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ON FINITE AUTOMATA WITH QUANTUM AND CLASSICAL STATES

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Author(s):
Grilo, A. B. ; Moura, A., V
Total Authors: 2
Document type: Journal article
Source: SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA; v. 10, p. 13-pg., 2013-01-01.
Abstract

Several quantum computational models were proposed in order to study how the quantum structure of matter could improve computational tasks. Among them, there are some that are based on finite automata, which are simpler computational devices, that helps to understand how a finite number of qubits could help to increase the power of the model. In this work, we study two-way finite automata with quantum and classical states (2QCFA), focusing on computability and complexity questions. We show results presented in the literature involving languages recognizability and closure properties and we then present some partial results on languages not recognized by the model. (AU)

FAPESP's process: 12/22478-7 - Computational complexity and quantum computing
Grantee:Alex Bredariol Grilo
Support Opportunities: Scholarships abroad - Research Internship - Master's degree
FAPESP's process: 12/06648-0 - Quantum Computing and Theoretical Computer Science
Grantee:Alex Bredariol Grilo
Support Opportunities: Scholarships in Brazil - Master