On the power of quantum finite state automata
FOCS '97 Proceedings of the 38th Annual Symposium on Foundations of Computer Science
Logical reversibility of computation
IBM Journal of Research and Development
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DLT '01 Revised Papers from the 5th International Conference on Developments in Language Theory
Lower Bounds for Generalized Quantum Finite Automata
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Improved Constructions of Quantum Automata
Theory of Quantum Computation, Communication, and Cryptography
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UC'10 Proceedings of the 9th international conference on Unconventional computation
Languages recognized by nondeterministic quantum finite automata
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Characterizations of one-way general quantum finite automata
Theoretical Computer Science
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Natural Computing: an international journal
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Since a quantum computational system is a generalization of a classical computational system, its computational power should be greater or equal than that of the classical system. In spite of that the computational power of 1-way quantum finite automata has been shown to be smaller than that of their classical counterpart. I argue that this paradox lies on the ground that the currently accepted definition of quantum automaton neglects the concept of quantum reversibility. In this article I review the role that reversibility plays into quantum computing and I propose a new model of 1-way quantum finite automata whose computational power is at least equal to that of classical automata.