A Quantum Abacus based encoding system
  A formal description of a quantum abacus based encoding system is presented. This way of representing data for processing purposes is based on a quantum algorithm for counting qubits introduced by Lesovik et al. \cite{LesovikEtal2010} and Suslov et al. \cite{SuslovEtal2011}, but formally developed in this work. Finally, in order to illustrate the potential of this proposal, the implementation of the basic quantum array operations through this encoding system is presented. 
J.V.\'Alvarez-Bravo, J.J. \'Alvarez-S\'anchez, Ignacio Aparicio   Morgado
quant-ph cs.DS