Schemes of transmission of classical information via quantum channels with many senders: discrete and continuous variables cases

Details Schemes of transmission of classical information via quantum channels with many senders: discrete and continuous variables cases Schemes of transmission of classical information via quantum channels with many senders: discrete and continuous variables cases

2011-10-12

arxiv.org/abs/1110.2594v1

Phys. Rev. A 85, 012316 (2012)

Physics

Quantum Physics

19 pages, 11 figures

Scientific paper

10.1103/PhysRevA.85.012316

Superadditivity effects in the classical capacity of discrete multi-access channels (MACs) and continuous variable (CV) Gaussian MACs are analysed. New examples of the manifestation of superadditivity in the discrete case are provided including, in particular, a channel which is fully symmetric with respect to all senders. Furthermore, we consider a class of channels for which {\it input entanglement across more than two copies of the channels is necessary} to saturate the asymptotic rate of transmission from one of the senders to the receiver. The 5-input entanglement of Shor error correction codewords surpass the capacity attainable by using arbitrary two-input entanglement for these channels. In the CV case, we consider the properties of the two channels (a beam-splitter channel and a "non-demolition" XP gate channel) analyzed in [Czekaj {\it et al.}, Phys. Rev. A {\bf 82}, 020302 (R) (2010)] in greater detail and also consider the sensitivity of capacity superadditivity effects to thermal noise. We observe that the estimates of amount of two-mode squeezing required to achieve capacity superadditivity are more optimistic than previously reported.

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