@techreport{TR-IC-14-07, number = {IC-14-07}, author = {Fernando Granha Jeronimo and Arnaldo Vieira Moura}, title = {{On the Quantum-Classical Separation of Marking and Multi-Head Automata}}, month = {May}, year = {2014}, institution = {Institute of Computing, University of Campinas}, note = {In English, 20 pages. \par\selectlanguage{english}\textbf{Abstract} A 2QCFA is an automata model that combines constant size quantum and classical memories. This model is more powerful than any 2DFA since it recognizes some non-regular and even non-context free languages. In the classical paradigm, it is possible to increase the computational power of a 2DFA by using markers (pebbles) or augmenting the number of heads. Therefore, it is natural to investigate their quantum analogues. In this work, we propose a new general marking automaton based on the 2QCFA model. We prove that this model is more powerful than its classical analogues in terms of computability and complexity. Moreover, we answer affirmatively to an open question regarding the quantum-classical computability separation of multi-head 2QCFA and 2DFA. } }