44:3 (2008) 3-18

Physics

Quantum Physics

16 pages

Scientific paper

We give a representation for entanglement-breaking channels in separable Hilbert space that generalizes the "Kraus decomposition with rank one operators" and use it to describe the complementary channels. We also give necessary and sufficient condition of entanglement-breaking for a general quantum Gaussian channel. Application of this condition to one-mode channels provides several new cases where the additivity conjecture holds in full generality.

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