Transmission of information through mesoscopic scattering systems
Department of Applied Physics and Physics, Yale University, 32000, New Haven, USA
2 Department of Physics, Technion Israel Institute of Technology, Haifa, Israel
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Published online: 27 November 2008
The storage and transmission of information is well defined using the notions of entropy, mutual information and channel capacity as formalized by Shannon. These quantities are calculated for a quantum mesoscopic system in terms of scattering parameters. For a one-dimensional system, the mutual information is related to the thermal conductance. This relation allows to show that for an incident signal of power P, the channel capacity C has a universal upper bound given by C independent of quantum statistics. A general framework is proposed which makes use of a natural underlying symplectic structure, to relate the entropy of a quantum mesoscopic system to the scattering matrix.
PACS: 73.23.-b Electronic transport in mesoscopic systems – / 05.60.Gg Quantum transport – / 65.40.gd Entropy – / 03.67.Hk Quantum communication –
© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg, 2009