Quantum model of emerging grammars

A special class of quantum recurrent nets (QRNs) simulating Markov chains with absorbing states is introduced. The absorbing states are exploited for pattern recognition: each class of patterns is attracted to a unique absorbing state. Due to quantum interference of patterns, each combination of patterns acquires its own meaning: it is attracted to a certain combination of absorbing states which is different from those of individual attractions. This fundamentally new effect can be interpreted as formation of a grammar, i.e., a set of rules assigning certain meaning to different combinations of patterns. It appears that there exists a class of unitary operators in which each member gives rise to a different artificial language with associated grammar.