Universality of a reversible two-counter machine
Theoretical Computer Science - Special issue on universal machines and computations
Undecidability on quantum finite automata
STOC '99 Proceedings of the thirty-first annual ACM symposium on Theory of computing
Two-Way Counter Machines and Diophantine Equations
Journal of the ACM (JACM)
Reversible space equals deterministic space
Journal of Computer and System Sciences - Eleventh annual conference on computational learning theory&slash;Twelfth Annual IEEE conference on computational complexity
Quantum automata and quantum grammars
Theoretical Computer Science
Dense quantum coding and quantum finite automata
Journal of the ACM (JACM)
Characterizations of 1-Way Quantum Finite Automata
SIAM Journal on Computing
Two-way finite automata with quantum and classical states
Theoretical Computer Science - Natural computing
One-way probabilistic reversible and quantum one-counter automata
Theoretical Computer Science
Quantum Finite Multitape Automata
SOFSEM '99 Proceedings of the 26th Conference on Current Trends in Theory and Practice of Informatics on Theory and Practice of Informatics
Quantum Finite One-Counter Automata
SOFSEM '99 Proceedings of the 26th Conference on Current Trends in Theory and Practice of Informatics on Theory and Practice of Informatics
Quantum versus Probabilistic One-Way Finite Automata with Counter
SOFSEM '01 Proceedings of the 28th Conference on Current Trends in Theory and Practice of Informatics Piestany: Theory and Practice of Informatics
Quantum Finite State Transducers
SOFSEM '01 Proceedings of the 28th Conference on Current Trends in Theory and Practice of Informatics Piestany: Theory and Practice of Informatics
Exact results for accepting probabilities of quantum automata
Theoretical Computer Science - Mathematical foundations of computer science
On the power of quantum finite state automata
FOCS '97 Proceedings of the 38th Annual Symposium on Foundations of Computer Science
1-way quantum finite automata: strengths, weaknesses and generalizations
FOCS '98 Proceedings of the 39th Annual Symposium on Foundations of Computer Science
Optimal Lower Bounds for Quantum Automata and Random Access Codes
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
Probabilities to accept languages by quantum finite automata
COCOON'99 Proceedings of the 5th annual international conference on Computing and combinatorics
Exact Quantum Algorithms for the Leader Election Problem
ACM Transactions on Computation Theory (TOCT)
Quantum computation with write-only memory
Natural Computing: an international journal
One-Way reversible and quantum finite automata with advice
LATA'12 Proceedings of the 6th international conference on Language and Automata Theory and Applications
DCFS'12 Proceedings of the 14th international conference on Descriptional Complexity of Formal Systems
Hi-index | 5.23 |
This paper focuses on quantum analogues of various models of counter automata, and almost completely proves the relation between the classes of languages recognizable by bounded error quantum ones and classical deterministic ones in every model of counter automata. It is proved that (i) there are languages that can be recognized by two-way quantum one-counter automata with bounded error, but cannot be recognized by two-way deterministic one-counter automata, (ii) under some reasonable restriction, every language that can be recognized by two-way deterministic one-counter automata can also be recognized by two-way reversible one-counter automata (and hence by bounded error two-way quantum one-counter automata), and (iii) for any fixed k, quantum ones and deterministic ones are incomparable in one-way k-counter automata.