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Information storage capacity of crossbar switching networks

In this work we ask the fundamental question: How many bits of information can be stored in a crossbar switching network? The answer is trivial when the switches of the network are in series with diodes (semi-conductive) but it is complicated when the switches are regular contacts. Exact explicit expressions and sim-ple asymptotic bounds of the storage capacity (in bits) are derived for the general crossbar switching network with regular contact switches.